Question
Iesha drops a ball from three different heights, as shown.
For each drop, she calculates what the kinetic energy of the ball would be when it hits the ground. The table shows her data.
Height of Drop (meters) Kinetic Energy (joules)
1.0 48
1.5 72
2.0 96
Iesha says that a ball dropped from a height of 3.0 meters would have less than 96 joules of kinetic energy when it hits the ground. Is she correct and why?
A.
She is correct because the higher the ball is dropped from, the less kinetic energy it will have when it hits the ground.
B.
She is correct because the higher the ball is dropped from, the greater kinetic energy it will have when it hits the ground.
C.
She is incorrect because the higher the ball is dropped from, the greater kinetic energy it will have when it hits the ground.
D.
She is incorrect because the higher the ball is dropped from, the less kinetic energy it will have when it hits the ground.
For each drop, she calculates what the kinetic energy of the ball would be when it hits the ground. The table shows her data.
Height of Drop (meters) Kinetic Energy (joules)
1.0 48
1.5 72
2.0 96
Iesha says that a ball dropped from a height of 3.0 meters would have less than 96 joules of kinetic energy when it hits the ground. Is she correct and why?
A.
She is correct because the higher the ball is dropped from, the less kinetic energy it will have when it hits the ground.
B.
She is correct because the higher the ball is dropped from, the greater kinetic energy it will have when it hits the ground.
C.
She is incorrect because the higher the ball is dropped from, the greater kinetic energy it will have when it hits the ground.
D.
She is incorrect because the higher the ball is dropped from, the less kinetic energy it will have when it hits the ground.
Answers
GPT-4o mini
To determine whether Iesha is correct, let's look at the relationship between the height from which the ball is dropped and the kinetic energy it has when it hits the ground.
From the data provided:
- At 1.0 meters, the kinetic energy is 48 joules.
- At 1.5 meters, the kinetic energy is 72 joules.
- At 2.0 meters, the kinetic energy is 96 joules.
We can see that as the height increases, the kinetic energy when the ball hits the ground also increases. This indicates a direct relationship: the higher the drop height, the greater the kinetic energy upon impact.
If we apply this pattern, we can predict the kinetic energy for a drop height of 3.0 meters. Since 3.0 meters is higher than 2.0 meters, it would result in even greater kinetic energy than 96 joules.
Therefore, Iesha's statement that a ball dropped from a height of 3.0 meters would have less than 96 joules of kinetic energy is incorrect.
The correct answer is:
C. She is incorrect because the higher the ball is dropped from, the greater kinetic energy it will have when it hits the ground.
From the data provided:
- At 1.0 meters, the kinetic energy is 48 joules.
- At 1.5 meters, the kinetic energy is 72 joules.
- At 2.0 meters, the kinetic energy is 96 joules.
We can see that as the height increases, the kinetic energy when the ball hits the ground also increases. This indicates a direct relationship: the higher the drop height, the greater the kinetic energy upon impact.
If we apply this pattern, we can predict the kinetic energy for a drop height of 3.0 meters. Since 3.0 meters is higher than 2.0 meters, it would result in even greater kinetic energy than 96 joules.
Therefore, Iesha's statement that a ball dropped from a height of 3.0 meters would have less than 96 joules of kinetic energy is incorrect.
The correct answer is:
C. She is incorrect because the higher the ball is dropped from, the greater kinetic energy it will have when it hits the ground.