Mechanics | Relativity Answers

The magnitude of the vertical velocity of a projectile is always

A horse and a dog are running with the same speed. If the weight of the horse is 10 times that of the dog, what is the ratio of their kinetic energy?

The velocity of a particle moving along the x-axis varies in
time according to the expression vx(t) = (40 – 5 t2) m/s, where t is in
seconds.
Find the average acceleration in the time interval t=0 to t=2.0s.
Determine the acceleration at t = 2.0 s.

Explain the circumstances in which the velocity "v" and acceleration "a" of car are :
(i) Parallel (ii) Anti-parallel (iii) Perpendicular to each other (iv) "v" is zero but "a" is not zero
(v) "a" is zero but "v" is not zero.

Explain the difference between elastic and inelastic collisions. Explain how would a bouncing ball behave in each case ? Give plausible reasons for the fact that kinetic energy is not conserved in most cases.

At what point or points in its path does a projectile have its minimum speed , its maximum speed ?

in case of a wave ,prove that v=1/T, where v is the frequency and T is time period of the pendulum.

If a vertically mounted gyroscope were mounted between rider and wheel on a unicycle in such a way so that:

1) the gyroscope and wheel are in vertical alignment;
2) gyroscope revolves at same speed as wheel;
3) gyroscope revolves conversely to wheel;

What effect would this cause to the rider's balance?
(essay)

derive the formula center of mass of a semi circular ring please help i found in many books but the proof is not given but in our the derivation will come for 4 marks

We have heard a lot about the "energy crisis". Would it be more accurate to speak of a "power crisis"?