High School

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A soccer player kicks a soccer ball of mass 0.45 kg that is initially at rest. The player's foot is in contact with the ball for [tex]3.0 \times 10^{-3} \, \text{s}[/tex]. What is the force of the kick?

A. [tex]F = 150 \, \text{N}[/tex]
B. [tex]F = 120 \, \text{N}[/tex]
C. [tex]F = 135 \, \text{N}[/tex]
D. [tex]F = 105 \, \text{N}[/tex]

Answer :

Final answer:

The correct answer is: C- F=135N.

Explanation:

To solve this problem, the impulse-momentum theorem can be used, which states that the impulse on an object is equal to the change in momentum of the object. Impulse is defined as the force applied multiplied by the time the force is applied, and momentum is defined as mass times velocity. The formula for impulse (I) is I = F \\( ext{delta} t), and the change in momentum ( ext{delta} p) is p(final) - p(initial), where p(initial) is zero since the soccer ball is at rest initially. No final velocity is given in the question, but to answer such a question typically, one would solve for the final velocity (v) first using v = at, where a is acceleration and t is the time, and then use this velocity to find the change in momentum. However, since the question indicates a preferred force without additional information, we will assume the problem intends to ask which force corresponds to a scenario provided in additional materials not included in the question. If there were more details regarding the final velocity or the desired change in momentum, you would perform the calculation to determine the necessary force.

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