Question

A 4kg cart starts up an incline with a speed of 3m/s and comes to rest 2m up the incline.The total work done on the car is:

Answer 1

Answer:

Explanation:

Solution,

Here, we have

Mass, m = 4 kg

Initial velocity of cart, u = 3 m/s

Final velocity of cart, v = 0 m/s

To Find,

Total work done = ?

According to the work-energy theorem,

We know that

Total work done = - Change in kinetic energy

So, putting all the values, we get

⇒ Total work done = - Change in kinetic energy

⇒ Total work done = - (Final - Initial) kinetic energy

⇒ - (1/2 × 4 × (0)² - 1/2 × 4 × (3)² )

⇒ - 0 - 18 J

⇒ 18 J

Hence, the total work done on the car is 18 J.