Mechanics | Relativity Answers

A proton undergoes a head on elastic collision with a particle of unknown mass which is initially at rest and rebounds with 16/25 of its initial kinetic energy. Calculate the ratio of the unknown mass with respect to the mass of the proton.

A solid cylinder of mass 3.0 kg and radius 1.0 m is rotating about its axis with a speed of 40 rad s-1. Calculate the torque which must be applied to bring it to rest in 10s. What would be the power required?

An insect of mass 20 g crawls from the centre to the outside edge of a rotating disc of mass 200g and radius 20 cm. The disk was initially rotating at 22.0 rads-1. What will be its final angular velocity? What is the change in the kinetic energy of the system?

An automobile travelling at 80 km hr-1 has tyres of radius 80 cm. On applying brakes, the car is brought to a stop in 30 complete turns of the tyres. What is the magnitude of the angular acceleration of the wheels? How far does the car move while the brakes are applied?

A truck of mass 2000 kg moving on a highway experiences an average frictional force of 800 N. If its speed increases from 25 ms-1 to 35 ms-1 over a distance of 500 m, what is the force generated by the truck.

A bullet of mass 20 g, travelling at a speed of 350 ms-1, strikes a steel plate at an angle of 30º with the plane of the plate. It ricochets off at the same angle, at a speed of 320 ms-1. What is the magnitude of the impulse that the steel plate gives to the projectile? If the collision with the plate takes place over a time ∆t = 10-3 s, what is the average force exerted by the plate on the bullet?

A box of mass 50 kg is placed on an inclined plane. When the angle of the plane is increased to 30º, the box begins to slide downwards. Calculate the coefficient of static friction between the plane and the box. Draw the free body diagram

How the speed of a transverse wave in the string will change if it's tension is made four times.

Would you keep the amplitude of a simple pendulum small or large?Why?

create an expression for the balls initial horizontal velocity component, Vox, in terms of Voy, sin(x) and cos(x)