A cone of mass m falls from a height h and penetrates into sand. The resistance force R of the sand is given by `R=kx^2`. If the cone penetrates up to a distance `x=d` where `dltlamda`, then find the value of k.

A body of mass 0.03 kg , falling from a height of 20 m, penetrates 1.5 m into the soil. Find the average resistive force of the soil.

A stone of mass 5kg falls from the top of a cliff 50m high and buries 1m deep in sand . Find the average resistance offered by the sand and the time it takes to penetrate .

A body of mass 20 kg falls from a height of 20 m on the earth's surface. If the resistance offered by the surface is 10000 N , how far will the body penetrate? (g = 10 m cdot s^(-2) )

A body of mass 0.02 kg falls from a height of 5 metre into a pile of sand. The body penetrates the sand a distance of 5 cm before stoping. What force has the sand exerted on the body ?

A body of mass 0.02 kg falls from a height of 5 metre into a pile of sand. The body penetrates the sand a distance of 5 cm before stoping. What force has the sand exerted on the body ?

A wooden pile of mass m=3kg is driven into the driven into the ground by suceessive blows from a hammer of mass M=10kg falling from a height h=3 m on the head of the pile. If under the action of a single blow the pile penetrates a distance delta = 5 cm, determine the resistance R to penetration.

An iron nail of mass m is dropped from a height h from level of a sand bed. If it penetrates through a distance x in the sand before coming to rest. Calculate the average force exerted by the sand on the nail. (Take g= 10m//s^(2) )

A body of mass 2 kg falls 60 m from rest and is then brought to rest after penetrating 0.6 m into some sand . Find the average thrust of the sand on it .

A hammer of 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 -

An open knife of mass m is dropped from a height h on a wooden floor. If the blade penetrates up to the depth d into the wood. The average resistance offered by the wood to the knife edge is to the depth d into the wood, the average resistance offered by the wood to the knife edge is .