a block of known mass m is on a disk that rotates about its center, as shown above. the block does not slip on the disk, and travels at a constant tangential speed v when at a distance r from the center with a centripetal force of magnitude f exerted on it. which of the following statements about other quantities that might be determined is correct?

Answers

Answer 1

The block's centripetal acceleration may be calculated since ac=v2rac=v2r when the radius and tangential speed of the block are known.

In science, what exactly is a force?

The phrase "force" seems to have a precise definition in physics. It is quite acceptable to refer to a force of this level as a push or a pull. An item does not "have in it" or "contain" a force. One thing is subject to a force from another.

What do motion and force mean?

Basically, force is a push or pull that affects an item or energy as a characteristic of physical motion or movement. When two things interact, it happens. Furthermore, a body is said to be in motion when it is moving.

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Related Questions

problem 1
A train starts at rest, accelerates with constant acceleration a for 5minutes,then travels at constant speed for another 5minutes,and the decelerates with a.suppose it travels a distance of 10km in all find a
problem 2
A ball is dropped from a height of 10m.At the same time, another ball is thrown vertically upwards at an initial speed of 10m/sec.How high above the ground will the two balls collide
problem 3
find the resultant of the two velocity vectors and also, find the angle that the resultant makes with the vector ​

Answers

The constant acceleration of the train is 50/9 m/s².

The two balls will collide at a height of approximately 10.204 meters above the ground.

How to calculate the value

Using the kinematic equations of motion, we have:

distance = initial velocity * time + 1/2 * acceleration * time^2

For the first phase of acceleration, the initial velocity is zero, the time is 5 minutes = 300 seconds, and the distance traveled is unknown. So we have:

d1 = 0 + 1/2 * a * (300)^2

For the second phase of constant speed, the initial velocity is v, the time is 5 minutes = 300 seconds, and the distance traveled is also unknown. So we have:

d2 = v * 300

For the third phase of deceleration, the initial velocity is v, the time is also 5 minutes = 300 seconds, and the distance traveled is again unknown. So we have:

d3 = v * 300 + 1/2 * (-a) * (300)^2

The total distance traveled is the sum of these three distances:

distance = d1 + d2 + d3 = 1/2 * a * (300)^2 + v * 600 - 1/2 * a * (300)^2 = v * 600

Since the total distance traveled is given as 10 km = 10000 m, we have:

v * 600 = 10000

Solving for v, we get:

v = 10000/600 = 50/3 m/s

Now we can use the second equation above to find a:

d2 = v * 300 = (50/3) * 300 = 5000 m

Therefore, the constant acceleration of the train is:

a = 2 * (5000 - 1/2 * a * (300)^2) / (300)^2 = 50/9 m/s^2

The constant acceleration of the train is 50/9 m/s^2.

Problem 2: The height of the first ball dropped is given as 10m. Let's assume the height of the collision point is h meters above the ground.

Using the kinematic equation for free fall, we have:

h = 10 + 1/2 * g * t^2

where g is the acceleration due to gravity, which is approximately 9.81 m/s^2, and t is the time it takes for the second ball to reach the collision point after being thrown upwards.

The initial upward velocity of the second ball is 10 m/s, and we know that at the collision point, its velocity will be zero, since it will have reached its maximum height and will be momentarily at rest before falling back down.

Using the kinematic equation for motion with constant acceleration, we have:

0 = 10 + (-g) * t

Solving for t, we get:

t = 10/g = 10/9.81 seconds

Substituting this value of t into the first equation, we get:

h = 10 + 1/2 * 9.81 * (10/9.81)^2

Simplifying, we get:

h = 10.204 m

The two balls will collide at a height of approximately 10.204 meters above the ground.

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How can a systematic error affect the reported data?

Answers

The decimal can be in the wrong place

Answer:

A systematic error may result in a high degree of precision.

A systematic error will likely result in poor accuracy

Explanation:

It's what my work gave me when I got it wrong

For the simple harmonic oscillation where k = 19.6
N/m, A = 0.100 m, x = -(0.100 m) cos 8.08t, and v =
(0.808 m/s) sin 8.08t, determine (a) the total energy, (b)
the kinetic and potential energies as a function of time,
(c) the velocity when the mass is 0.050 m from
equilibrium, (d) the kinetic and potential energies at
half amplitude (x = A/2).

