as part of a training schedule a weightlifter pushes a heavy metal block along the floor. the lifter applies a force of 770N downwards on the block at an angle of 57 degrees to the vertical (33 degrees to the horizontal). the weightlifter pushes the block forwards 4m in 2.2s. calculate the power output of the weightlifter when moving the block 4m forwards.
To calculate the power output of the weightlifter, we need to first calculate the work done by the lifter in moving the block 4m forwards.
The component of the force applied by the weightlifter in the direction of motion can be calculated using trigonometry:
Force component = Force * cos(33 degrees)
Force component = 770N * cos(33 degrees)
Force component = 770N * 0.8391
Force component = 646.29N
The work done by the weightlifter can be calculated using the formula:
Work = Force * Distance
Work = 646.29N * 4m
Work = 2585.16 J
Next, we need to calculate the power output of the weightlifter, which is given by the formula:
Power = Work / Time
Power = 2585.16 J / 2.2s
Power ≈ 1175.07 Watts
Therefore, the power output of the weightlifter when moving the block 4m forwards is approximately 1175.07 Watts.