Question

a 2.00 kg object is moving east at 4.00 m/s when it collides with a 6 kg object that is initially at rest. after the collision the larger object moves east at 1 m/s. what is the final velocity of the smaller object after the collision

Answer 1

The final velocity of the smaller object is 1 m/s.

To calculate the final velocity of the smaller object, we use the formula below.

Formula:

• mu+m'u' = mv+m'v'............. Equation 1

Where:

• m = mass of the bigger object
• m' = mass of the smaller object
• u = initial velocity of the bigger object
• u' = initial velocity of the smaller object
• v = final velocity of the bigger object
• v' = final velocity of the smaller object.

From the question,

• m = 6 kg
• m' = 2 kg
• u = 0 m/s (at rest)
• u' = 4 m/s
• v = 1 m/s

Substitute these values into equation 1

• 6(0)+2(4) = 6(1)+2(v')
• 8 = 6+2v'
• 2v' = 8-6
• 2v' = 2
• v' = 1 m/s

Hence, The final velocity of the smaller object is 1 m/s.

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