How much momentum will a dumb-bell of mass 10 kg transfer to the floor if it falls from a height of 80 cm? Take its downward acceleration to be `10 ms^-2`.

A disc of mass 5 kg radius 0.5 m rolls on the ground at the rate of 10 ms^(-1) . Calculate its KE.

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 man of mass 70 kg stands on a weighing scale in a lift which is moving (a) upwards with a uniform speed of 10 m s^1 (b) downwards with a uniform acceleration of 5 m s^2, upwards with a uniform acceleration of 5 m s-^1z. What would be the readings on the scale in each case? What would be the reading if the lift mechanism failed and it hurtled down freely under gravity?

Give the magnitude and direction of the net force acting on a stone of mass 0.1 kg, (a) just after it is dropped from the window of a stationary train,(b) just after it is dropped from the window of a train running at a constant velocity of 36 km/h,just after it is dropped from the window of a train accelerating with 1 ms^2,just after it is dropped from the window of a train accelerating with 1M/S2

A stone is thrown in a vertically upward direction with a velocity of 5 m s^1 . If the acceleration of the stone during its motion is 10m s^-2 in the downward direction, what will be the height attained by the stone and how much time will it take to reach there?

Calculate the gain in kinetic engery of a body of mass 10 kg after falling from rest for 2 seconds.

Let us assume that our galaxy consists of 2.5 xx 10^11 stars each of one solar mass. How long will a star at a distance of 50,000 ly from the galactic centre take to complete one revolution? Take the diameter of the Milky Way to be 10^5 ly.

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 flooring tile has the shape of a parallelogram whose base is 24 cm and the corresponding height is 10 cm. How many such tiles are required to cover a floor of area 1080 m^2 ? (If required you can split the tiles in whatever way you want to fill up the corners).

A body of mass 10 kg is rotating on a circular path of radius 1 m with time period 3.14S. Calculate its angular momentum and rotational kinetic energy.