Betty's ball and Fred's ball have the same size, but Fred's ball is hollow. Wilma's ball and Barney's ball are scaled down versions of Betty's ball and Fred's ball respectively. They all place their bowling balls on the same pitch incline and release them from rest at the same time. (Select G-Greater than, L-Less than, E-Equal to, ).
Please see diagram printed on your homework page.
The order of the objects in the diagram is Betty, Wilma, Fred, Barney.
A) The time it takes for Barney's ball to hit the pins is .... that for Wilma's ball to hit.
B) The time it takes for Fred's ball to hit the pins is .... that for Barney's ball to hit.
C) The time it takes for Fred's ball to hit the pins is .... that for Wilma's ball to hit.
D) The time it takes for Betty's ball to hit the pins is .... that for Wilma's ball to hit.
E) The time it takes for Barney's ball to hit the pins is .... that for Betty's ball to hit.
F) The time it takes for Betty's ball to hit the pins is .... that for Fred's ball to hit.
To determine the answers to the questions, we need to understand the factors that affect the time it takes for an object to travel down an incline:
1. Mass: Objects with greater mass require more force to move, which can affect the acceleration down the incline.
2. Shape: The shape of an object can affect its resistance to motion.
3. Size: The size of an object does not directly affect its motion down the incline unless it is related to its mass or shape.
Let's analyze each statement one by one:
A) The time it takes for Barney's ball to hit the pins is that for Wilma's ball to hit.
Since Barney's ball is a scaled-down version of Fred's hollow ball, we can assume that it has a smaller mass. As the mass decreases, the acceleration down the incline increases, resulting in a shorter time for Barney's ball to hit the pins compared to Wilma's ball. Therefore, the answer is L (Less than).
B) The time it takes for Fred's ball to hit the pins is that for Barney's ball to hit.
Since Fred's hollow ball is larger and has a hollow interior, it has a larger mass compared to Barney's scaled-down version. As the mass increases, the acceleration down the incline decreases, resulting in a longer time for Fred's ball to hit the pins compared to Barney's ball. Therefore, the answer is G (Greater than).
C) The time it takes for Fred's ball to hit the pins is that for Wilma's ball to hit.
Since Wilma's ball is a scaled-down version of Betty's ball, we can assume it has a smaller mass but a similar shape to Fred's hollow ball. As the mass decreases, the acceleration down the incline increases. Additionally, both Fred's and Wilma's balls have similar shapes, so the resistance to motion should be similar. Therefore, the time it takes for Fred's ball to hit the pins is likely to be similar to that for Wilma's ball. The answer is E (Equal to).
D) The time it takes for Betty's ball to hit the pins is that for Wilma's ball to hit.
Since Betty's ball and Wilma's ball are similar in shape but Betty's ball is larger, it may have a larger mass. As the mass increases, the acceleration down the incline decreases, resulting in a longer time for Betty's ball to hit the pins compared to Wilma's ball. Therefore, the answer is G (Greater than).
E) The time it takes for Barney's ball to hit the pins is that for Betty's ball to hit.
Since Barney's ball is a scaled-down version of Fred's hollow ball, it has a smaller mass and similar shape to Betty's ball. As the mass decreases, the acceleration down the incline increases. Therefore, the time it takes for Barney's ball to hit the pins is likely to be shorter than that for Betty's ball. The answer is L (Less than).
F) The time it takes for Betty's ball to hit the pins is that for Fred's ball to hit.
Since Fred's hollow ball is larger and has a hollow interior, it has a larger mass compared to Betty's ball. As the mass increases, the acceleration down the incline decreases, resulting in a longer time for Fred's ball to hit the pins compared to Betty's ball. Therefore, the answer is G (Greater than).
A) The time it takes for Barney's ball to hit the pins is E-Equal to that for Wilma's ball to hit.
B) The time it takes for Fred's ball to hit the pins is G-Greater than that for Barney's ball to hit.
C) The time it takes for Fred's ball to hit the pins is G-Greater than that for Wilma's ball to hit.
D) The time it takes for Betty's ball to hit the pins is E-Equal to that for Wilma's ball to hit.
E) The time it takes for Barney's ball to hit the pins is L-Less than that for Betty's ball to hit.
F) The time it takes for Betty's ball to hit the pins is L-Less than that for Fred's ball to hit.