Circular Motion and Gravitation

Angular displacement

Acceleration vector

Force magnitude

Speed

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.

100 N

200 N

80 N

40 N

A point on the edge of the wheel will undergo the greatest angular displacement.

A point between the center of the wheel and the edge of the wheel will undergo the greatest angular displacement.

All points will undergo the same angular displacement.

A point exactly at the center of the wheel will undergo the greatest angular displacement.

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.

Tangent to the circle.

In the opposite direction of motion.

Toward the center of the circle.

Away from the center of the circle.

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.

Opposite direction of movement

Tangential to the path

Away from the center of the circle

Towards the center of the circle