Circular Motion and Gravitation

Increase since longer strings require greater restraining to prevent slippage at higher altitudes.

Stay the same proportionally, adjusting to match varying lengths and maintaining consistent performance characteristics.

Vary unpredictably depending on environmental factors like air resistance, temperature fluctuations, etc., affecting conditions beyond simple theoretical considerations.

Decrease because larger circle means less sharp turning, thus lower required inward pulling 'centripetal' need generating less tightening effect.

Centripetal acceleration is reduced to one-third of its original value.

Centripetal acceleration increases six-fold due to increased pathway curvature.

Centripetal acceleration triples because radius has tripled.

There's no change to centripetal acceleration as speed hasn't changed.

The centripetal force is balanced by the centrifugal force, keeping it in linear motion.

A twisting force from the user keeps increasing its velocity along a straight path.

Earth's gravity pulls downward, preventing it from moving straight ahead.

The tension force from the string provides the centripetal force keeping it in circular motion.

It quadruples

It doubles

It remains unchanged

It halves

The linear momenta before embedding equals combined linear momenta after embedding.

The block's linear momenta before embedding exceeds combined linear momenta after embedding.

Linear momenta before collision cancels out leading to zero combined linear momentum post-collision.

Bullet's linear momentum remains unchanged, while block acquires additional linear momentum post-collision.

The normal force acts perpendicular to the surface while the centripetal force acts toward the circle's center.

There is no normal force present during horizontal circular motion.

The normal force oscillates rapidly, making comparison difficult.

The normal force is always equal to weight regardless of motion.

The spacecraft rotates opposite direction since angular momentum is conserved.

Gas expulsion increases system's overall angular velocity despite conservation principles.

Spacecraft remains stationary despite gas exclusion due to external torques being negligible.

Gases rotating create net torque causing spacecraft spinning faster opposite direction.

Tension in the string doubles.

Tension in the string quadruples.

Tension in the string reduces by half.

Tension in the string remains unchanged.

perpendicular to one another

in opposite directions

in the same direction

proportional to one another

The moving glider doubles its velocity.

The moving glider reverses direction but maintains its speed.

The moving glider continues with the same velocity.

The moving glider comes to rest.