What is the momentum if the mass is 1.5 kg and the velocity is 4 m/s?

Answers

Answer 1

Answer:

6

Explanation:

momentum = mass * velocity

momentum = 1.5 * 4

momentum = 6


Related Questions

Help please & actually answer thank youu :)

Help please & actually answer thank youu :)

Answers

Answer:

highest KE and lowest GPE = Dhighest GPE and lowest KE = Asome KE and some PE = B

10. Liquids are poured into a container and separate. They form a green layer on
the bottom, a blue layer in the middle, and a red layer on the top. What's true about
the density of the liquids?
A. The red liquid is the least dense.
B. The green liquid is the least dense.
C. The blue liquid is the least dense.
D. They all have the same density.

Answers

Option A is true: the red liquid is the least dense.

What happens when different liquids are poured into a container?

When different liquids are poured into a container, they will typically separate based on their densities. Liquids with higher densities will sink to the bottom, while liquids with lower densities will float on top.

In the scenario described in the question, we are told that the liquids have separated into three distinct layers: green on the bottom, blue in the middle, and red on top. Based on this layering, we can infer that the red liquid must be the least dense, since it is floating on top of the other two liquids.

Similarly, we can infer that the blue liquid is denser than the red liquid, but less dense than the green liquid, since it is sandwiched between them. And we can infer that the green liquid is the most dense, since it is at the bottom.

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Why is energy required to get an object moving?

Answers

Answer:

idk but here u go

go ez im  not in high school

Explanation:

When you start pushing or pulling a stationary object with a constant force, it starts to move if the force you exert is greater than the net forces resisting the movement, such as friction and gravity. If the object starts to move at some speed, it will acquire kinetic energy. Kinetic energy is the energy an object has because of its motion.

Kinetic energy is the force that moves an object. If we want to accelerate something, we must apply a force.

Energy in Example: What is it?

Energy can take on a variety of shapes. Examples of these include: electric power, sound energy, energy source, nuclear and atomic energy, radiant energy, generate heat, mechanical energy, gravity, and so on. Each form has the ability to shift or transform into the others.

Who established the term "energy"?

The term "energy" was initially employed in the realm of physics by Thomas Young (1773–1829), but it didn't catch on. Thomas Young later utilized interference experiments to demonstrate that light is a wave.

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1. A Ograph A Ograph B Ograph c Which graph represents what happens to the pressure in a tire as air is added to the tire, assuming the temperature is constant? ​

1. A Ograph A Ograph B Ograph c Which graph represents what happens to the pressure in a tire as air

Answers

Answer:

Explanation:

It's graph A because the pressure in the tire is increasing as the amount of air going into it increases. B says the pressure drops exponentially as air goes in, and C says that the pressure stays the same as air goes in. Pressure in a tire increases proportionally to the amount of air in it.

Hi please help on question! . If answer is correct I'll rate you five stars a thanks and maybe even brainliest! You will even get 54 pts!!


Here is a function machine.



Input : multiply by 6. Subtract 80: output



The input is the same as the output. Find the input.


Also can you please show me an easy to work out these type of questions

Answers

Answer:

Explanation:

Sure, I'd be happy to help you with the question!

Let's denote the input as x. According to the function machine, the input is multiplied by 6 and then 80 is subtracted from the result to obtain the output.

So, the function can be written as:

Output = (6 * x) - 80

Now, the problem states that the input is the same as the output. Therefore, we can set up the equation:

x = (6 * x) - 80

Let's solve this equation to find the value of x:

x = 6x - 80

Subtracting 6x from both sides, we get:

x - 6x = -80

Combining like terms, we have:

-5x = -80

Dividing both sides by -5, we find:

x = (-80) / (-5)

Simplifying the expression, we have:

x = 16

Therefore, the input (x) that results in the input being the same as the output is 16.