Answers

a. Total energy is 0.098 J

b. Potential and Kinetic Energies is 0.032 sin^2(8.08t) J

c. Velocity at x is -0.808 sin(8.08t) m/s

d. Potential and Kinetic Energies at x is 0.016 sin^2(8.08t) J

Step by step explanation

We can use the following formulas for the energy, velocity, and potential and kinetic energies of a simple harmonic oscillator:

Total Energy: E = 1/2 k A^2Velocity: v = -ωA sin(ωt)Potential Energy: U = 1/2 k x^2Kinetic Energy: K = 1/2 m v^2

where ω = √(k/m) is the angular frequency.

Given that k = 19.6 N/m, A = 0.100 m, x = -(0.100 m) cos 8.08t, and v = (0.808 m/s) sin 8.08t, we can find the values of E, U, and K as follows:

(a) Total Energy:

E = 1/2 k A^2 = 1/2 * 19.6 * 0.1^2 = 0.098 J

(b) Potential and Kinetic Energies:

U = 1/2 k x^2 = 1/2 * 19.6 * (-0.1 cos(8.08t))^2 = 0.098 cos^2(8.08t) J

K = 1/2 m v^2 = 1/2 * (0.1) * (0.808 sin(8.08t))^2 = 0.032 sin^2(8.08t) J

(c) Velocity at x = 0.050 m:

When x = 0.050 m, cos(8.08t) = -0.5, so we have:

v = -ωA sin(ωt) = -ω(0.1) sin(8.08t) = -0.808 sin(8.08t) m/s

(d) Potential and Kinetic Energies at x = A/2:

When x = A/2 = 0.050 m, cos(8.08t) = -0.5, so we have:

U = 1/2 k x^2 = 1/2 * 19.6 * (0.050)^2 = 0.0245 J

K = 1/2 m v^2 = 1/2 * (0.1) * (0.808 sin(8.08t))^2 = 0.016 sin^2(8.08t) J

Note that the sum of potential and kinetic energies at any point in time is equal to the total energy, which is constant.

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A certain CD has a playing time of 74.0 minutes. When the music starts, the CD is rotating at an angular speed of 480 revolutions per minute (rpm). At the end of the music, the CD is rotating at 210 rpm. Find the magnitude of the average angular acceleration of the CD. Express your answer in rad/s2.

Answers

Answer: \(0.00636\ rad/s^2\)

Explanation:

Given

CD has a playing time of \(t=74\ min\ or\ 74\times 60\ s\)

Initial angular speed of CD is \(480\ rpm\)

Final angular speed of DC is \(210\ rpm\)

Angular speed, when rpm is given

\(\omega =\dfrac{2\pi N}{60}\)

\(\omega_i=\dfrac{2\pi \times 480}{60}\\\\\Rightarrow \omega_i=16\pi \ rad/s\)

Final speed

\(\Rightarrow \omega_f=\dfrac{2\pi \times 210}{60}\\\\\Rightarrow \omega_f=7\pi \ rad/s\)

Using equation of angular motion

\(\Rightarrow \omega_f=\omega_i+\alpha t\)

Insert the values

\(\Rightarrow 7\pi =16\pi +\alpha \times 74\times 60\\\Rightarrow -9\pi =\alpha \cdot (4440)\\\\\Rightarrow \alpha=-\dfrac{9\pi}{4440}\\\\\Rightarrow \alpha=-0.00636\ rad/s^2\)

Magnitude of angular acceleration is \(0.00636\ rad/s^2\)

What is the vector sum of a vector T~ given by 40 m, 30 degrees and a vector U~ given by 12
m, 225 degrees?

Answers

Hence, R = 28.97 m, 24.5 degrees is the vector sum of T and U.

Is a vector at 30 degrees?

A vector's direction is frequently stated as a rotation of the vector's "tail" anticlockwise with respect to due East. In accordance with this practise, a vector having a direction of 30 degrees is a vector that has been anticlockwise rotated 30 degrees with respect to due east.

Let's begin by separating the components of the vector T:

T~ = 40 m, 30 degrees

T_x = 40 cos(30) = 34.64 m

T_y = 40 sin(30) = 20 m

Let's now decompose the vector U into its constituent parts:

U~ = 12 m, 225 degrees

U_x = 12 cos(225) = -8.49 m

U_y = 12 sin(225) = -8.49 m

It is possible to combine elements of the same type (x and y):

R_x = T_x + U_x = 34.64 m - 8.49 m = 26.15 m

R_y = T_y + U_y = 20 m - 8.49 m = 11.51 m

The Pythagorean theorem can be used to determine the size of the resulting vector R:

|R~| = sqrt(R_x² + R_y²) = sqrt((26.15 m)² + (11.51 m)²) = 28.97 m

The inverse tangent function can be used to determine the direction of the resulting vector R:

theta = tan⁻¹(R_y/R_x) = tan⁻¹(11.51 m/26.15 m) = 24.5 degree.

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Two charged objects, A and B, are exerting an electric force on each other. What will happen if the charge on A is increased?
А. The charge on B will decrease.
В. The charge on B will increase.
C. The electric force between A and B will decrease.
D. The electric force between A and B will increase.

Answers

Answer: The forces acting on both of them will increase in magnitude.

Explanation:

According to Coulomb's law, the electrostatic force between two bodies is proportional to the product of their two charges. If the charge on A is increased this product increases in size (it must have been non-zero to begin with, since there was a force between them at first). Thus, the force between them rises.

Answer:

d. seems like the right answer.

Explanation:

You are an engineer in charge of designing a new generation of elevators for a prospective upgrade to the Empire State Building. Before the state legislature votes on funding for the project, they would like you to prepare a report on the benefits of upgrading the elevators. One of the numbers that they have requested is the time it will take the elevator to go from the ground floor to the 102nd floor observatory. They are unlikely to approve the project unless the new elevators make the trip much faster than the old elevators. If state law mandates that elevators cannot accelerate more than 3.30 m/s2 or travel faster than 19.8 m/s , what is the minimum time in which an elevator can travel the 373 m from the ground floor to the observatory floor?

Answers

Answer:

22.505 seconds

Explanation:

V =19.8m/s

V = a*to

t1 = 19.8/3.3

= 6seconds

Distance travelled during acceleration

= 1/2 x 3.3 x 6²

= 59.4m

X_total = x1 + x2

X2 = 373-59.4

X2 = 313.6m

t2 = x2/v

= 313.6/19.8

= 16.505

Total = 16.505 + 6

= 22.505 seconds

the minimum time in which an elevator can travel the 373 m from the ground floor is 22.505 seconds.

If you, a physics student, weigh about 70 kg, are standing on the surface of 1
the Moon, who's mass is 7.34 x 10^22 kg what is the force of gravity acting
on the Moon and yourself? The radius of the Moon is 1.71 x 10^6 m.
25 units
400 units
117 N
200 N

Answers

Answer:

it's answer is 117 N

F = Gm1m2/r^2

F = 6.67 * 10 ^-11 * 70 * 7.34 * 10 ^22/(1.71 * 10 ^6)^2

F = 117 N

hope it helps you

Two carts connected by a 0.50 m spring hit a wall, compressing the spring to 0.25 m. The spring constant k is
N
200
m
What is the elastic potential energy stored from the spring's compression?
Khan aced my?

Answers

Answer:

6.25J

Explanation:

bc that’s the answer on khan

Two carts connected by a 0.50 m spring hit a wall, compressing the spring to 0.25 m. If the spring constant k is 200 N/m, then the elastic potential energy stored from the spring's compression would be 6.25 J.

What is the spring constant?

The spring constant is used to define the stiffness of the spring, the greater the value of the spring constant stiffer the spring and it is more difficult to stretch the spring.

The mathematical relation for calculating the spring constant is as follows

F = - Kx

as given in the problem Two carts connected by a 0.50 m spring hit a wall, compressing the spring to 0.25 m. If the spring constant k is 200 N/m,

The elastic potential energy stored is given by

E = 1/2 kx²

  =0.5×200×0.25²

  =6.25 J

Thus, the elastic potential energy stored from the spring's compression would be 6.25 J.

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Provide one example of cultural change at the nonmaterial level.

Answers

Answer:

Examples include cars, buildings, clothing, and tools. Nonmaterial culture refers to the abstract ideas and ways of thinking that make up a culture. Examples of nonmaterial culture include traffic laws, words, and dress codes.


Blue light with a wavelength of 4.57 E-7 m is used in Young's experiment with the slits separated by a distance of 2.42 E-4Y
m. The screen is located at a distance from the slits of 4.5 m. Calculate the distance on the screen between the central
bright fringe and the first bright fringe. Show all work for full credit.

Answers

The distance between the central bright fringe and the first bright fringe on the screen is approximately 8.52E-3 meters.

