Mechanics | Relativity Answers

A body moves with velocity v=(5i + 2j - 3k)ms^-1. Under the influence of a constant force F=(4i + 3j - 2k)N. Determine the instantaneous power and the angle between F and V.

The 8kg ball is connected with a spring. Initially, the spring is compressed by 0.2m. Then under the applied force F, the spring is stretched to 0.6m. Determine the total workdone to the ball during this process. The slope is smooth.

The 8-kg ball is connected with a spring as shown. Initially the spring is compressed by 0.2 m. Then under the applied force F, the spring is stretched to 0.6 m. Determine the total work done to the ball during this process. The slope is smooth. 300 Nm (a) 151 J (b) 254 J (c) 99.1 J (d) 306 J F=400 N 150 40°

What is nutation

A 2.0 kg object is moving across a table at constant speed of 2.0 m/s against a force of friction of 6.0 N. The applied force is suddenly increased by 1.0 N. How fast will the object be moving after 3.0 s?

A ball at the end of a string is revolved at a uniform rate in a vertical circle of radius 72.0 cm. If its speed is 4.00m/s and its mass is 0.30 kg calculate the tension in the string when the ball is at the top and bottom. Include equations and solutions

A Stone is thrown horizontally at a speed of 5.0 m/s from the top of a cliff that is 78.4m high. how far from the base of the cliff does the stone hit the ground?

A pion lives 1.50 x 10-16 s as measured in the laboratory, and 0.90 x 10-16 s when at rest
relative to an observer.
i) Determine the speed of the pion.
[2.5]
ii) Calculate the kinetic energy in MeV of the particle, given its rest mass energy is
139.6 MeV?

8.A motorist is travelling at 15 m/s when he sees a child run into the road. He brakes and
the car comes to rest in 0.75 s.
a) Draw a velocity time graph to show the deceleration, and use your graph to
calculate the distance travelled once the brakes are applied.
b) The deceleration of the car.

7. A ball is thrown vertically upward from the ground with an initial speed of 15.0m/s.
a) How long does it take the ball to reach its maximum altitude?
b) What is its maximum altitude?
c) How long did the ball stayed in air.
d) Determine the velocity of the ball at t= 2.00s.