Physics Test 15...

Determine the force that must be applied to end of the class 1 lever shown below to lift the 500 lb load.

There are two blocks of mass 3 kg and 5 kg hanging from the ends of a rod of negligible mass. The rod is marked in eight equal parts as shown. At which of the points indicated should a string be attached if a rod is to remain horizontal when suspended from the string?

Four particles, each of mass M, move along a circle of radius R under the action of their mutual gravitational attraction. (Take that gravitational force between two point masses m1 and m2 separated by is  The speed of each particle is

At what altitude will the acceleration due to gravity be 25% of that at the earth’s surface (given radius of earth is R)?

A planet of mass M is revolving around sun in an elliptical orbit. If dA is the area swept in a time dt, angular momentum can be expressed as

A straight rod of length L extends from x = a to x = L + a. Find the gravitational force exerted by it on a point mass m at x = 0 if the linear density of rod μ = A+ Bx²

The work done in shifting a particle of mass m from centre of earth to the surface of earth is (0m at both places are fixed)

A particle is projected upward from the surface of earth (radius = R) with a speed equal to the orbital speed of a satellite near the earth’s surface. The height to which it would rise is

Two concentric shells of uniform density of mass M₁ and M₂ are situated as shown in the figure. The forces experienced by a particle of mass m when placed at positions A, B and C respectively are (given OA = p, OB = q and OC = r)

If G is the universal gravitational constant and ρ is the uniform density of spherical planet.

Then shortest possible period of the planet can be