The work done in changing the speed of an object is given by the formula:
Work = (1/2) * mass * (final velocity^2 - initial velocity^2)
Here, the mass of the sport utility vehicle is 1600 kg, the initial velocity is 42 m/s, and the final velocity is 17.0 m/s.
Plugging in the values, we get:
Work = (1/2) * 1600 kg * (17.0 m/s)^2 - (42 m/s)^2)
Work = (1/2) * 1600 kg * (289 m2/s2 - 1764 m2/s2)
Work = (1/2) * 1600 kg * (-1475 m2/s2)
Work = -1,180,000 J
Therefore, the work done in changing the speed of the sport utility vehicle from 42 m/s to 17.0 m/s is -1,180,000 J. The negative sign indicates that work is done against the motion of the vehicle, which means that energy is being removed from the vehicle.Answer:
Explanation:
