Question

A pile driver lifts a 300 kg weight and then lets it fall onto the end of a steel pipe that needs to be driven into the ground. A fall of 1.5 m before striking the pipe drives the pipe in 35 cm.

A) True
B) False

Answer 1

The student's claim that the force required to push the box up the ramp is equal to the weight of the box is false.

Step-by-step explanation:

The question is False. The student is mistaken in assuming that the force required to push the box up the ramp is equal to the weight of the box. The force required to push the box up the ramp is determined by the component of the weight of the box that acts parallel to the ramp. This force can be calculated using the formula:

Force = Weight * sin(θ) where θ is the angle between the ramp and the horizontal ground.

In this case, the ramp is 1.0 m high and 3.0 m long. The angle of the ramp can be calculated using the formula:

θ = arctan(height/length) = arctan(1.0/3.0) ≈ 18.43°

Using this angle, the force required to push the box up the ramp can be calculated:

Force = 300 N * sin(18.43°) ≈ 89.26 N

Therefore, the student's claim is false.