Mechanics | Relativity Answers

A body is released from a height equal to the radius R of the earth . The velocity of the body when it strikes the surface of the earth will be

A solid cylinder of mass 2 kg and radius 20cm is rotating about its axis with a frequency of 10 Hz. What is the rotational kinetic energy of the cylinder

Work done in increasing the size of a soap bubble from a radius of 3 cm to 5cm is nearly (Surface tension of soap solution = 0.03 Nm–1) :-
(1) 2 π mJ
(2) 0.4 π mJ
(3) 4π mJ
(4) 0.2 π mJ

The masses and radii of the earth and moon are M1, R1 and M2, R2 respectively. Their centres are at distance d apart. The minimum speed with which a particle of mass m should be projected from a point midway the two centres so as to escape to infinity is :-

If a body have initial velomcity of 10 m/s and it attains a velocity of 20 m/s in 5 seconds then its acceleration is how much m/s square?

IF THE TOTAL ENERGY OF THE PARTICLE IS EXACTLY TWICE OF ITS REST ENERGY THEN ITS SPEED IN TERMS OF THE SPEED OF LIGHT C IS

TWO VESSELS A AND B OF CROSS-SECTION CONTAIN A LIQUID UPTO THE SAME HEIGHT . AS THE TEMPERATURE RISES , THE LIQUID PRESSURE AT THE BOTTOM WILL :
( VESSEL A IS NARROW AT THE TOP AND BROADER AT THE BOTTOM ; VESSEL B IS NARROW AT THE BOTTOM AND BROAD AT THE TOP )

1. INCREASE IN B , DECREASE IN A
2. INCREASE IN A , DECREASE IN B
3. DECREASE IN BOTH A AND B
4. INCREASE IN BOTH A AND B

A monkey in a perch 20 m high in a tree drops a coconut above the head of a zoo keeper as he runs with a speed 1.5 m/s beneath the tree actually intending to hit the toes of the zoo keeper, how early in seconds should the coconut be dropped by the monkey

Which of these is correct about viscosity?
it increases with increase in temperature
it varies with the relative velocity of the surfaces in contact
it is does not vary from one liquid to another
both viscous force and upthrust act upwards.

In an experiment to determine the period of oscillation of a loaded spiral spring, the equation of a simple harmonic oscillator a=−kmx, where the symbols have their usual meaning, was used. Write down the equation for the angular frequency ω in terms of k and m.