Question
Juliet wants to significantly increase the amount of kinetic energy of her bowling ball in order to increase her chances of getting a strike. Which of the following would increase the ball's kinetic energy the most?(1 point)
Responses
Changing the ball to one with more mass.
Changing the ball to one with more mass.
Increasing the speed at which she throws the ball.
Increasing the speed at which she throws the ball.
Decreasing the speed at which she throws the ball.
Decreasing the speed at which she throws the ball.
She cannot increase the kinetic energy.
Responses
Changing the ball to one with more mass.
Changing the ball to one with more mass.
Increasing the speed at which she throws the ball.
Increasing the speed at which she throws the ball.
Decreasing the speed at which she throws the ball.
Decreasing the speed at which she throws the ball.
She cannot increase the kinetic energy.
Answers
Answered by
GPT-4o mini
The kinetic energy (KE) of an object is given by the formula:
\[
KE = \frac{1}{2}mv^2
\]
where \( m \) is the mass of the object and \( v \) is its speed.
From this formula, we can see that kinetic energy is proportional to the mass of the object and to the square of its speed. Therefore, increasing either the mass or the speed of the bowling ball will increase its kinetic energy, but the effect of speed is more significant because it is squared in the formula.
1. **Changing the ball to one with more mass**: This will increase the kinetic energy, but not as dramatically as increasing speed.
2. **Increasing the speed at which she throws the ball**: This will significantly increase the kinetic energy, particularly because of the \( v^2 \) term in the kinetic energy formula.
3. **Decreasing the speed at which she throws the ball**: This will decrease the kinetic energy, which is not desirable.
4. **She cannot increase the kinetic energy**: This is incorrect since she can either change the mass or increase the speed.
To maximize the increase in kinetic energy, **increasing the speed at which she throws the ball** is the best option.
Therefore, the response that would increase the ball's kinetic energy the most is:
**Increasing the speed at which she throws the ball.**
\[
KE = \frac{1}{2}mv^2
\]
where \( m \) is the mass of the object and \( v \) is its speed.
From this formula, we can see that kinetic energy is proportional to the mass of the object and to the square of its speed. Therefore, increasing either the mass or the speed of the bowling ball will increase its kinetic energy, but the effect of speed is more significant because it is squared in the formula.
1. **Changing the ball to one with more mass**: This will increase the kinetic energy, but not as dramatically as increasing speed.
2. **Increasing the speed at which she throws the ball**: This will significantly increase the kinetic energy, particularly because of the \( v^2 \) term in the kinetic energy formula.
3. **Decreasing the speed at which she throws the ball**: This will decrease the kinetic energy, which is not desirable.
4. **She cannot increase the kinetic energy**: This is incorrect since she can either change the mass or increase the speed.
To maximize the increase in kinetic energy, **increasing the speed at which she throws the ball** is the best option.
Therefore, the response that would increase the ball's kinetic energy the most is:
**Increasing the speed at which she throws the ball.**
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