A 2.8 kg block is pushed a distance D = 9.8 meters at a constant velocity by a force F = 46 N at an angle A = 30. It takes 8.1 seconds to move the block. Friction can be ignored.
What is the work done on the block by the force?
To find the work done on the block by the force, we can use the formula:
Work = Force × Distance × Cosine(angle)
In this case, the force is given as F = 46 N and the distance is given as D = 9.8 meters. The angle A is given as 30 degrees.
First, we need to convert the angle from degrees to radians. This can be done by using the formula:
radians = degrees × π / 180
So, angle A in radians is:
A = 30 × π / 180 = π / 6 radians
Now we can substitute the values into the formula:
Work = 46 N × 9.8 meters × Cos(π / 6 radians)
Calculating the cosine of π / 6 radians, we find:
Cos(π / 6) = √3 / 2
Substituting this value back into the formula, we get:
Work = 46 N × 9.8 meters × (√3 / 2)
Calculating the numerical value, we find:
Work ≈ 213.06 joules
Therefore, the work done on the block by the force is approximately 213.06 joules.