Physics Test - ...

Two blocks of masses m₁ = m and m₂ = 2m are connected by a light string passing over a frictionless pulley. The mass m1 is placed on a smooth inclined plane of inclination $\theta$= 30^o and mass m₂ hangs vertically as shown in the figure.

If the system is released, the blocks move with an acceleration equal to:

Water is falling on the blades of a turbine at the rate of 6000 kg/min. The height of the fall is 100 m. The power given to the turbine is (Take g = 10 m/s²)

A small ball is pushed from a height 'h' along a smooth hemispherical bowl. With what speed should the ball be pushed, so that it just reaches the top of the opposite end of the bowl? (The height of the top of the bowl is R.)

A body of mass m accelerates uniformly from rest to v_1​ in time t_1​ . As a function of t, the instantaneous power delivered to the body is:

A ball P of mass 2 kg undergoes an elastic collision with another ball Q at rest. After the collision, ball P continues to move in its original direction with a speed one-fourth of its original speed. What is the mass of ball Q?

Kepler's second law states that the straight line joining a planet to the sun sweeps out equal areas in equal time. This statement is equivalent to the statement that

Two bodies A and B have masses 'M' and 'm' respectively, where M > m, and they are at a distance 'd' apart. Equal forces are applied to them so that they approach each other. The position where they hit each other is

Two satellites of Earth, S₁ and S₂, are moving in the same orbit. The mass of S₁ is four times the mass of S₂. Which of the following statements is true?

The mass of the moon is \(\frac{1}{12} \mathrm{M}_{\mathrm{e}}\). If the acceleration due to gravity on the moon is \(\frac{\mathrm{g}}{6},\) then its radius is