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A car applies its brakes to stop. If the brakes apply a force of [tex]20000 \, \text{N}[/tex] and the car stops in [tex]25 \, \text{m}[/tex], how much work did the brakes do on the car?

Answer :

To solve this problem, we first note the values given:
- The force applied by the brakes is [tex]$F = 20000 \, \text{N}$[/tex].
- The car stops over a distance of [tex]$d = 25 \, \text{m}$[/tex].

The work [tex]$W$[/tex] done by a force is determined by the formula:

[tex]$$
W = F \cdot d
$$[/tex]

However, since the braking force acts in the opposite direction to the car's motion, the work done is negative. Therefore, we calculate:

[tex]$$
W = - (20000 \, \text{N}) \times (25 \, \text{m}) = -500000 \, \text{J}
$$[/tex]

Thus, the brakes do [tex]$-500000 \, \text{J}$[/tex] of work on the car.

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