A potato falling vertically downward is struck by a dart that is traveling vertically upward, as shown above. The dart and potato then collide, stick together, and continue moving after the collision.The weight of the dart is W. Which of the following claims best describes the magnitude of the net force on the dart immediately before, during, and immediately after the collision with the potato?

The sum of the figures given is determined as 362,003.245 m.

The sum of the figures given in the question is calculated as follows;

134.5 cm = 1.345 m

= 1.9 m + 1.345 m + 3.62 × 10⁵ m

= 1.9 m + 1.345 m + 362,000 m

= 362,003.245 m

Thus, the sum of the figures given is determined as 362,003.245 m.

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Answer:

P = 84.1 MPa

Explanation:

       \(P = \rho * g * h (1)\)

       where ρ = density of salt water (in Kg/m³),

       g = acceleration due to  gravity  (in m/s²)

       h = height of the column of water.

      \(P = \rho * g * h = 1023.6kg/m3*9.8m/s2*8380m = 84.1 MPa (2)\)

Momentum = (mass) x (speed)

We don't know the mass of the bowling ball, but we know how much it weighs.  So if we knew the acceleration of gravity in the place where the ball is, we could calculate its mass.  The question doesn't tell us what planet the bowling ball is on.  So if we only use the information given in the question, there's no way to find the answer, and we're stuck here.

But I urgently need the points, so I'm going to go out on a limb here and make a big assumption:  I'll assume that the alley where this ball is rolling and bowling is located on planet Earth, where the acceleration  of gravity is around  9.8 m/s²  everywhere on the planet's surface.  NOW I can go ahead and answer the question that I just invented.

weight = m  g

Mass = (weight) / (g)

Mass = (78.0 N) / (9.8 m/s²)

Mass = 7.96 kilograms

Momentum = (mass) x (speed)

Momentum = (7.96 kg) x (8.00 m/s)

Momentum = 63.7 kg-m/s

Answer:

Explanation:

Atomic mass is nuetrons + protons.

Basically it's

? nuetrons + protons = 64

I did process of elimination:

b) It cannot be "b" because 29 + 64 doesn't equal 64.

c) It cannot be "c" because in a regular molecule the amount of protons equals to amount of electron(s).

d) 29 + 29  doesn't = 64.

Therefore, the answer is "A"

Answer: A

Explanation: Just took the test on a.pex

Explanation:

Here is the first one....you should try the second one...

Answer:

I think the answers March 21

Answer:

Once a year, mean solar time and sidereal time will be the same.

In order to draw the free body diagram, let's draw the cart as a rigid object and each external applied force acting on this rigid object.

Also, the bigger the magnitude of the force, the bigger the arrow we draw to represent this force.

So we have:

Since the force to the left is greater than the force to the right and they are acting in opposite directions, the resulting force is the difference of the magnitudes and the resulting force is to the left. Therefore the blue team is the winner.

As the box compresses the spring, the spring performs

-1/2 (85 N/m) (0.065 m)² ≈ -0.18 J

of work on the box. By the work energy theorem, the total work performed on the box (which is done only by the spring since there's no friction) is equal to the change in the box's kinetic energy. At full compression, the box has zero instantaneous speed, so

W = ∆K   ==>   -0.18 J = 0 - 1/2 (2.5 kg) v ²

where v is the box's speed when it first comes into contact with the spring. Solve for v :

v ² ≈ 0.14 m²/s²   ==>   v ≈ 0.38 m/s

Hi there!

We can use the following kinematic equation:
\(v_f^2 = v_i^2 + 2ad\)

vf = final velocity (0 m/s at the top of the trajectory)
vi = initial velocity (at which it was thrown, ? m/s)

a = acceleration (due to gravity, 9.8 m/s²)

d = displacement of the javelin (100 m)

We can plug in the givens:
\(0 = v_i^2 + 2(-9.8)(100)\\\\2(9.8)(100) = v_i^2\)

Take the square root to solve:
\(v_i = \sqrt{2(9.8)(100)} = \boxed{44.27 \frac{m}{s}}\)

Answer:

That the universe is at least 13.2 billion years old

Explanation:

The most distant galaxy we have observed is more than 13.2 billion light-years away. this evidence indicates. That the universe is at least 13.2 billion years old

The universe is the sum total of all existent matter and space. The universe is estimated to be at least 10 billion light-years across and contains an enormous number of galaxies;

It has been expanding since the Big Bang some 13 billion years ago.

The most distant galaxy we have observed is more than 13.2 billion light-years away. this evidence indicates. That the universe is at least 13.2 billion years old

Hence option c is correct.

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main answer- by keeping resistance constant,voltage should be increased

supporting answer-For keeping the current constant we must keep the resistance constant so that the current will stay constant

When the length of the conductor is going to be increased then the voltage should also be increased as there is a resistance increase due to the length increase at the conductor because it goes by the formula r is equal to raw l by a where is the resistivity of the conductor and length of the conductor by divided by area of the conductor

To keep the following current constant reverse increase the voltage supply to the circuit

final answer-by keeping resistance constant,voltage should be increased

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You will need to increase the cross-sectional area of the wire in order to keep the current steady.