To work out these types of questions, it's important to carefully read the instructions and understand the operations being performed in the function machine. Then, you can set up an equation with the input and output, and solve for the unknown value. Always double-check your solution to ensure it satisfies the given conditions of the problem.

Answer:

16

Explanation:

(x*6) - 80 = x

Multiply the parentheses

6x - 80 = x
Add 80 to each side to get
6x = x + 80
Subtract x from both sides to get
5x = 80
Divide both sides by 5
x = 16

Two girls are standing on a rollerskates holding a basketball. One girl throws the ball to the other. Explain what happens to the girls with references to newton's third law of motion

Answers

Answer:

Pretty sure that the they both go backwards because of the basketballs motion

Answer:

One girl had thrown a ball to other girl . Since , she must have an exerted a force on ball in order to throw it to other girl, that ball will exert an equal and opposite force on the other girl according to newton's law which states every action have equal and opposite reaction .In result of what other girl felt an force .

What is Newtons law of motion ?

Newtons law of motion states that every action have an equal and opposite reaction. If an object A exert a force on object B must exert a force of equal magnitude and opposite direction back on object A .

In question it is said that ,one girl had thrown a ball to other girl . Since , she must have an exerted a force on ball in order to throw it to other girl, that ball will exert an equal and opposite force (because of newton's law ) on the other girl .In result of what other girl fell an force .

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Question 12 of 20
To produce a magnetic field, what does an electromagnet require?
A. A solenoid with no current flowing through it
B. A current flowing through a coil of wire
C. A core made from a magnetic material
D. A copper core

Answers

Answer:

B a current flowing through a coil of wire :)

Explanation:

Pls help! Fill in the blanks.
Question: What are magnets?
Magnets are capable of generating ___ of ___ and ___. They attract ___ and metals like___and ___.

Answers

Answer:

attracting iron and producing a magnetic field

find the average speed of a car that travels 45km in 2hours 15minutes​

Answers

Answer:

20 km/h

Explanation:

45 km ÷ 2.25 hours (15 mins is 0.25 hours)

= 20

20 km/h

what is the velocity of the object 2.3 seconds after it is released from the top of the empire state building?

Answers

Explanation:

Object is under the effect of the acceleration of gravity

v = 1/2 a t^2       a = 9.81 m/s^2   t = 2.3

v = 25.9 m/s^2 = ~ 26 m/s   ( two significant digits)

a pendulum on planet x, where the value of gg is unknown, oscillates with a period of 2 ss.part apart completewhat is the period of this pendulum if its mass is doubled? note that you do not know the value of mm, ll, or gg, so do not assume any specific values. the required analysis involves thinking about ratios.express your answer with the appropriate units.tt

Answers

The time period of simple pendulum in which g is constant l is length of pendulum is T=2pirootl/g which oscillates with a period of 2 ss.

a- for a simple pendulum force constant or spring factor k is proportional to mass m therefore m cancels out in denominator as well as in numerator.

b-in case of a simple pendulum the restoring force acting on the bob of the pendulum is given as:-

F=-mgsing theta

m=mass of bob

g= acceleration due to gravity

theta=angle of displacement

for small theta sintheta =theta

hence time period T=2pirootL/g.

A simple pendulum is a point mass suspended by a weightless and inextensible string fixed rigidly to support, the supported string and mass is called pendulumn.

T = 2π√(l/g)

l is the length of the pendulum.

g is the acceleration due to gravity.

Examples of simple pendulums are found in clocks, swing sets, and even the natural mechanics of swinging legs all are on the basis of simple pendulum. Tetherballs are examples of spherical pendulums.

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(b) Which statement about beta radiation is true?
Tick one box
It is the fastest moving type of radiation.
It is the type of radiation with a negative charge.
It is the type of radiation with the greatest mass.
It is the type of radiation with the greatest range in air.

Answers

Answer:

is the fastest moving type of radiationhe

As an electromagnetic wave travels, what is the relationship between the
magnetic field and the electric field along its path?
A. They are parallel to each other.
B. The angle between them decreases with an increase in energy
O C. The angle between them increases with an increase in energy.
D. They are at a 90° angle to each other.