In Young's double-slit experiment, the distance between the central bright fringe (m = 0) and the first bright fringe (m = 1) can be calculated using the following formula:

y = (m * λ * L) / d

where:

y is the distance between the fringes on the screen,

m is the order of the fringe (0 for the central bright fringe, 1 for the first bright fringe),

λ is the wavelength of the light,

L is the distance from the slits to the screen, and

d is the distance between the slits.

Given the values:

λ = 4.57E-7 m (blue light wavelength)

d = 2.42E-4 m (distance between the slits)

L = 4.5 m (distance from the slits to the screen)

For the central bright fringe (m = 0), the distance (y) is:

y = (0 * 4.57E-7 m * 4.5 m) / 2.42E-4 m

y = 0

Therefore, the central bright fringe coincides with the point where the two beams of light overlap.

For the first bright fringe (m = 1), the distance (y) is:

y = (1 * 4.57E-7 m * 4.5 m) / 2.42E-4 m

y ≈ 8.52E-3 m

This calculation demonstrates how the interference pattern in Young's experiment is formed, with bright and dark fringes being produced based on the constructive and destructive interference of the light waves from the two slits. The distance between these fringes depends on the wavelength of light, the separation of the slits, and the distance between the slits and the screen.

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what is diffusion and osmosis​

Answers

Answer:

In explanation

Explanation:

DIFFUSION:

The movement of particles from a region where they are in higher concentration to a region where they are in lower concentration until the equilibrium is achieved is known as the process of "Diffusion". It occurs in all three states of matter, that is solid, liquid and gas.

OSMOSIS:

When the particles of a solvent move from a region of higher concentration to a region of lower concentration through a semi-permeable membrane until the concentration of the solution is balanced, is known as "Osmosis". It occurs in liquids only.

coefficient of the kinetic friction between the object and the surface (3) 3 Distance the object travels on the horizontal surface before it comes to a stop. (5​

Answers

Based on the coefficient of kinetic friction, the object will travel a distance of approximately 37 meters before coming to a stop.

The correct option is C.

What is the distance traveled by the object?

The distance an object will travel before coming to a stop can be calculated using the equation:

vf² = vi² + 2ad

where

vf is the final velocity (which is zero when the object comes to a stop)vi is the initial velocity,a is the acceleration, andd is the distance traveled.

The acceleration of the object can be determined using the equation:

a = -μk * g

where

μk is the coefficient of kinetic friction andg is the acceleration due to gravity.

Substituting the given values, we get:

a = -0.050 * 9.81 m/s²

a = -0.491 m/s²

Now we can use the first equation to solve for d:

0 = (6.0 m/s)² + 2(-0.491 m/s²)d

d = (6.0 m/s)^2 / (2 * 0.491 m/s^2)

d = 37 m

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Complete question:

An object is given an initial velocity of 6.0 m/s. The coefficient of kinetic friction between the object and the horizontal surface it slides across is 0.050. How far will the object travel before coming to a stop?

A) 19 m B) 25 m C) 37 m D) 57 m E) 102 m

Help on this question ‼️

Help on this question

Answers

Answer:

I think the option b

Is the answer

Answer:

C

Explanation:

after a CCW rotation it would become a waning gibbous, so after a Clockwise rotation it would be a waxing gibbous (opposite)

The horizontal force FP = 150 N force pushes the block 5.5 m up along a 32∘ incline. A coefficient of friction μk = 0.11 m= 18kg

An 18 kilogram block lies on a plane inclined at 32 degrees above the horizontal. A horizontal force F subscript P of 150 newtons pushes the block toward the incline.

Part A

How much work is done by the horizontal force FP ?
Express your answer to three significant figures and include the appropriate units.

Part B

How much work is done by the gravitational force on the block during this displacement?
Express your answer to three significant figures and include the appropriate units.

Part C

How much work is done by the normal force?
Express your answer to three significant figures and include the appropriate units.

Part D
How much work is done by the friction force?
Express your answer to three significant figures and include the appropriate units.

Part E
What is the speed of the block (assume that it is zero initially) after this displacement?
Express your answer to two significant figures and include the appropriate units.

Answers

(a) The amount of work done by the horizontal force is 825 J.

(b) The amount of work done by gravitational force during the displacement is 514.1 J.

(c) The amount of work done by the normal force is 822.78 J

(d) The amount of work done by the frictional force is 90.5 J.

(e) The speed of the block after the displacement is 9.03 m/s.

