A stone is dropped from the roof of a house towards ground. The kinetic energy of the stone will be maximum
- AOption (a)
Just after it is dropped
- BOption (b)
When it is just on the half way
- COption (c)
Just before it touches the ground
- DOption (d)
When it touches the ground
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Correct answer
Just before it touches the ground
Why this answer is correct
The correct answer is Just before it touches the ground.
Key Points
- When an object reaches the ground it has its maximum value of kinetic energy just before touching the ground.
- Since kinetic energy + potential energy = Constant, so on reaching the ground, the potential energy of an object becomes zero.
- So eventually, the kinetic energy on reaching the ground becomes maximum.
Additional Information
- Kinetic energy is the work needed to accelerate a body of a given mass from rest to its stated velocity.
- K.E. = mv2, where, m= mass of the body, v= velocity of the given group.
- Potential energy is stored energy that depends upon the relative position of various system parts.
- P.E. = mg h, where, m= mass of the body, g= gravitational acceleration, h= height.
- When the stone was at top of the roof it has P.E. = maximum, K.E.= zero. Because the stone was in idle condition so velocity, v=0, K.E.=0.
- Just after the stone is dropped, P.E. is started reducing, and the velocity is increasing, which in turn increases its K.E.
- When the stone is just halfway, K.E. and P.E. just become half of their actual values.
- When the stone touches the ground, its velocity v=0, so K.E. =0, and P.E. again get restored to its original value.
- The law of conservation of energy states that energy can neither be created nor destroyed, it transforms from one form to another.
- So in the course of the stone dropped from the roof of a house to its reaches at the ground, K.E. and P.E. transform between each other.
- But every time, K.E. + P.E. = Total energy = Constant must be maintained.