Answers

Answer:

Its D

Explanation:

They are at a 90° angle to each other.

Do good on your tests :]

The answer is D) They are at a 90° angle to each other.

What is an electromagnetic wave?

One of the waves which are propagated with the aid of simultaneous periodic versions of electrical and magnetic subject depth and consists of radio waves, infrared, seen mild, ultraviolet, X-rays, and gamma rays.

Radio waves, microwaves, seen light, and x-rays are all examples of electromagnetic waves that range very differently in wavelength. (a) Longer wavelength; (b) shorter wavelength. Electromagnetic waves are produced by means of the motion of electrically charged debris.

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what is the Vector product of A=2.00i+3.00j+1.00k and B= 1.00i -3.00j -2,00k

Answers

The vector product of A=2.00i+3.00j+1.00k and B=1.00i-3.00j-2.00k is C=9.00i+4.00j-9.00k.

To find the vector product (also known as the cross product) of two vectors, A and B, we can use the following formula:

C = A × B

Where C is the resultant vector, A and B are the given vectors, and × denotes the cross product.

Given A = 2.00i + 3.00j + 1.00k and B = 1.00i - 3.00j - 2.00k, we can substitute these values into the formula to find the vector product:

C = (2.00i + 3.00j + 1.00k) × (1.00i - 3.00j - 2.00k)

Now, let's expand the cross product using the properties of vector products:

C = (2.00i × 1.00i) + (2.00i × -3.00j) + (2.00i × -2.00k) +

   (3.00j × 1.00i) + (3.00j × -3.00j) + (3.00j × -2.00k) +

   (1.00k × 1.00i) + (1.00k × -3.00j) + (1.00k × -2.00k)

Now, let's calculate each of these cross products:

C = (2.00 × 1.00) \(i^2\) + (2.00 × -3.00) i × j + (2.00 × -2.00) i × k +

   (3.00 × 1.00) j × i + (3.00 × -3.00) \(j^2\) + (3.00 × -2.00) j × k +

   (1.00 × 1.00) k × i + (1.00 × -3.00) k × j + (1.00 × -2.00) \(k^2\)

Since i × j = k, j × k = i, and k × i = j, we can simplify the expression further:

C = 2.00k - 6.00i + 4.00i - 9.00j + k - 3.00j - 2.00j - 2.00k

Combining like terms, we get:

C = (2.00i + 4.00i) + (-6.00i - 9.00j - 3.00j) + (2.00k + k - 2.00k)

Simplifying further:

C = 6.00i - 12.00j + k

Therefore, the vector product of A and B is C = 6.00i - 12.00j + k, which can be written as C = 9.00i + 4.00j - 9.00k in terms of i, j, and k.

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Final answer:

The vector product of A and B is -3i - 5j - 9k.

Explanation:

The vector product, also known as the cross product, of two vectors A and B is denoted as A x B. It is a vector that is perpendicular to both A and B. To calculate the vector product, you can use the formula A x B = (Ay * Bz - Az * By)i + (Az * Bx - Ax * Bz)j + (Ax * By - Ay * Bx)k.

In this case, we have A = 2.00i + 3.00j + 1.00k and B = 1.00i - 3.00j - 2.00k. Substituting the values into the formula, we get A x B = (3 * -2 - 1 * -3)i + (1 * 1 - 2 * -2)j + (2 * -3 - 3 * 1)k = -3i - 5j - 9k.

