Steven is trying out for the position of pitcher on the baseball team. He can throw the baseball fast! The coach has clocked some of his pitches at 85 mph. Some of Steven's friends decided to play a joke on him and replaced one of the baseballs with one that they tampered with. Instead of a mass of 145 grams, the boys added a lead weight so the mass is now 200 grams. Steven winds up and throws.%0D%0A%0D%0AAll of the statements describe the possible results of this scenario except one. Which statement is an inaccurate explanation?%0D%0A%0D%0A(1 point)%0D%0AResponses%0D%0A%0D%0ASince force equals mass times acceleration, Steven’s throwing force must increase to throw the ball 85 mph.%0D%0ASince force equals mass times acceleration, Steven’s throwing force must increase to throw the ball 85 mph.%0D%0A%0D%0AIf Steven’s throwing force is constant and the ball’s mass increases, the rate of acceleration will be less.%0D%0AIf Steven’s throwing force is constant and the ball’s mass increases, the rate of acceleration will be less.%0D%0A%0D%0ASteven must throw the new ball with more force in order for it to achieve the same speed as previous throws.%0D%0ASteven must throw the new ball with more force in order for it to achieve the same speed as previous throws.%0D%0A%0D%0AThe difference in the mass is not significant and will not affect the force needed to throw the ball 85 mph.

3 answers

The inaccurate statement among the responses is:

"The difference in the mass is not significant and will not affect the force needed to throw the ball 85 mph."

This statement is incorrect because the increase in mass from 145 grams to 200 grams is substantial enough to affect the force required to throw the ball at the same speed (85 mph). According to Newton's second law of motion (F=ma), an increase in mass would require a greater force to achieve the same acceleration or speed. Therefore, the difference in mass is indeed significant and will impact the force needed.

u sure

Yes, I am sure. The statement "The difference in the mass is not significant and will not affect the force needed to throw the ball 85 mph" is inaccurate for the reasons outlined:

  1. Increased Mass: The mass of the baseball increased from 145 grams to 200 grams, which is about a 38% increase. This is a significant change in mass.

  2. Newton's Second Law: According to Newton’s second law of motion, \( F = ma \) (force equals mass times acceleration), if the mass increases while trying to maintain the same speed (85 mph), the force that Steven needs to exert must also increase.

  3. Implications for Performance: If Steven's throwing force remains constant, then with the increased mass of the ball, he would not be able to throw it at the same velocity (85 mph) as he could with the lighter ball.

Thus, to achieve the same speed with a heavier ball, he would indeed need to exert more force. Hence, the statement that the difference in mass is not significant is incorrect.