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Gravitational Potential Energy

Total mechani...

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Total mechanical energy E of an object of mass m, at a height h above the ground is given bythe relation22mFind the dimensions of p. (g acceleration due to gravity).

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Q. Total mechanical energy

E

of an object of mass

m

h

above the ground is given by the relation

E = m g h + \frac{p^{2}}{2 m}

Find the dimension of p. (

g =

acceleration due to gravity)

Q. Find the potential energy possessed by an object of mass 6 kg when it is at height of 5 m above the ground. Take acceleration due to gravity

g = 10 m s^{- 2} .

Q. A barbell of mass 5 kg is raised to a height of 3 m above the ground. Calculate the work done by the boy. Take acceleration due to gravity

g = 10 m s^{-} 2.

Q. In a shotput event, an athlete throws the shotput of mass

10 k g

with an initial speed of

1 m s^{1}

45^{\circ}

1.5 m

above ground. Assuming air resistance to be negligible and acceleration due to gravity to be

10 m s^{2}

, the kinetic energy of the shotput when it just reaches the ground will be:

Q. An object of 1 kg is slowly lifted to 100 m above the ground. Calculate the work done by gravity on the object.
Take acceleration due to gravity

= 10 m s^{- 2} .

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