Work done by the horizontal force

The work done by the horizontal force is calculated as follows;

W = Fd

W = 150 x 5.5 = 825 J

Work done by gravitational force during the displacement

W = mgh

W = mg(Lsinθ)

W = (18)(9.8)(5.5 x sin32)

W = 514.1 J

Work done by the normal force

W = Fn x d

W = (mgcosθ) x d

W = (18)(9.8)(cos 32) x (5.5)

W = 822.78 J

Work done by the friction force

W = Ff x d

W = μFn x d

W = μmgcosθ x d

W = (0.11)(18)(9.8)(cos32) x (5.5)

W = 90.5 J

Acceleration of the block after the displacement

∑F = ma

F - Ff = ma

F -  μFn = ma

F -  μmgcosθ = ma

150 - (0.11 x 18 x 9.8 x cos32) = 18a

150 - 16.456 = 18a

133.544 = 18a

a = 7.42 m/s²

Speed of the block after the displacement

v² = u² + 2as

v² = 0 + 2(7.42)(5.5)

v² = 81.62

v = √81.62

v = 9.03 m/s

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Answer:

  A) 700 J

  B) -514 J

  C) 0 J

  D) -139 J

  E) 2.3 m/s

Explanation:

The amount of work done on an object is the product of applied force and displacement. The work done on an object will be translated to potential energy, kinetic energy, and heat (due to friction).

Part A

The horizontal force applied to the block is 150 N. The displacement of the block is (5.5 m)cos(32°) ≈ 4.664 m. The work done by the horizontal force is ...

  Wh = F·d = (150 N)(4.664 m) ≈ 700. J

Part B

The force due to gravity is given by the equation ...

  F = mg

Using g = -9.8 m/s² and the given mass, the gravitational force applied to the block is ...

  F = (18 kg)(-9.8 m/s²) = -176.4 N

The upward displacement of the block is (5.5 m)sin(32°) ≈ 2.915 m. As above, the work is the product of this and the displacement. (Upward displacement is positive.)

  Wg = F·d = (-176.4 N)(2.915 m) ≈ -514 J

Part C

The normal force on the block is perpendicular to the direction of motion. It will be the sum of the forces due to gravity and the horizontal force in the direction normal to the incline. In the direction into the incline, the force normal to the incline is ...

  (150 n)sin(32°) +(176.4 N)cos(32°) ≈ 79.488 N +149.596 N ≈ 229.083 N

There is no displacement normal to the incline, so the work done by the normal force is ...

  Wn = (229.1 N)(0 m) = 0 J

Part D

The friction force is the product of the coefficient of friction and the normal force:

  F = µk·(229.083 N) = (0.11)(229.083 N) ≈ 25.20 N

This force operates in the direction opposite to the displacement. The work it does is ...

  Wf = (-25.20 N)(5.5 m) ≈ -139 J

Part E

The total of all work done on the block will result in the block having a certain kinetic energy. That energy is ...

  KE = (700 J) +(-514 J) +(0 J) +(-139 J) ≈ 46.92 J

This translates to the final velocity using the formula ...

  v = √(2·KE/m) . . . . . m is mass

  v = √(2·46.92 J/(18 kg)) ≈ 2.3 m/s

__

Additional comments

• Per problem requirements, the results of calculations are shown to 3 (or 2) significant figures. Intermediate calculations are kept to a sufficient number of significant figures to ensure accuracy in all reported values.

• When displacement is in the direction opposite to the applied force, the work done by the force is negative.

• The attached diagram is intended to help visualization of the forces and their components.

The horizontal force FP = 150 N force pushes the block 5.5 m up along a 32 incline. A coefficient of

you have a paperclip with a mass of 1.5 grams How many miligrams is it?

Answers

To solve this problem, we have to transform 1.5 grams into milligrams.

We know that 1 gram is equivalent to 1000 milligrams, so we do the transformation as follows

\(x=1.5g\cdot\frac{1000mg}{1g}=1,500mg\)Therefore, 1.5 grams equals 1,500 milligrams.

How much force is needed to move a 12 kg mass 10 m/s?? FEMA

Answers

Answer:

F=ma

=12×10

120 N.........

Answer:

F = 120 N [Newtons]

Explanation:

F = 120N

If the speed is 10m/s² [an acceleration], and the mass is 12 kg [kilograms].

F [Force] = ma [mass × acceleration].

F = 10 × 12 = 120.

It cannot be a velocity because time is not given.

Momentum would be the velocity times mass. p = mv.

To calculate the final enthalpy of the overall chemical equation, which step must occur?

