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A body of mass $m = 2 \text{ kg}$ is moving along the $x$-axis with a velocity of $v_i = 4 \text{ m/s}$. A force of $F = -6 \text{ N}$ is applied for $t = 2 \text{ s}$. What is the final velocity $v_f$ of the body?
- A.$-2 \text{ m/s}$
- B.$2 \text{ m/s}$
- C.$8 \text{ m/s}$
- D.$-8 \text{ m/s}$
Show correct answer & step-by-step solution
Correct answer: A — $-2 \text{ m/s}$
Solution
Using the impulse-momentum theorem, the change in momentum is equal to the impulse applied. . Thus, , which gives , resulting in .
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