To compare the momentum of a ball and a bald (which seems to be a typo, possibly meaning "ball" again), we'll just focus on the ball scenario and introduce the concept clearly.
Momentum Definition
Momentum is defined as the product of an object's mass and its velocity. The formula for momentum (p) is:
\[ p = m \times v \]
Where:
- \( p \) is momentum,
- \( m \) is mass,
- \( v \) is velocity.
Comparing Two Balls
-
First Ball: Mass \( m \) and Speed \( v \)
- Momentum of the first ball: \[ p_1 = m \times v \]
-
Second Ball: Same Mass \( m \) and Speed \( 2v \)
- Momentum of the second ball: \[ p_2 = m \times 2v = 2(m \times v) = 2p_1 \]
Effect of Speed on Momentum
When you throw the second ball at twice the speed of the first ball:
- The momentum of the second ball is double the momentum of the first ball because its speed is doubled, while the mass remains constant.
Summary
- If both balls have the same mass, the momentum directly depends on their speed.
- The ball thrown at twice the speed has twice the momentum compared to the one thrown at the original speed.
Thus, in essence, while the mass of both balls is the same, the momentum differs due to the difference in speed.