Answers

Answer:

Explanation:

Reverse the second equation, and change the sign of the enthalpy

Ite
Ite
A student creates a scale model of planets where 1 centimeter (cm) is equal to 10,000
kilometers (km). In this model, which planet would have a diameter of approximately 12
cm? (1 point)
le
Iter
o Jupiter
o Mars
0 Saturn
o Earth

Answers

Answer:

12 cm * 10^4 km / cm = 1.2 * 10^5 km

Published diameter of Saturn = 1.206 * 10^5 km  

A student creates a scale model of planets where 1 centimeter (cm) is equal to 10,000 kilometers (km). In this model, then the planet which have a diameter of approximately 12 centimeters would be Saturn, therefore the correct answer is option C.

What is the scale factor?

It is defined as the multiplication factor used for the design of an object with respect to some other object. the scale is generally used to design prototype designs of large objects. It is also used in interior design planning rooms.

It is multiplied by the design dimension to get the actual size of the object or product.

As given in the problem a student creates a scale model of planets where 1 centimeter (cm) is equal to 10,000 kilometers (km).

1 centimeter = 10,000 kilometers

12 centimeter = 1.2 ×10⁵ kilometers

Saturn has an approximate diameter of  1.2 ×10⁵ kilometers.

Thus, the correct answer is option C.

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If you know anything about physics please help me i am extremely confused thank you

If you know anything about physics please help me i am extremely confused thank you

Answers

Each point is at 1-sec time interval, So velocity will be 20 m/s downward at point F.

What is 1st kinematic equation?

Kinematics is a branch of classical mechanics that studies the motion of points, objects, and groups of things without addressing the causes of motion. Kinematics is derived from the Greek word "kinesis," which means "motion."

Kinematic equations are a collection of equations that explain an object's motion with constant acceleration. Integrals, rates of change, and derivatives must be understood in order to solve kinematics problems.

Given that Initial speed of ball = V₁= 30 m/s at point A

Now V₂ = -20 m/s [(-)ve sign since final velocity is downward]

a = acceleration due to gravity = - 10 m/s², So

Using 1st kinematic equation:

V₂ = V₁ + a × t

t = (V₂ - V₁)/a

t = [(-20) -30] / (-10) = 5 sec

So velocity of ball will be 20 m/s in downward direction after 5 sec.

Since each point is at 1-sec time interval, So velocity will be 20 m/s downward at point F.

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Given the two vectors below, find the magnitude of the resultant vector's force in Newtons if both vectors are added together. Round your answer to 1 decimal place precision.Force Vector 1 = 59 Newtons inclined at 90 degrees to the positive x-axisForce Vector 2 = 33 Newtons inclined at 0 degrees to the positive x-axis

Answers

Answer:

Below

Explanation:

You can just use Pythagorean theorem for this one because the vectors are at a right angle to each other

59^2 + 33^2 = R^2

R = 67.6 N

Given the two vectors below, find themagnitudeof the resultant vector's force in Newtons if both vectors

Cho places a letter from Cedric in a box and pushes the now 1.5 kg box against a 25 N/m spring and compresses it leftwards 0.5 m pver a rough patch of scarring on the table with a coefficient of friction of 0.2. She then releases the box so it slides against the table for 2.30 until it launches off at 75 degrees, to the horizontal. It lands in a pile of boxes 3.5 m away from the base of the table. fi the box can withstand a maximum fall from 2,5 m high, will the box land safely or will her letter be ruined?

Answers

In compressing the spring by 0.5 m, Cho stores

1/2 (25 N/m) (0.5 m)² = 3.125 J

of potential energy. As the spring relaxes, some of this potential energy is converted into kinetic energy K in the box and the rest is lost to heat H due to friction:

K - H = 3.125 J

By the work-energy theorem, the total work W performed on the box during this process is equal to the change in the box's kinetic energy. It starts at rest when the spring is compressed, so

W = K - 0 = 1/2 (1.5 kg) v²

By Newton's second law,

• the net vertical force on the box is

∑ F (ver) = n - mg = 0

where n is the magnitude of the normal force from contact with the table, and mg is the weight of the box. It follows that

n = mg = (1.5 kg) (9.8 m/s²) = 14.7 N

• the net horizontal force is

∑ F (hor) = r - f = ma

where r is the mag. of the restoring force, f = 0.2 n is the mag. of kinetic friction, and a is the resulting acceleration of the box. Friction exerts an opposing force of

f = 0.2 (14.7 N) = 2.94 N

The work done by the spring as it relaxes is 3.125 J. The work done by friction is (2.94 N) (0.5 m) = 1.47 J. Therefore the total work done on the box is

W = 3.125 J - 1.47 J = 1.655 J

Find the speed of the box v when it returns to the equilibrium position:

1/2 (1.5 kg) v² = 1.655 J

v² = (3.31 J) / (1.5 kg)

v ≈ 1.49 m/s

I assume the rest of the table is not scarred. (If it is, the box would come to a stop well before 2.30 seconds have passed, or before the box can slide for 2.30 m.) Then the box leaves the table with speed v at an angle of 75°, so that the horizontal distance x that it covers in the air after t seconds is

x = v cos(75°) t

and its tolerable height y is

y = 2.5 m + v sin(75°) t - g/2 t²

(if y turns out negative for some t, that means it has fallen more than 2.5 m and cannot land safely)

The pile is 3.5 m away from the table, so with its launch speed the box travels this distance in time t such that

v cos(75°) t = 3.5 m

t = (3.5 m) / ((1.49 m/s) cos(75°)) ≈ 9.1 s

After such time, the box would have height

2.5 m + v sin(75°) (9.1 s) - g/2 (9.1 s)² ≈ -390.51 m

i.e. it would be nearly 400 m underground! So no, the box will not land safely.

As an admirer of Thomas Young, you perform a double-slit experiment in his honor. You set your slits 1.13 mm apart and position your screen 3.75 m from the slits. Although Young had to struggle to achieve a monochromatic light beam of sufficient intensity, you simply turn on a laser with a wavelength of 647 nm . How far on the screen are the first bright fringe and the second dark fringe from the central bright fringe

Answers

Answer:

Explanation:

slit separation d = 1.13 x 10⁻³ m

screen distance D = 3.75 m

wavelength of light λ = 647 x 10⁻⁹ m

Distance of first bright fringe = fringe width = λ D / d

λ D / d  = 647 x 10⁻⁹ x 3.75 m / 1.13 x 10⁻³ m

= 2.147 x 10⁻³ m

= 2.147 mm .

Distance of first bright fringe = 2.147 mm .

Distance of second  dark  fringe = 1.5 x fringe width

= 1.5 x 2.147 mm .

= 3.22 mm .

how long does it take energy to pass through the radiative zone

8 minutes A

100,000 years B

10,000 years C

100 years D

Answers

Time it takes energy to pass through radiative zone is :  A) 8 minutes

How long does it take energy to pass through radiative zone?

Energy generated in the core of the Sun takes about 8 minutes to pass through radiative zone and reach the top of convective zone. The radiative zone is a layer of the Sun that lies just outside the core and it is characterized by high density and high temperature.

In this zone, energy is transported by photons that bounce around between atoms and ions that make up the plasma of the Sun. This process is known as radiative diffusion and is relatively slow compared to convective transport of energy that takes place in the outer layers of Sun.

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which two options describes behaviors of particles that are related to the chemical properties of the materials

a- forming hydrogen bonds between them
b- reacting quickly with water
c- having a high mass
d- forming bonds with other atoms

Answers

The two options describes behaviors of particles that are related to the chemical properties (chemical change) of the materials are b )reacting quickly with water d) forming bonds with other atoms

What is a chemical change ?

A chemical change is that change when two or more substance combine to form a new substance . It rearranges the constituent atom of the reactants to create different substances as product .

a) Forming hydrogen bonds between them will not create any new substance , it is just a bond between atoms due to which no chemical change will take place as no new substance is formed

b)  Reacting quickly with water is a chemical change as reaction is been taking place and a new substance will form after the reaction .

hence  b ) reacting quickly with water is a correct answer

c) Having a high mass : It is a physical quantity hence can't be related to chemical property .

d) Forming bonds with other atoms is a chemical reaction as forming bond with other bond will make a new substance ( product ) and it is a chemical change .

Hence , d) forming bonds with other atoms is a correct option

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Particles which must fuse or stick together in the nuclei of atoms during nuclear reactions in stars are

Answers

The particles which must fuse or stick together in the nuclei of atoms during nuclear reactions in stars are atoms of hydrogen.

During a nuclear fusion reaction that occurs in stars, the nuclei of two atoms will combine to form a new atom with a release of energy.

This nuclear reaction usually occur in the core of a star, and the particles involved include the following;

two hydrogen atoms fuse to become a helium atom.