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Need help on number 3. Have already had 2 tutors not be able to answer

Need help on number 3. Have already had 2 tutors not be able to answer

Answers

When talking about the stress and strain of a material, the behavior can be very diverse. When the exercise gives us the Modulus, it refers to Young's modulus, which is the slope where the curve strain-stress is linear. On this part of the curve, we have the following equation:

\(\sigma=E\epsilon\)

Where sigma is the tension, E is Young's modulus and epsilon is the change in length. Considering the data from our problem, we need first to calculate the area of the wire. It is:

\(A=\pi r^2\Rightarrow A=\pi0.0035^2=3.848*10^{-5}m^2\)

Now we have all the data we need. Considering the tension sigma is force over area, we can write the first equation as:

\(\frac{80}{3.848*10^{-5}}=7*10^{10}*\epsilon\Rightarrow\epsilon=\frac{80}{3.848*10^{-5}*7*10^{10}}\)\(\epsilon=2.97*10^{-5}\)

This value is adimensional. It represents how much of the original length is changed, so we still need to multiply it by the original length, which gives us:

\(\Delta l=2.97*10^{-5}*7=20.79*10^{-5}m\)

This leaves us with alternative a) 20.788e-5m

How can i find Air velocity??????????????

How can i find Air velocity??????????????

Answers

Answer: By dividing airflow by duct cross section.

Explanation:

In short, air velocity in the ducts is calculated by dividing airflow by duct cross-section. Airflow is expressed as a simple number. Example: Air conditioner has a max. airflow of 600 CFM.

Two masses of 3 kg and 5 kg are connected by a light string that passes over a smooth polley as shown in the Figure.
QL
Determine:
i. the tension in the string,
ii. the acceleration of each mass, and
iii. the distance each mass moves in the first second of motion if they start from rest​

Two masses of 3 kg and 5 kg are connected by a light string that passes over a smooth polley as shown

Answers

i. \(T = 36.8\:\text{N}\)

ii. \(a = 2.45\:\text{m/s}^2\)

iii. \(x = 1.23\:\text{m}\)

Explanation:

Let's write Newton's 2nd law for each object. We will use the sign convention assigned for each as indicated in the figure. Let T be the tension on the string and assume that the string is inextensible so that the two tensions on the strings are equal. Also, let a be the acceleration of the two masses. And \(m_1 = 3\:\text{kg}\) and \(m_2 = 5\:\text{kg}\)

Forces acting on m1:

\(T - m_1g = m_1a\:\:\:\:\:\:\:(1)\)

Forces acting on m2:

\(m_2g - T = m_2a\:\:\:\:\:\:\:(2)\)

Combining Eqn(1) and Eqn(2) together, the tensions will cancel out, giving us

\(m_2g - m_1g = m_2a + m_1a\)

or

\((m_2 - m_1)g = (m2 + m_1)a\)

Solving for a,

\(a = \left(\dfrac{m_2 - m_1}{m_2 + m_1}\right)g\)

\(\:\:\:\:= \left(\dfrac{5\:\text{kg} - 3\:\text{kg}}{5\:\text{kg} + 3\:\text{kg}}\right)(9.8\:\text{m/s}^2)\)

\(\:\:\:\:= 2.45\:\text{m/s}^2\)

We can solve for the tension by using this value of acceleration on either Eqn(1) or Eqn(2). Let's use Eqn(1).

\(T - (3\:\text{kg})(9.8\:\text{m/s}^2) = (3\:\text{kg})(2.45\:\text{m/s}^2)\)

\(T = (3\:\text{kg})(9.8\:\text{m/s}^2) + (3\:\text{kg})(2.45\:\text{m/s}^2)\)

\(\:\:\:\:= 29.4\:\text{m/s}^2 + 7.35\:\text{m/s}^2 = 36.8\:\text{N}\)

Assuming that the two objects start from rest, the distance that they travel after one second is given by

\(x = \frac{1}{2}at^2 = \frac{1}{2}(2.45\:\text{m/s}^2)(1\:\text{s})^2 = 1.23\:\text{m}\)

An Object is thrown straight up into the air with an initial velocity of 15m/s. What is its velocity at the peak of its flight?

Answers

Answer:

0

Explanation:

The initial velocity of an object is 15 m/s when it was thrown straight up into the air.

