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natita [175]
3 years ago
7

A baseball player slides into third base with an initial speed of 8.55 m/s. If the coefficient of kinetic friction between the p

layer and the ground is 0.45, how far does the player slide before coming to rest?
Mathematics
1 answer:
Julli [10]3 years ago
8 0

<span>Vi=8.55m/s

</span><span><span>Ff</span>=<span>Uk</span>mg=0.45m(9.8m/<span>s2</span>)</span>
Calculate the acceleration (which will be negative since it's due to the force of friction): <span>
a=<span>Fm</span></span><span>a=<span><span>(0.45)(9.8m/<span>s2</span>)m</span>m</span></span><span>a=4.41m/<span>s2</span></span>
Time to stop:<span>t=<span><span>8.55m/s</span><span>4.41m/<span>s2</span></span></span>=1.94s</span>
Now see how far they go in 1.94s with an acceleration of -4.41m/s^2:<span>x=<span>V0</span>t+<span>12</span>a<span>t2</span></span><span>x=(8.55m/s)(1.94s)+<span>12</span>(−4.41m/<span>s2</span>)(1.94s<span>)2</span>=8.29m</span>

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