Answered

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A kid with a mass of 35 kg is standing on roller blades and is holding an 11 kg medicine ball.If he throws the medicine ball horizontally to the right, which statement below is true?a. The kid will move to the left at the same speed that the ball moves to the right.b. The kid will move to the left at a higher speed than the ball moves to the right.C. The kid will move to the left at a lower speed than the ball moves to the right.d. The kid will not move at all.

Sagot :

Using conservation of momentum:

[tex]\begin{gathered} m1v1+m2v2=0 \\ _{\text{ }}Where\colon \\ m1=35\operatorname{kg} \\ m2=11\operatorname{kg} \\ v1=_{\text{ }}speed_{\text{ }}of_{\text{ }}the_{\text{ }}kid \\ v2=_{\text{ }}speed_{\text{ }}of_{\text{ }}the_{\text{ }}ball \\ so\colon \\ v1=-\frac{11}{35}v2 \\ _{\text{ }}where\colon \\ \frac{11}{35}<1 \\ so\colon \\ v2>v1 \end{gathered}[/tex]

We can conclude that the answer is:

C. The kid will move to the left at a lower speed than the ball moves to the right.

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