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
360 joules
360 joules
720 joules
720 joules
120 joules
120 joules
180 joules
Responses
360 joules
360 joules
720 joules
720 joules
120 joules
120 joules
180 joules
Answers
GPT-4o mini
To calculate the work done, you can use the formula:
\[ \text{Work} = \text{Force} \times \text{Distance} \times \cos(\theta) \]
Where:
- Work is measured in joules
- Force is measured in newtons
- Distance is the distance moved in meters
- \( \theta \) is the angle between the force and the direction of motion
Since the person is lifting the bowling ball vertically upward, the angle \( \theta \) is 0 degrees, which gives us \( \cos(0) = 1 \).
Given:
- Force = 60 newtons
- Distance = 2 meters
Plugging in the values:
\[ \text{Work} = 60 \, \text{N} \times 2 \, \text{m} \times 1 \]
\[ \text{Work} = 120 \, \text{joules} \]
Therefore, the correct answer is:
**120 joules**
\[ \text{Work} = \text{Force} \times \text{Distance} \times \cos(\theta) \]
Where:
- Work is measured in joules
- Force is measured in newtons
- Distance is the distance moved in meters
- \( \theta \) is the angle between the force and the direction of motion
Since the person is lifting the bowling ball vertically upward, the angle \( \theta \) is 0 degrees, which gives us \( \cos(0) = 1 \).
Given:
- Force = 60 newtons
- Distance = 2 meters
Plugging in the values:
\[ \text{Work} = 60 \, \text{N} \times 2 \, \text{m} \times 1 \]
\[ \text{Work} = 120 \, \text{joules} \]
Therefore, the correct answer is:
**120 joules**