Circular motion and gravitation

Question 1 of 10

For a car turning on a flat road, the centripetal force is provided by

Question 2 of 10

Doubling the distance between two masses reduces the gravitational force to one quarter.

Question 3 of 10

Explain why a car may skid when going round a bend too fast and how banking the road helps.

Question 4 of 10

A body moves in a circle of radius 5 m at 10 m/s. Find its angular velocity.

Question 5 of 10

The centripetal acceleration of a body moving at 3 m/s in a circle of radius 1 m is ___ m/s².

Question 6 of 10

A 0.5 kg mass moves in a circle of radius 5 m at 2 m/s. Find the centripetal force.

Question 7 of 10

A wheel makes 3 revolutions in 1 s. Find its period.

Question 8 of 10

State Newton's law of universal gravitation. Show that the acceleration due to gravity at the Earth's surface is g = GM/R², and use it to estimate the mass of the Earth (g = 9.8 m/s², R = 6.4 × 10⁶ m, G = 6.67 × 10⁻¹¹ N m² kg⁻²).

Question 9 of 10

Escape velocity from the Earth's surface is about

Question 10 of 10

A stone of mass 0.2 kg is whirled in a horizontal circle of radius 0.5 m at 4 revolutions per second. Calculate (a) its angular velocity, (b) its linear speed, (c) the centripetal acceleration, (d) the tension in the string.