A hammer of mass `m_(1)` falls from a height h and drives a pile of mass `m_(2)` into the ground to a distance d. What is the opposition to penetration by the ground ?

A hammer og mass M falls from height h to drive a pile of mass m into the ground. The hammer makes the pile pentrate in the ground to a distance d, opposition force of penetration is given by -

A metal ball of mass 5 kg falls from a height of 490 m. How much time will it take to reach the ground ?

The period of oscillation of a body of mass m_1 suspended from a lightspring is T. When the body of mass m_2 , is tied to the first body and the system is made to oscillate, the period is 2T. Compare the masses m_1 and m_2 .

A liquid drop of mass 1 g falls from a cliff 1 km high. It hits the ground at the bottom of the cliff with a speed of 50 m//s . What is the work done by the unknown resistive force?

The energy required to move a body of mass 10 kg from the ground to 5 m is 490 J. Find the acceleration due to gravity on the body.

An object takes 5 s to reach the ground from a height of 5 m on a planet. What is the value of g on the planet ?

Consider a sytem of two particles having masses m_(1) and m_(2) . If the particle of mass m_(1) is pushed towards the centre of mass of particles through a distance d , by what distance would the particle of mass m_(2) move so as to keep the mass centre of particles at the original position?

Consider a drop of rain water having mass 1 g falling from a height of 1 km . It hits the ground with a speed of 50 m//s Take g constant with a volume 10 m//s^(2) . The work done by the (i) gravitational force and the (ii) resistive force of air is :

An object takes 15 s to reach the ground from a height of 40 m on a planet. What is the value of g on the planet ?