Question
A groups of students apply 200 N to push a large desk 15 m, what amount of work will they have accomplished?
A. 13.3 joules
B. 3000 joules
C. 300 joules
D. 0.075 joules
A. 13.3 joules
B. 3000 joules
C. 300 joules
D. 0.075 joules
Answers
GPT-4o mini
To calculate the work done, you can use the formula:
\[ \text{Work} = \text{Force} \times \text{Distance} \times \cos(\theta) \]
In this case, if the force is applied in the same direction as the distance moved (which is typically assumed unless stated otherwise), then \(\cos(\theta) = 1\).
Given:
- Force = 200 N
- Distance = 15 m
Now plug in the values:
\[ \text{Work} = 200 \, \text{N} \times 15 \, \text{m} \times 1 \]
\[ \text{Work} = 3000 \, \text{J} \]
So, the amount of work accomplished is **3000 joules**.
The correct answer is **B. 3000 joules**.
\[ \text{Work} = \text{Force} \times \text{Distance} \times \cos(\theta) \]
In this case, if the force is applied in the same direction as the distance moved (which is typically assumed unless stated otherwise), then \(\cos(\theta) = 1\).
Given:
- Force = 200 N
- Distance = 15 m
Now plug in the values:
\[ \text{Work} = 200 \, \text{N} \times 15 \, \text{m} \times 1 \]
\[ \text{Work} = 3000 \, \text{J} \]
So, the amount of work accomplished is **3000 joules**.
The correct answer is **B. 3000 joules**.