Looks like you are asking about part (b) without having shown us part (a). Maybe d is given in part (a).annamal said:
It's a mistake in the book. The distance the block slides down the incline is 50 cm.annamal said:
I figured out part a.kuruman said:
I see that. I am submitting an errata to openstax.vela said:
The work done by cord on the pulley is the amount of energy transferred from the cord to the pulley as a result of applying a force to the cord. This work is measured in joules (J).
The work done by cord on the pulley can be calculated by multiplying the force applied to the cord by the distance the cord moves in the direction of the force. This is expressed by the equation W = Fd, where W is work, F is force, and d is distance.
The work done by cord on the pulley is affected by the magnitude of the force applied to the cord, the distance the cord moves, and the angle between the force and the direction of motion. Other factors such as friction and the weight of the pulley may also impact the work done.
No, the work done by cord on the pulley can be either positive or negative depending on the direction of the force and the direction of motion. If the force and the direction of motion are in the same direction, the work is positive. If they are in opposite directions, the work is negative.
The work done by cord on the pulley is equal to the change in potential energy of the system. This means that if the cord is lifting an object, the work done by the cord on the pulley will result in an increase in potential energy of the object. Conversely, if the cord is lowering an object, the work done by the cord on the pulley will result in a decrease in potential energy of the object.