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A 63 g particle is moving to the left at 27 m/s. How much net work must be done on the particle to cause it to move to the right at 34 m/s?

A) 313 J to the left
B) 252 J to the left
C) 252 J to the right
D) 313 J to the right

Answer :

Final answer:

A 63 g particle is moving to the left at 27 m/s, the net work must be done on the particle to cause it to move to the right at 34 m/s is C) 252 J to the right

Explanation:

To calculate the net work done on the particle, we need to find the change in its kinetic energy.

Kinetic energy is given by the formula KE = 1/2 * m * v²

where

m is the mass of the particle

v is its velocity.

Initially, the particle is moving to the left with a velocity of 27 m/s, so its initial kinetic energy is KE_initial = 1/2 * 63 g * (27 m/s)².

To cause the particle to move to the right with a velocity of 34 m/s, its final kinetic energy must be KE_final = 1/2 * 63 g * (34 m/s)².

The net work done on the particle is equal to the change in kinetic energy, which can be calculated as:

Net Work = KE_final - KE_initial = 1/2 * 63 g * (34 m/s)² - 1/2 * 63 g * (27 m/s)² = 252 J.

Therefore, the correct answer is C) 252 J to the right.

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Rewritten by : Brahmana