A 15 kg block is pulled 5 m across the frictionless floor with a force of 62 N at a 41 degree angle. Calculate the total work done on the block.
62*5*cos41 joules
The mass doesn't matter. Neither does the amount of friction.
Dhdis
To calculate the total work done on the block, we need to determine the component of the force that acts in the direction of motion and multiply it by the distance the block is pulled.
First, let's find the component of the force that acts in the direction of motion. We can do this by multiplying the magnitude of the force by the cosine of the angle.
Force in the direction of motion = 62 N × cos(41°)
Next, we convert the angle from degrees to radians, as trigonometric functions in most programming languages or calculators operate in radians.
Angle in radians = 41° × π / 180°
Now, let's calculate the work done by multiplying the force component by the distance:
Work done = Force in the direction of motion × Distance
Plug in the values:
Work done = (62 N × cos(41°)) × 5 m
Now, let's evaluate this expression to find the total work done on the block.