Mechanics | Relativity Answers

The velocity of an object is given by the formula
v=2t^2+4t+2
Use intergration to calculate the distance travelled between t=4s and t=7s

The two ends of a train moving with constant acceleration pass a certain point with velocities u and 3u. The velocity with which the middle point of the train passes the same point is ___________ ?

a man throws one ball vertically upwards and another ball vertically downwards with same speed which one will reach ground with higher speed?

a particle of mass m is initially situated st the point p inside a hemispherical surface of radius r . A horizontal acceleration of magnitude a0 is suddenly produced on the particle in the horizontal direction. if gravitational acceleration is neglected, the time taken by particle to touch the sphere again is:

a parachutist drops freely from an aeroplane for 10 sec before the parachute opens out.then he descends with a net retardation of 25m/s2.if he bails out of the plane at a height of 2495 m and g = 10 m/s2, his velocity on reaching the ground will be..

A spring with a spring constant k= 2 n/m is used to project a mass around a loop of radius r=2m. To what minimum distance Xmin must the spring be compressed for the object to go around the loop without falling off?

(a) Show that a potential difference of 1.02 x 10^6 V would be sufficient to give an electron a speed equal to twice the speed of light if Newtonian mechanics remained valid at high speeds. (b) What speed would an electron actually acquire in falling through a potential difference equal to 1.02 x 10^ V?

A spaceship of mass 2.40 x 10^6 kg is to be accelerated to a speed of 0.700c. (a) What minimum amount of energy does this acceleration require from the spaceship's fuel, assuming perfect efficiency? (b) How much fuel would it take to provide this much energy if all the rest energy of the fuel could be transformed to kinetic energy of the spaceship?

A proton moves with a speed of 0.950c. Calculate (a) it's rest energy, (b) it's total energy, and (c) it's kinetic energy.

An unstable particle at rest breaks up into two fragments of unequal mass. The mass of the lighter fragment is equal to 2.50 x 10^-28 kg and that of the heavier fragment is 1.67 x 10^-27kg. If the lighter fragment has a speed of 0.893c after the breakup, what is the speed of the heavier fragment?