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A pile of mass 50kg is being driven into the ground by a hammer of mass 400kg. If the hammer is dropped through a height of 3.5m, there is no obersaable rebound, and the average resistive force of the ground on the pile is 50kN, calculate the distance the pile sinks into the ground

A body of 4kg mass travelling at 8m/s² collides with a stationary body of mass 12kg, both being constrainted in their motion by the same frictionless guides. Find their velocities and loss of kinetic energy, if coefficient of restitution is 1 and (b) if it is 0.5

A cyclist of mass 2kg is riding his 13kg bicycle up a 1 in 10 incline. What power does he need to develop in order to maintain a constant speed of 24kph

A locomotive of 60 tone mass pulls some carriages of total mass 240 tones a distance of half a kilometer up a 1 in 200 incline with an acceleration of 0.2m/s. The overall rolling resistance is 5% of normal reaction. What is the total work done

Find Pluto's

a) minimum distance from the sun

b) maximum distance from the sun

Note:

G= 6.67x10-11 Nm2/kg2

Conversion:




a projectile is fired from a point at125m/s so as to strike a point a horizontal distance of 100m and 200m higher than the point of firing neglecting air resistance, calculate (a) the angle with the horizontal, at which the projectile should be fired in order to strike the point in minimum time (b) the time taken by the projectile to strike the point


an arrow leaves a bow at 25m/s (a) what is the maximum range? (b) at what two angles above the the horizontal can it be sent to reach target 50m away?


A car starts to move at rest. It travels first 3km with a constant accelaration. Then it travels a distance of 7km with the obtained constant velocity. Then it decelerates for 2.5km and comes to rest. The total time taken for the journey is 15 minutes. The car travels along a straight road. Find the accelaration.

From two points each on the opposite sides of a river . The angles of elevation of the top of an 80 feet tree are 60° and 30°. The points and the tree are in the same straight line , which is perpendicular to the river. How wide is the river ?

A man 5 feet tall casts a shadow of 5 feet on the ground. Find the angle of elevation of the sun ?

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