Mechanics | Relativity Answers

In a nuclear collision, a proton A is incident on a stationary neighbouring proton B with a velocity of 3.00 x 10 m/s. After impact, A moves in the direction BC inclined at 600 with a velocity of 1.50 x 102 m/s. B then moves in the direction BD declined at 0. If BC makes an angle 600with the initial direction (AB) of A and BD makes and angle G with it ; i) Calculate the speed of B along BD and the angle 0
ii) Verify whether or not the collision is elastic.

Sand from a stationary hopper falls onto a moving conveyor belt at the rate of 5.00 kg/s. The conveyor belt is supported by frictionless rollers and moves at a constant speed of v = 0.75 m/s under the action of a constant horizontal external force Fext supplied by the motor that drives the belt. Find (a) the sand’s rate of change of momentum in the horizontal direction, (b) the external force Fext (c) the work done by Fext in 1 s, and (e) the kinetic energy acquired by the falling sand each second due to the change in its horizontal motion.

A 5.00-g bullet moving with an initial speed of v1 = 400 m/s is fired into and passes through a 1.00 kg block. The block, initially at rest on a frictionless, horizontal surface, is connected to a spring with a force constant 900 N/m. The block moves 5.00 cm to the right after impact before being brought to rest by the spring. Find (a) the speed at which the bullet emerges from the block assuming that the energy is conserved.

A 3.00 kg steel ball strikes a wall with a speed of 10.0 m/s at an angle of = 60.08 with the surface. It bounces off at the same speed and angle. If the ball is in contact with the wall for 0.200 s, what is the average force exerted by the wall on the ball?

The first stage of the Saturn V space vehicle consumed fuel and oxidizer at the rate of 1.50 x 10^4 kg/s with an exhaust speed of 2.60 x 10^3 m/s. (a) Calculate the thrust produced by this engine. (b) Find the acceleration the vehicle had just as it lifted off the launch pad on the Earth, taking the vehicle’s initial mass as 3.00 x 10^6 kg.

Sand is deposited at a uniform rate of 20 Kg/s and with negligible kinetic energy on to an empty conveyor belt moving horizontally at a constant speed of 10 meters per minute. Find (a) the force required to maintain the constant velocity, (b) the power required to maintain a constant velocity, and (c) the rate of change of kinetic energy of the moving sand

Explain briefly how you would verify the principle of conservation of linear momentum by experiment.

Define linear momentum and state the principle of conservation of linear momentum. Explain briefly how you would attempt to verify this principle by experiment.

An iron block, of mass 10 Kg, rests on a wooden plane inclined at 300 to the horizontal. It is found that the least force parallel to the plane which causes the block to slide up the plane is 10 N. Calculate the coefficient of sliding friction between wood and iron.
e

Investigate the laws of sliding friction between wood and iron?