Question

a car is pulling a snowmobile which has a mass of 650.0 kg. how much work is done if the snowmobile goes from rest to 75.0 km/hr with an acceleration of 4.5m/s2?

Answer 1

The work done to accelerate the snowmobile is 543361.46 Joules.

Step-by-step explanation:

The work done to accelerate an object can be calculated using the formula:

Work = 0.5 * mass * (final velocity^2 - initial velocity^2)

Given that the initial velocity is 0 m/s, the final velocity is 75.0 km/hr (which needs to be converted to m/s), and the mass of the snowmobile is 650.0 kg, we can substitute the values into the formula to find the work done.

First, we convert the final velocity from km/hr to m/s:

75.0 km/hr * (1000 m/1 km) * (1 hr/3600 s) = 20.83 m/s

Then, we substitute the values into the formula:

Work = 0.5 * 650.0 kg * (20.83 m/s)^2 = 543361.46 J

Therefore, the work done to accelerate the snowmobile is 543361.46 Joules.