The brakes of a truck cause it to slow down by applying a retarding force of 8740 N to the truck over a distance of 1130 m. What is the work done by this force on the truck?
W=(F,s)=F•s•cosα =
=8740•1130•cos180º=
=8740•1130•(-1)=
= -9876200 J
Well, if we want to calculate the work done by the force, we use the formula:
Work = Force × Distance
So, in this case, the force applied by the brakes is 8740 N, and the distance over which the brakes apply this force is 1130 m. Therefore, the work done by the force is:
Work = 8740 N × 1130 m
Calculating that gives us:
Work = 9,877,220 N·m
So, the work done by the brakes on the truck is approximately 9,877,220 Newton-meters. That's quite a lot of work! But hey, at least the truck is slowing down – better late than never, right?
To find the work done by the retarding force on the truck, we can use the formula:
Work = Force × Distance
Given:
Force (F) = 8740 N
Distance (d) = 1130 m
Substituting the given values into the formula, we get:
Work = 8740 N × 1130 m
Calculating this expression gives us:
Work = 9,884,200 N⋅m
Therefore, the work done by the retarding force on the truck is 9,884,200 Newton-meters (N⋅m).
To find the work done, we need to use the formula:
Work = Force × Distance
In this case, the force is the retarding force applied by the brakes, which is 8740 N, and the distance is 1130 m. Now we can plug in these values into the formula to calculate the work done:
Work = 8740 N × 1130 m
To solve this, we simply multiply the force and distance:
Work = 9,874,200 N·m
Therefore, the work done by the retarding force on the truck is 9,874,200 N·m.