A 1210-kg vehicle is moving along a horizontal surface with a speed of 28.3 m/s. What work (in J) must be done by the brakes to bring this car to rest in 4.58 seconds

Question

Physics

Elian Espinoza

19 June, 19:50

A 1210-kg vehicle is moving along a horizontal surface with a speed of 28.3 m/s. What work (in J) must be done by the brakes to bring this car to rest in 4.58 seconds

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Damian Russell · Answer 1

4.85*10^5 Joules

Explanation:

The work done in bringing the car to rest would be equivalent to the kinetic energy of the vehicle while it is in motion.

The kinetic energy of the vehicle is 1/2mv^2; where m is the mass and v is the velocity.

Work done=1/2*1210*28.3^2

Another approach would be to calculate the force applied and the braking distance of the vehicle and then applying the formula of work done. However, it would've been an unnecessary hassle.