What is wire?
A wire is a thin, malleable metal strand. The most common way to make wire is to draw the metal through a hole in a draw plate or die. When expressed in terms of a gauge number, wire gauges are available in a variety of common sizes. Mechanical loads are carried by wires, frequently in the form of wire rope. A "wire" can refer to an electrical cable in the context of electricity and telecommunications signals. This type of cable may have a "solid core" made up of a single wire or multiple strands woven together in stranded or braided forms. While wire is often cylindrical in shape, it can also have alternative cross-sections, such as square, hexagonal, flattened rectangular, or other shapes, for both aesthetic and technical uses, such as high-efficiency voice coils in loudspeakers.

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Answer:

b

Explanation:

When the floor started to heat because of the warmer weather, the wooden floor started to dilate due to the increase in thermal energy, increasing its area. Since there wasn't space for it to expand, the floor started to buckle.

Then, trimming the edges of the floor was the solution, because this way the floor has space to expand due to dilation.

The statement that correctly states this information is found in option B.

Lenses, which are pieces of curved, clear glass, were employed in early telescopes to focus light.

Curved mirrors are used by the majority of telescopes nowadays to collect light from the night sky. Light is focused by a telescope's mirror or lens' shape.

Astronomers use a telescope to observe distant things. Curved mirrors are used by the majority of telescopes, including all large telescopes, to collect and concentrate light from the night sky.

The original telescopes employed lenses, which are simply curved pieces of clear glass, to focus light. The "optics" of a telescope are the mirrors or lenses. Strong telescopes may view objects that are extremely faint and incredibly far away.

Therefore, Lenses, which are pieces of curved, clear glass, were employed in early telescopes to focus light.

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Answer:

F = 695.25 N

Explanation:

The force between Mars and Rover can be given by Newton's Law of Gravitation can be written as follows:

F = Gm₁m₂/r²

where,

F = Force of Gravity = ?

G = Universal Gravitational Constant = 6.67 x 10⁻¹¹ N.m²/kg²

m₁ = mass of rover = 74 kg

m₂ = mass of mars = 6.39 x 10²³ kg

r = distance between the centers of mars and rover = 2.1299 x 10⁶ m

Therefore,

F = (6.67 x 10⁻¹¹ N.m²/kg²)(74 kg)(6.39 x 10²³ kg)/(2.1299 x 10⁶ m)²

F = 695.25 N

a) The magnitude will be 0.838m

b) The displacement will be -17.35°

The path covered by an object from its initial point to final point.

Forces acting on the duck

x-axis:    0.13 + 0.16*cos(-56°) = 2.7 * ax  

ax = 0.0813 m/s^2

y-axis:    0.13*sin(-56°) = 2.7 * ay  

ay = -0.0491 m/s^2

The displacement on the x-axis

X = Vox * t + ax/2 * t²

X = 0.12* 3.2 + 0.0813/2*3.2²

X = 0.8

The displacement on the y-axis:

Y = Voy * t + ay/2 * t²

X = 0 - 0.0491/2*3.2²

Y=-0.25m

So, the magnitude and angle of this displacement [0.8,-0.25] is:

0.838m  at an angle of -17.35°

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Bones are physical characteristics that protect animals from forces.

Answer:

\(\omega '=-13.5rad/s\)

Explanation:

From the question we are told that:

Time \(t=4sec\)

Angular displacement \(\theta= 161 rad\)

Final Angular velocity  \(\omega = 100 rad / s\)

Let

Angular acceleration \(\alpha\)  

Generally the equation for Initial Angular velocity  \(\omega '\) is mathematically given by

\(-\omega '^2=2 \alpha \theta -\omega^2\)

\(\omega '^2= \alpha 328 +11236\)

Also,Initial Angular velocity  \(\omega '\) is mathematically given by

\(\omega '=\omega - \alpha t\)

Therefore substitution

\(-\omega '^2=2 \alpha \theta -\omega^2\)

\(\omega '=\omega - \alpha t\)

\((\omega - \alpha t)^2=2 \alpha \theta -\omega\)

\(-16\alpha^2+848\alpha+11236= \alpha 328 -11236\)

\(16\alpha^2-520\alpha=0\)

\(\alpha=29.875rads/s^2\)

Substitution in the 2nd equation for Initial Angular velocity  \(\omega '\)

\(\omega '=106-(29.875rads/s^2*4)\)

\(\omega '=-13.5rad/s\)

The diagram and specific values for angle, mass, and force are missing from the question, making it difficult to provide exact numerical solutions. However, the provided solution approach should help you solve the problem once you have the necessary values.

To solve the given problems, we need to use principles of Newton's laws of motion and the equations of motion. Here are the solutions to each part:

To find the time it takes to move the block up the incline by a distance of 2 m, we need to consider the forces acting on the block. The force component acting parallel to the incline is F_parallel = F * sin(30°). The force component perpendicular to the incline is F_perpendicular = F * cos(30°). The net force acting up the incline is F_net = F_parallel - frictional force.

