George pushes a wheelbarrow for a distance of 12 meters at a constant speed for 35 seconds by applying a force of 20 newtons. What is the power applied to push this wheelbarrow?
A. 1.2 watts
B. 3.4 watts
C. 6.9 watts
D. 13 watts
To find the power applied to push the wheelbarrow, we can use the formula:
Power = work done / time
First, let's calculate the work done. Work is equal to the force applied multiplied by the distance moved in the direction of the force:
Work = force * distance
= 20 N * 12 m
= 240 N·m
Next, we can substitute the values into the power formula:
Power = 240 N·m / 35 s
Calculating the division:
Power ≈ 6.857 watts
Rounding to the nearest tenth, the power applied to push this wheelbarrow is approximately 6.9 watts.
Therefore, the correct answer is C. 6.9 watts.
To find the power applied to push the wheelbarrow, we can use the formula:
Power = Force * Velocity
First, we need to find the velocity. We are given the distance traveled and the time taken. The formula to find velocity is:
Velocity = Distance / Time
Substituting the given values:
Velocity = 12 meters / 35 seconds
Now we can calculate the velocity:
Velocity = 0.3429 meters/second
Next, we multiply the force applied by the velocity:
Power = 20 newtons * 0.3429 meters/second
Calculating this multiplication gives us:
Power = 6.858 watts
Therefore, the power applied to push the wheelbarrow is approximately 6.9 watts. So, the correct answer is option C.