At maximum height, the velocity of the object is equal to 0. It starts coming  downward after that and falls ground. Height attained by the object is given by :

\(h=\dfrac{v^2}{2g}\)

Hence,  its velocity at the peak of its flight is equal to 0.

What is the mass (in kg) of a Puffin flying 10 m/s with 1000 J of KE?

Answers

Answer:

20 kg

Explanation:

The kinetic energy (KE) of an object is given by:

KE = (1/2) * m * v^2

Where m is the mass of the object, and v is its velocity.

We can rearrange this formula to solve for the mass:

m = 2 * KE / v^2

Plugging in the values given:

m = 2 * 1000 J / (10 m/s)^2

m = 20 kg

Therefore, the mass of the Puffin flying at 10 m/s with 1000 J of KE is 20 kg.

What combination do I need to use for this egg to survive a 5 meter drop?

What combination do I need to use for this egg to survive a 5 meter drop?

Answers

Answer:

lunch box, cotton, toilet paper, and the foam peanuts

Explanation:

bc I did this experiment in 3rd grade =w="

Hope this helped! Have a nice day!

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An owl eats its prey whole or in large pieces. Summarize what is found in an owl pellet and why it is regurgitated

Answers

Teeth, bones, fur, and exoskeletons are found in an owl pellet.

What are owl pellets?

Owls consume their prey whole or in huge chunks, but they are unable to digest hair, teeth, bones, or feathers. Owls, like other birds, have two stomach chambers. All of the edible elements of an owl's diet are liquefied in the first chamber, the glandular stomach or proventriculus.

Teeth, bones, hair, and exoskeletons of prey cannot be broken down by an owl's digestive system. These prey pieces are compacted into an owl pellet. This substance is regurgitated by the owl so that it can exit the owl's stomach.

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Answer:

Sample response: An owl’s digestive system cannot break down parts of the prey such as teeth, bones, fur, and exoskeletons. These parts of the prey are compressed into an owl pellet. The owl regurgitates this material so that it can leave the owl’s stomach.

Explanation:) have a great day hope this helps

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an upward force of 170 N IS APPLIED TO A BOX WEIGHING 50 N DRAW A FREEBODY FORCE DIAGRAM FOR THIS SITUATION

Answers

A free body diagram of the box consists of weight of the box (50N) acting downwards, normal reaction acting upwards and applied force acting in x-direction.

What is free body diagram?

A free-body diagram is a sketch of an object of interest with all the surrounding objects stripped away and all of the forces acting on the body shown.

The forces on the box;

applied force, acting forward, F = 170 Nweight of the box, acting downwards, W = 50 Nnormal reaction of the box acting upwards,  R = W = 50 N

The free body diagram of the forces acting on the box is illustrated as follows;

                                ↑ R

                      F    → Ф

                                ↓ W

Thus, a free body diagram of the box consists of weight of the box (50N) acting downwards, normal reaction acting upwards and applied force acting in x-direction.

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10. A pump lifted 50.0 kilograms of water at a constant velocity a vertical distance of 10.0 meters in 75.0 seconds. Theaverage power consumption of the pump is(a) 6.67 W(b) 16.7 W(c) 32.7W(d) 65.4 W

Answers

Given,

Mass of the water, m=50.0 kg

Height to which water was lifted, Δh=10.0 m

Time taken to pump the water, t=75.0 s

The work done to lift the water is given by the change in the potential energy of the water

i.e.

\(W=mg\Delta h\)

Where g is the acceleration due to gravity.

On substituting known values in the above equation,

\(W=50.0\times9.8\times10.0=4900.0\text{ J}\)

Power is given by

\(P=\frac{W}{t}\)

Substituting the known values,

\(P=\frac{4900.0}{75.0}=65.3\text{ W}\approx65.4\text{ W}\)

Therefore the power consumption of the pump is 65.4 W

What composes about 71% of Earth's outermost layer?
A
oceanic crust
B
asthenosphere
С
lithosphere
D
continental crust

Answers

Answer:

A. oceanic crust

Explanation:

I remember that the ocean is said to cover 71% of the Earth's surface. If you look at a globe, notice that most all the surface is blue like the ocean.

