Question

6. A force does 110 J of work on a 4. 0 kg cart. If the cart's final velocity was 8. 0

m/s what must its initial velocity have been?

Answer 1

The initial velocity of the cart is 3 m/s.

What is velocity?

Velocity is the rate of change of displacement. The S.I unit of velocity is m/s.

To calculate the final velocity of the cart, we use the formula below

Formula:

• W = m(v²-u²)/2................ Equation 1

Where:

• W  = Work done on the cart
• m = mass of the cart
• v = Final velocity of the cart
• u = Initial velocity of the cart

From the question,

Given:

• W = 110 J
• m  4 kg
• v = 8 m/s

Substitute these values into equation 1

• 110 = 4(8²-u²)/2
• 2(64-u²) = 110
• 64-u² = 55
• u² = 64-55
• u² = 9
• u = √9

• u = 3 m/s

Hence, the initial velocity of the cart is 3 m/s.
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