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3 years ago

I need help PRONTO!! (FOR 50 POINTS!) Answer all of them...

Physics

1 answer:

alexira [117]3 years ago

6 0

1) The ball has kinetic energy and it is 0.045 J

2) The ball has potential energy and it is 0.196 J

3) The volleyball has kinetic energy and it is 945 J

4) The carriage has potential energy and it is $4.12\cdot 10^5 J$

Explanation:

The kinetic energy of an object is the energy possessed by the object due to its motion. Mathematically, it is given by

$KE=\frac{1}{2}mv^2$

where

m is the mass of the object

v is its speed

In this part of the problem, we have a rolling ball: since the ball is in motion, it has <u>kinetic</u> energy. The ball has

m = 10 g = 0.010 kg is its mass

v = 3 m/s is its speed

So, its kinetic energy is

$KE=\frac{1}{2}(0.010)(3)^2=0.045 J$

The gravitational potential energy is the energy possessed by an object due to its height above the ground, and it is given by

$PE=mgh$

where

m is the mass of the object

$g=9.8 m/s^2$ is the acceleration of gravity

h is the height of the object above the ground

In this part of the problem, the ball is located above the ground, so it has <u>potential</u> energy. The data for the ball are

m = 10 g = 0.010 kg is its mass

h = 2 m is its height above the ground

Substituting,

$PE=(0.010)(9.8)(2)=0.196 J$

As in part 1, the volleyball in this part is moving, so it has kinetic energy. It can be calculated as

$KE=\frac{1}{2}mv^2$

where

m is the mass of the ball

v is its speed

Here we have

m = 2100 g = 2.1 kg

v = 30 m/s

Substituting, we find the kinetic energy of the ball:

$KE=\frac{1}{2}(2.1)(30)^2=945 J$

As in part 2, the carriage is located at a certain height above the ground, therefore it has potential energy, given by

$PE=mgh$

where

m is the mass of the carriage

$g=9.8 m/s^2$ is the acceleration of gravity

h is the height of the carriage above the ground

Here we have

m = 2000 kg is the mass

h = 21 m is the height

Substituting,

$PE=(2000)(9.8)(21)=4.12\cdot 10^5 J$

Learn more about kinetic and potential energy:

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