Question

How much work is required to move an object from x=4 to x=11 (measured in meters)with a constant force of 7 N acting along the x-axis? If a constant force F displaces an object a distance d in the direction of the force,what is the correct relationship to use to calculate the work done?

A.work = force x distance
B work = force - distance
C. work= force
D. work = distance

Answer 1

The work done to move an object with a constant force of 7 N from x=4 to x=11 meters is 49 Joules, calculated using the equation W = Fd.

Step-by-step explanation:

To calculate the work done on an object when moving it from x=4 to x=11 meters with a constant force of 7 N acting along the x-axis, the correct relationship is to multiply the force by the displacement, in the direction of the force, which is represented by the equation W = Fd. In this case, the force and displacement are along the same axis and the force is constant, so the work done equals to the product of the magnitude of the force and the displacement. The displacement, d, is the final position minus the initial position, so d = 11m - 4m = 7m.

Thus, the work done W is calculated as:

• W = Fd
• W = 7 N * 7 m
• W = 49 Joules

The total work done by the force to move the object from x=4 to x=11 meters is therefore 49 Joules.