Using second law of motion, derive the relation between force and acceleration. A bullet of 10g strikes a sand-bag at a speed of `10^(3)ms^(-1)` and gets embedded after travelling 5cm.Calculate
the resistive force exerted by the sand on the bullet.

A bullet of mass 40 g hits a mud wall with speed 400 m s^-1 . The bullet stops after penetrating 50 cm inside the wall. Find the average resistive force exerted by the wall on the bullets.

A bullet of mass 0.04 kg moving with a speed of 90 ms^-1 enters a heavy wooden block and is stopped after a distance of 60 cm. What is the average resistive force exerted by the block on the bullet?

A bullet of mass 25 g moving with a speed of 100 m/s pierces a bag full of sand kept adjacent to a wall. The bullet stops in the bag after 0.05 second. Find The force exerted by the sandbag on the bullet.

A bullet of mass 20 g moving with a speed of 500ms^(-1 ) strikes a wooden block of mass 1 kg and gets embedded in it. Find the speed with which block moves along with the bullet.

Derive the unit of force using the second law of motion. A force of 5N produces an acceleration of 8m s^(-2) on a mass m_(1) and an acceleration of 24m s^(-2) on a mass m_(2) . What acceleration would the same force provide if both the masses are tied together?

A bullet of mass 10 kg travelling horizontally with a velocity of 150 ms^(-1) strikes a stationary wooden block and come to rest in 0.03 s. Calculate the distance of penetration of the bullet into the block. Calculate the magnitude of force exerted by the wood in block in the bullet.

A steam engine of mass 3xx 10^4 kg pulls two wagons each of mass 2 xx10^4 kg with an acceleration of 0.2 ms ^(-2) . Neglecting frictional force, calculate the :force exerted by the engine.