Final answer:
To calculate the power, multiply the force (6 N) by the distance (7 m) to get the work done (42 J), then divide by the time (4 s) to find that the power required is 10.5 Watts.
Step-by-step explanation:
Calculating Power Required for a Given Task
The question involves calculating the power required to exert a force over a certain distance within a given time. To find power, we use the formula P = W/t, where P is power, W is work done, and t is the time taken. Work done, which is the force times the distance moved in the direction of the force, is calculated as W = F × d. In this problem, a force (F) of 6 N is exerted over a distance (d) of 7 meters, and the time (t) taken is 4 seconds.
The work done can be calculated as follows:
W = F × d = 6 N × 7 m = 42 J (Joules)
To find the power, we divide the work done by the time:
P = W/t = 42 J / 4 s = 10.5 Watts (W)
Therefore, the power required is 10.5 W.