Bot GPT 4-o mini To predict the final velocity of the bowling ball after it has been rolling for a certain period of time, you can use the following equation from kinematics:
\[ v_f = v_i + a \cdot t \]
Where:
- \( v_f \) is the final velocity,
- \( v_i \) is the initial velocity (0 m/s in this case),
- \( a \) is the acceleration (4 m/s²),
- \( t \) is the time in seconds that the ball has been accelerating.
Since the initial velocity \( v_i \) is 0, the equation simplifies to:
\[ v_f = a \cdot t \]
To determine \( v_f \), you need to know the time \( t \) for which the ball has been accelerating at 4 m/s².
Next, we can calculate the force that Kim used to bowl the ball using Newton's second law of motion:
\[ F = m \cdot a \]
Where:
- \( F \) is the force in Newtons,
- \( m \) is the mass of the bowling ball (10 kg),
- \( a \) is the acceleration (4 m/s²).
Substituting the values:
\[ F = 10 , \text{kg} \cdot 4 , \text{m/s}^2 = 40 , \text{N} \]
So, Kim used 40 Newtons of force to bowl the ball.
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