SHM and Universal Gravitation

At what point in SHM is the velocity of the oscillating particle maximum?

• At the equilibrium position

• At the extreme position

• At any random point

• Velocity is always constant

The time period of a simple pendulum is proportional to:

• The length of the pendulum

• The square root of the length of the pendulum

• The mass of the pendulum bob

• The angular displacement

Which condition must be satisfied for a motion to be classified as simple harmonic motion (SHM)?

• The displacement must vary linearly with time.

• The restoring force must be proportional to displacement and act in the opposite direction.

• The system must move with uniform velocity.

• There must be no restoring force acting on the object.

The force of gravity between two objects depends on:

• Their masses and the distance between them

• Only the distance between them

• Only the masses of the objects

• The volume of the objects

Which of the following statements about gravitational force is true?

• It is a contact force.

• It is the strongest fundamental force in nature.

• It is always attractive.

• It acts only between planets and large objects.

Why does the Moon not fall into the Earth due to gravity?

• The gravitational force between the Earth and Moon is negligible.

• The Moon’s tangential velocity keeps it in orbit.

• There is no gravitational force acting on the Moon.

• The Moon is repelled by the Earth.

Why are geostationary satellites placed at specific altitudes above the Earth?

• To match the Earth’s gravitational field strength.

• To match the orbital period of the Earth’s rotation.

• To remain in constant communication with other planets.

• To minimize air resistance in their orbit.

Which of the following best describes why gravitational potential energy is negative?

• It is defined relative to an infinitely distant point where it is taken as zero.

• It is caused by the repulsive nature of gravitational force.

• It decreases as an object moves farther from the source of the gravitational field.

• It is a convention to simplify calculations.

What is the first cosmic velocity?

• The velocity required to escape Earth's gravitational pull.

• The velocity required to maintain a circular orbit around the Earth.

• The velocity required to leave the solar system.

• The velocity required to move within the Earth's atmosphere.

A spacecraft traveling at second cosmic velocity will:

• Orbit the Earth in a circular path.

• Orbit the Earth in an elliptical path.

• Escape the Earth’s gravitational pull completely.

• Fall back to the Earth after a long time.