One other note: the surface is the Earth's outermost layer. Think of it this way: surface implies the top of something, something exposed to the outside.

Therefore, the answer is A. Hope this helps you understand the question more! Have a great day, 'kay?

A spring-loaded toy gun is used to shoot a ball of mass M straight up in the air. The ball is not attached to the spring. The ball is pushed down onto the spring so that the spring is compressed a distance S below its unscratched point. After release, the ball reaches a maximum height 35, measured from the unscratched position of the spring (see diagram). a) Find the spring constant of the spring. Height Spring b) Find the equilibrium point of the ball when it is sitting on the spring with no forces other than gravity and the spring acting on it. Clearly indicate the point you are using as the origin of your coordinate system and what direction is positive. | 1fa = 11 c) Now, the ball is glued onto the spring so that it oscillates up and down rather than flying off the spring. The spring is again compressed the same distance 5 below its unscratched point. Write an equation for the position of the ball as a function of time after it is released. Clearly indicate the point you are using as the origin of your coordinate system and what direction is positive.​

Answers

A) To find the spring constant of the spring, we can use the conservation of energy. The spring constant of the spring is 1378.8 N/m.

B) The equilibrium point is at a height of 0 meters.

C)  The frequency of the oscillation is: f = 1/T ≈ 6.25 Hz

y(t) = 0.05 cos (2 π × 6.25 where y is in meters and t is in seconds.

The positive direction is from the equilibrium point.

a) To find the spring constant of the spring, we can use the conservation of energy. At the maximum height, the ball has no kinetic energy, so all the energy stored in the spring has been transferred to potential energy in the ball. The potential energy stored in a spring is given by:

PE = (1/2) k S^2

where k is the spring constant and S is the distance the spring is compressed. The potential energy stored in the spring must be equal to the potential energy of the ball at its maximum height. Using the given values, we can set up the equation:

(1/2) k S^2 = M g H

where M is the mass of the ball, g is the acceleration due to gravity, and H is the maximum height reached by the ball. Solving for k, we get:

k = 2 M g H / S^2

Substituting the given values, we get:

k = 2 × M × 9.81 m/s^2 × 0.35 m / (0.05 m)^2 = 1378.8 N/m

Therefore, the spring constant of the spring is 1378.8 N/m.

b) The equilibrium point of the ball when it is sitting on the spring with no forces other than gravity and the spring acting on it is the unscratched point of the spring. We can choose this point as the origin of our coordinate system, and take the upward direction as positive. Therefore, the equilibrium point is at a height of 0 meters.

c) When the ball is glued onto the spring and oscillates up and down, its motion can be described by a simple harmonic motion equation:

y(t) = A cos (ω t)

where y is the position of the ball, A is the amplitude of the oscillation, ω is the angular frequency, and t is the time. The amplitude of the oscillation is equal to the initial compression of the spring, which is 0.05 meters. The angular frequency is given by:

ω = 2 π f

where f is the frequency of the oscillation. The frequency of the oscillation is related to the period of the oscillation T by:

T = 1/f

The period of the oscillation can be found using the formula for the period of a simple harmonic motion:

T = 2 π √(m/k)

where m is the mass of the ball and k is the spring constant. Substituting the given values, we get:

T = 2 π √(0.1 kg / 1378.8 N/m) ≈ 0.16 s

Therefore, the frequency of the oscillation is:

f = 1/T ≈ 6.25 Hz

Substituting these values in the equation for the position of the ball, we get:

y(t) = 0.05 cos (2 π × 6.25 t)

where y is in meters and t is in seconds. The positive direction is upward from the equilibrium point.

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The acceleration due to gravity at the surface of Planet X is 10 m/s2. What is the acceleration due to gravity at an altitude of 3000 km above the surface of this planet?

