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A body rolling down a hill has:
A. K.E. only
B. P.E. only
C. Neither K.E. nor P.E.
D. Both K.E. and P.E.
Answer
474.6k+ views
Hint: When a body rolls down a hill it has two types of motion. it has a translation motion as well as it has a rotational motion when a body moves it has a kinetic energy so you can observe which type of energy has a rolling body.
Complete step by step answer:
Let’s take an example to understand this question: we take a sphere rolling down from a hill or an inclined plane of height . When it rolls down at that time it has two types of motion one is translation motion.
A body rotating about the centre of mass with an angular velocity as well as the body has a translation motion with a velocity means this body has two velocities it means it also has a kinetic energy.
And as we know when a body situated at height from ground it has a potential energy due to gravitation of earth. This is equal to
So it is clear that when a body rolls down from a hill it has both types of energy kinetic energy as well as potential energy.
When a ball is rolling from the hilltop, the potential energy will decrease and kinetic energy will increase until it reaches the ground.
So, the correct answer is “Option D”.
Note:
Some time student get confused which type of kinetic energy has a rolling body as it is clear when a body roll down is move with a translation velocity as well as an angular velocity so it has two types of kinetic energy one is translational kinetic energy and rotational kinetic energy
Total kinetic energy = translational kinetic energy + rotational kinetic energy
Where Moment of inertia of body
Translational velocity or velocity of centre of mass
Angular velocity of body
Complete step by step answer:
Let’s take an example to understand this question: we take a sphere rolling down from a hill or an inclined plane of height
![seo images](https://www.vedantu.com/question-sets/20bc0443-aaba-42eb-942f-36da0bb1e0d92320249722102656958.png)
A body rotating about the centre of mass with an angular velocity
And as we know when a body situated at
So it is clear that when a body rolls down from a hill it has both types of energy kinetic energy as well as potential energy.
When a ball is rolling from the hilltop, the potential energy will decrease and kinetic energy will increase until it reaches the ground.
So, the correct answer is “Option D”.
Note:
Some time student get confused which type of kinetic energy has a rolling body as it is clear when a body roll down is move with a translation velocity
Total kinetic energy = translational kinetic energy + rotational kinetic energy
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