The reaction equation can be represented as;

\(H \ + \ H \ --> He + \ energy\)

Thus, we can conclude that, the particles which must fuse or stick together in the nuclei of atoms during nuclear reactions in stars are atoms of hydrogen.

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A dish of ice cream was left out on a table and is beginning to melt. What conclusions can be made?
Energy is being transferred from the table to the dish of ice cream.
Energy is being created by the dish of ice cream and being released into the table.
Energy is being created by the table, causing the ice cream to melt.
Energy is flowing from the air and the table to the ice cream, which causes the ice cream to melt.

Answers

Answer:

Energy is flowing from the air and the table to the ice cream, which causes the ice cream to melt

For the dish of ice cream, energy is flowing from the air and the table to the ice cream, which causes the ice cream to melt.

What is energy transfer?

The energy transfer is the process of conversation of the one of energy into the another form. This energy can be transfer from heat energy to mechanical energy or from light energy to electric energy.

Here, the dish of ice cream was left out on a table and is beginning to melt.

As the dish of ice cream is melt, then there is the endothermic process (the process in which the energy is released in the form of light or heat) take place.

As the endothermic process is the process in which the energy is released in the form of light or heat.

Thus, in order to melt the dish of ice cream, it need to absorb the energy by the ice cream to melt. This energy is transferred from the surrounding to the ice cream.

Thus, for the dish of ice cream, energy is flowing from the air and the table to the ice cream, which causes the ice cream to melt. Option D is the correct option.

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Write the equation for finding speed (v) when given a displacement (difference between two positions X₁ and x2) and the corresponding interval (difference between two clock readings t₁ and t₂). After writing the equation, apply it to find the speed of Walking Dude.​

Write the equation for finding speed (v) when given a displacement (difference between two positions

Answers

The equation for finding speed is given by v = (x₂ - x₁) / (t₂ - t₁), where x is the displacement and t is the corresponding interval. The speed of the walking dude remains constant at 2 m/s.

How to calculate speed?

To find the speed of Walking Dude, using  v = (x₂ - x₁) / (t₂ - t₁), insert the values for x and t.

For t = 0 and 2 seconds, the displacement is x = 0 and 4 meters respectively. So,

v = (4 - 0) / (2 - 0) = 4 m/s

For t = 2 and 4 seconds, the displacement is x = 4 and 8 meters respectively. So,

v = (8 - 4) / (4 - 2) = 2 m/s

For t = 4 and 6 seconds, the displacement is x = 8 and 12 meters respectively. So,

v = (12 - 8) / (6 - 4) = 2 m/s

For t = 6 and 8 seconds, the displacement is x = 12 and 16 meters respectively. So,

v = (16 - 12) / (8 - 6) = 2 m/s

Thus, the speed of Walking Dude remains constant at 2 m/s during the entire time period.

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find the speed v0 with which the quarterback must throw the ball. answer in terms of d , tc , vr , and g .

Answers

The required speed v₀ with which the quarterback must throw the ball is v₀ = √(vr^2 + 2gd) / cos(tc).

What is Speed?

Velocity is the pace and direction of an object's movement, whereas speed is the time rate at which an object is travelling along a path. In other words, velocity is a vector, whereas speed is a scalar value.

According to question:

The speed v₀ with which the quarterback must throw the ball can be determined using the following formula:

v₀ = √(vr^2 + 2gd) / cos(tc)

where:

d is the distance from the quarterback to the receiver,

tc is the angle between the ground and the trajectory of the ball,

vr is the velocity of the receiver (assumed to be moving horizontally), and

g is the acceleration due to gravity (approximately 9.8 m/s^2).

Note that this formula assumes that the ball is thrown with a velocity that is equal to the initial velocity of the receiver. If the receiver is moving in a different direction, or with a different speed, the formula may need to be adjusted accordingly.

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Which type of twins are most crucial to research when studying the relationship between nature and nurture? Why?

Answers

Answer:

Another option for observing nature-nurture in humans involves twin studies. There are two types of twins: monozygotic (MZ) and dizygotic (DZ). Monozygotic twins, also called “identical” twins, result from a single zygote (fertilized egg) and have the same DNA. They are essentially clones.

Answer:

Another option for observing nature-nurture in humans involves twin studies. There are two types of twins: monozygotic (MZ) and dizygotic (DZ). Monozygotic twins, also called “identical” twins, result from a single zygote (fertilized egg) and have the same DNA. They are essentially clones.

Explanation:

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