Answers

Options:

a) 10 m/s²

b) 8 m/s²

c) 4.4 m/s²

d) More information is needed

Answer:

d) More information is needed

Explanation:

The acceleration due to gravity at an altitude h above the surface of a planet is given by the equation:

\(g = g_o \frac{h^2}{(h + R)^2}\).................(1)

where the altitude above the surface of the planet X, h = 3000 km

Acceleration due to gravity at the surface of the planet, g₀ = 10 m/s²

To be able to get the acceleration due to gravity, g, at an altitude h above the surface of the planet, all parameters must be substituted into equation (1).

Unfortunately, the radius, R, of the planet, X, is not given. This means that there are no sufficient parameters(information) to find the acceleration due to gravity at an altitude h above the surface of the planet.

Centripetal acceleration must involve a change in

Answers

Answer:

Centripetal acceleration must involve a change in a. an object's tangential speed.

Explanation:

Centripetal acceleration must involve a change in direction of motion of the object.

What is centripetal acceleration?

centripetal acceleration is the acceleration of a body traversing a circular path. Because velocity is a vector quantity (that is, it has both a magnitude, the speed, and a direction), when a body travels on a circular path, its direction constantly changes and thus its velocity changes, producing an acceleration. The acceleration is directed radially toward the center of the circle.

In your daily existence, you must have encountered numerous instances of centripetal acceleration. A centripetal acceleration occurs when you drive in a circle, and a centripetal acceleration also occurs when a satellite orbits the earth. Centripetal refers to being in the center.

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Two quantities that have the same dimension but have a different physical concepts.
Please help me

Answers

Answer:

In general, if the dimensions are same, the quantities do represent the same physical content. Like work and energy have the same dimensions and represent inter-convertible quantity. ... These two quantities represent the same quantity - same meaning and content.

Explanation: i hope this helped.

3. A 10-centimeter diameter solid sphere made of a conducting material has 10 micro-Coulombs of charge placed upon it. What is the potential difference between a point on one side of the sphere to a point on the exact opposite side of the sphere

Answers

Answer:

zero

Explanation:

For a solid conducting sphere, charges are present on the surface of the sphere due to a phenomenon known as electrostatic sheilding. This affects the charge present in the body and makes it zero. However, the electrostatic potential appears to be equal to the whole present point that shows on the surface. The surface of a spherical conducting solid sphere is known as an equipotential surface. Thus, the potential difference between the two opposite points on the surface of the sphere will also be zero.

A moving object of mass 0.01 kg experiences a drag force proportional to its speed square. The proportionality constant is C. If the object has an initial speed v = 10 m/s and after time T has energy 1/8 m v^2, then find C.

Answers

The proportionality constant of the moving object experiencing a drag force is 0.01875 Ns²/m².

How to calculate proportionality constant?

The work-energy principle states that the work done on an object is equal to its change in kinetic energy. So, the work done by the drag force can be found as follows:

W = (1/8)mv² - (1/2)mv₀²

where m = mass of the object, v = final speed, and v₀ = initial speed.

The work done by the drag force is also given by the formula:

W = ∫F(x)dx

where F(x) = force function and x = position of the object.

In this case, the force function is F(x) = -Cv², since the drag force is in the opposite direction of motion. So:

W = ∫-Cv²dx

Since the force is proportional to v², rewrite this as:

W = -C∫v²dx

Integrating both sides with respect to x:

W = -(1/3)Cv³

So, equating the two expressions for W:

(1/8)mv² - (1/2)mv₀² = -(1/3)Cv³

Substituting m = 0.01 kg, v₀ = 10 m/s, and solving for C:

C = -(3/8) × (m/v₀³) × (v² - v₀²) = -(3/8) × (0.01/10³) × (1/8 × 10² - 10²) = 0.01875 Ns²/m²

Therefore, the proportionality constant is C = 0.01875 Ns²/m².

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