What was the average force exerted by the ball on the glove?

In summary, average force refers to the overall force exerted by a ball on a glove over a specific period of time, taking into account all individual forces and interactions. It can be calculated by dividing the total force by the duration of the interaction or by integrating the force over time. Knowing the average force is important for understanding potential injury or damage, improving equipment or technique, and understanding the dynamics of the interaction. The average force can affect the ball and glove differently depending on their properties, and can be changed by altering those properties or implementing safety measures.
  • #1
znz786
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I need help with this problem. I have no idea how to start it

A baseball that weighs 140 g and is traveling at 30 m/s moves a fielder's glove 35 cm backward when the ball is caught. What was the average force exerted by the ball on the glove.

Thanks in advance
 
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  • #2
Hint: Consider the work done by the glove.
 
  • #3


To find the average force exerted by the ball on the glove, we can use the formula for average force: F = m(vf-vi)/t. In this case, the mass of the ball is 140 g, the initial velocity is 30 m/s, and the final velocity is 0 m/s (since the ball comes to a stop when it is caught). We also need to convert the distance of 35 cm into meters, which is 0.35 m. We can assume that the time it takes for the ball to be caught is negligible, so we can use t=0. Plugging in these values, we get F = (0.140 kg)(0-30 m/s)/0 = -4.2 N. This means that the average force exerted by the ball on the glove is 4.2 Newtons in the opposite direction of the ball's initial velocity.
 

Related to What was the average force exerted by the ball on the glove?

1. What does "average force" mean in this context?

Average force refers to the overall or mean force exerted by the ball on the glove over a specific period of time. It takes into account all the individual forces acting on the glove, including the initial impact force and any subsequent forces applied during the interaction between the ball and the glove.

2. How is the average force calculated?

Average force can be calculated by dividing the total force exerted by the ball on the glove by the duration of the interaction. It can also be calculated by integrating the force over time, if the force is not constant.

3. Why is it important to know the average force?

Knowing the average force can provide valuable information about the magnitude of the impact and the potential for injury or damage. It can also help in understanding the dynamics of the interaction between the ball and the glove, and can be used to make improvements in equipment design or technique.

4. How does the average force affect the ball and the glove?

The average force can affect the ball and the glove in different ways, depending on their properties and the nature of the interaction. For example, a higher average force may cause the ball to compress or deform, while a lower average force may result in a bounce or rebound. The glove may experience stress or strain depending on the average force and its ability to absorb and distribute the force.

5. Can the average force be changed?

Yes, the average force can be changed by altering the properties of the ball or the glove, such as its mass, stiffness, or material. It can also be influenced by external factors, such as the speed, angle, or spin of the ball, and the skill or technique of the person catching the ball. Additionally, the average force can be reduced by implementing safety measures, such as padding or protective gear.

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