A block of mass 4 kg irioving horizontally on a frictionless table at speed `2ms^(-1)` compresses a spring through a distance 10 cm before its speed is halved. Find the spring constant of the spring.

A mass of 5.0 kg is pulled along a horizontal plane by a force in a direction making an angle 45° with the horizontal.The body moves with uniform velocity through a distance of 10 metre. Find the work done by the force(Co-efficient of firction=0.3).

A bullet of mass 10 g is fired from a gun with a velocity of 800ms^-1 .After passing through a mud wall 100cm thick its velocity drops to 100ms^-1 .Calculate the average resistance offered by the wall.

A hoop of radius 2 m weighs 100 kg. It rolls along a horizontal floor so.that its centre of mass has a speed of 20 cm/s. How much work has to be done to stop it?

A trolley of mass 200 kg moves with a uniform speed of 36 km/ h on a frictionless track. A child of mass 20 kg runs on the trolley from one end to the other (10 m away) with a speed of 4 m s^-1 relative to the trolley in a direction opposite to the its motion, and jumps out of the trolley. What is the final speed of the trolley? How much has the trolley moved from the time the child begins to run?

A bullet with a speed of 3 x 10^3 cm//s strikes a wooden target and penetrates a distance of 1.5 cm. Find (i) the acceleration (ii) the time.

A bullet of mass 10 g is fired into 2 kg pendulum bob and becomes embedded in it.If the pendulum rises to a vertical distance of 10cm..Find the initial velocity of the bullet.

A bob of mass 0.1 kg hung from the ceiling of a room by a string 2 m long is set into oscillation. The speed of the bob at its mean position is 1 m s^1. What is the trajectory of the bob if the string is cut when the bob is (a) at one of its extreme positions, (b) at its mean position.

An object dropped from a cliff falls with a constant acceleration of 10 m/s2. Find its speed 5 s after it was dropped.

A truck starts from rest and rolls down a hill with a constant acceleration. It travels a distance of 400 m in 20 s. Find its.acceleration. Find the force acting on it if its mass is 7 tonnes (Hint: 1 tonne = 1000 kg.)

Two stars each of one solar mass (= 2xx 10^30 kg) are approaching each other for a head on collision. When they are a distance 109 km, their speeds are negligible. What is the speed with which they collide? The radius of each star is 104 km. Assume the stars to remain undistorted until they collide. (Use the known value of G).