Using Newton's second law, F_net = m * a, we can calculate the acceleration of the block. Then, we can use the equation of motion, d = v_i * t + (1/2) * a * t^2, where d is the distance (2 m) and v_i is the initial velocity (0 m/s) to solve for time (t).

To find the horizontal force needed to move the block 2 m up the incline in 1 second, considering a rough surface with a coefficient of kinetic friction (μ = 0.2), we need to calculate the frictional force. The frictional force can be determined as F_friction = μ * N, where N is the normal force. The normal force can be found as N = m * g * cos(30°). Then, we can find the net force acting up the incline as F_net = F - F_friction and use the same approach as in part 1 to find the required force.

To find the time it takes for the block to reach a speed of 5 m/s starting from rest at the top, when the force F is removed and the surface is smooth, we need to use the equation of motion, v_f = v_i + a * t, where v_f is the final velocity (5 m/s), v_i is the initial velocity (0 m/s), and a is the acceleration due to gravity (g). Rearranging the equation, we can solve for time (t).

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Answer:

120 v

Explanation:

The two resistors have an equivalent of    20 * 30 /(20+30) = 12 ohms

  10 amps of current in the circuit

v = ir

  = 10 * 12 = 120 volts

Here is another way:

The two resistors are in prallel so the voltae across both is the same

  use the one on the right      v = ir     =   4 x 30 = 120 v

As a result, the picture behind the mirror is virtual, upright, and enlarged.

You will find that the properties of an image (SALT) created in a concave mirror depend on the object's position. A) if the item is larger than C. Size, attitude, and location are all important considerations.

The image will be true, but reversed and much reduced. To obtain a crisp flame image, move the burning candle towards the mirror while moving the screen away from it. The size of the inverted picture grows.

Concave mirrors may create both physical and virtual images. A virtual and enlarged picture is produced when the item gets closer to the mirror. When the item is placed further away from the mirror,.

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The earthquake would occur 13 minutes before 10:05 a.m. which will be at 9.52 am.

The p-waves travel with a constant velocity of 7 km/s

The time can be calculated by using the formula

t = d / v

where

T1 =  10:05 a.m

d is the distance they take to travel from the epicenter

v is the speed of the p-waves

On average, the speed of p-waves is

v = 7 km/s

d = 5600 km (given)

Substituting the values in the formula;

t = d / v

t = 5600 ÷ 7

t = 800 seconds

Converting into minutes,

t = 800 ÷ 60

t = 13.3

≈ 13 mins

T1 -  13 mins = T2

10:05 - 13 mins = 9.52 am

It means the earthquake occurred prior 13 minutes, that is at 9.52 am.

Therefore, the earthquake occurred at 9.52 am.

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The psychologist who emphasizes the social learning perspective explain this behavior would say that Ibrahim has observed others who model aggressive behavior. Option B

According to social psychology, aggression refers to any conduct or action intended to hurt a person, an animal, or cause physical injury to property. Here are a few instances of aggressive behavior: physical harm. screaming, cursing, and foul language.

Aggression is an overt or covert social engagement that is frequently harmful and intended to cause harm to another person.

Aggressive behavior is forceful, reactive, and impulsive behavior that frequently leads to breaching social norms or the law.

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A projectile is launched at an angle of 60 degrees above the horizontal. Compared to the vertical component of the initial velocity of the projectile, the vertical component of the projectile's velocity when it has reached its maximum height is (1) smaller

Projectile motion is a form of motion in which object or particle ( called a projectile , is thrown near earth's surface and it moves along a curved path under the action of gravity only.

At the top of the projectile  , vertical velocity is zero

and

vertical velocity component of the initial velocity will be = u sin(theta)

                                                                                         = u sin (60) = \(\sqrt{3}\)/2 u

hence , correct option will be

1 ) smaller

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Explanation:

It is given that,

The position of a particle is given by :

\(r(t)=(3t^2i+5j-6tk)\ m\)

(a) Velocity of a particle is given by :

\(v=\dfrac{dr(t)}{dt}\)

Putting values,

\(v=\dfrac{d}{dt}(3t^2+5-6t)\\\\v=(6ti-6k)\ m/s\)

The acceleration of the particle is given by :

\(a=\dfrac{dv}{dt}\\\\a=\dfrac{d}{dt}(6t-6)\\\\a=6i\ m/s^2\)

(b) At t = 0,

Velocity, v = 6k m/s

Acceleration, a = 6i m/s²

(a) For the density function, the value of B is 2.5 g/cm³   and the value of C is 1.3 g/cm⁴

(b) The total mass of the rod is 1470 g.

The density of the rod is a function of distance and it is given as;

ρ = B + Cx

where;

ρ = 2.5 g/cm³  +  (19.5 g/cm³ ) / ( 15 cm ) x

ρ = 2.5 g/cm³  +  1.3 g/cm⁴  x

The total mass of the rod is calculated by integrating the function;

dm = ( B + Cx)(8 cm² ) dx

m = 8B + 8Cx

m = 8Bx  +  8Cx² / 2

m = ( 8 x 2.5 x 15 )  +  ( 8 x 1.3 x 15² ) / 2

m = 1470 g

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