Gravitational Field

If the weight of an object on the Earth's surface is 2.5 x 10\(^3\)N, what is its weight on the moon's surface if the gravitational force of the moon is one-sixth of the Earth's(g = 10m/s\(^{-2}\))

The gravitational force between two masses, P and Q, is 10N, find the new value of the force if both masses are doubled

What is the escape velocity of a body on the surface of the Earth of radius R if the gravitational constant is G and the mass of the Earth is M? (Neglect energy losses to the surroundings)

1a. Explain what is meant by the acceleration of free fall due to gravity, g. b. State two reasons why g varies on the surface of the Earth. c. A stone is projected upwards at an angle of 30° to the horizontal from the top of a tower of height 100 m and it hits the ground at a point Q. If the initial velocity of projection is 100 ms\(^{-1}\), calculate the: i. maximum height of the stone above the ground (neglect air resistance and take g as 10 ms\(^{-2}\)) ii. time it takes to reach this height iii. time of flight. iv. horizontal distance from the foot of the tower to the point Q (neglect air resistance and take g as 10 ms\(^{-2}\))

(a) Derive the dimension of surface tension. (b) Name the instrument used to measure the force of gravity at a place