Question
A bowling ball has a mass of 6 kilograms. A person lifts the bowling ball 2 meters above the ground, using a force of about 60 newtons. How much work did the person do?(1 point)
Responses
720 joules
720 joules
120 joules
120 joules
180 joules
180 joules
360 joules
Responses
720 joules
720 joules
120 joules
120 joules
180 joules
180 joules
360 joules
Answers
GPT-4o mini
To calculate the work done by the person in lifting the bowling ball, you can use the formula for work:
\[ \text{Work} = \text{force} \times \text{distance} \times \cos(\theta) \]
In this scenario, the force applied is 60 newtons, the distance raised is 2 meters, and the angle (\( \theta \)) between the force and the direction of motion is 0 degrees (as the force is applied vertically). Thus, \( \cos(0) = 1 \).
Now, plugging in the values:
\[ \text{Work} = 60 \, \text{N} \times 2 \, \text{m} \times 1 = 120 \, \text{joules} \]
Therefore, the work done by the person is **120 joules**. The correct response is:
**120 joules**
\[ \text{Work} = \text{force} \times \text{distance} \times \cos(\theta) \]
In this scenario, the force applied is 60 newtons, the distance raised is 2 meters, and the angle (\( \theta \)) between the force and the direction of motion is 0 degrees (as the force is applied vertically). Thus, \( \cos(0) = 1 \).
Now, plugging in the values:
\[ \text{Work} = 60 \, \text{N} \times 2 \, \text{m} \times 1 = 120 \, \text{joules} \]
Therefore, the work done by the person is **120 joules**. The correct response is:
**120 joules**