What is the distance the object will slide
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What is the distance the object will slide

[From: ] [author: ] [Date: 11-10-23] [Hit: ]
Thank you!-work out acceleration which will be negative (since its slowing down) and the time it takes to reach 0 m/s.F = ma where F = 350N, m = 90 so a = -3.v = u + at so we are trying to find t when v = 0. Since u = 20m/s and a = -3.......
"The kinetic friction between a 90 kg object and a horizontal surface is 350 N. If the initial speed of the object is 20 m/s, what is the distance the object will slide before coming to a stop?"

The answer is 51.4 m, but could someone please provide an explanation as to why that is? Thank you!

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work out acceleration which will be negative (since it's slowing down) and the time it takes to reach 0 m/s.

F = ma where F = 350N, m = 90 so a = -3.89m/s/s

v = u + at so we are trying to find t when v = 0. Since u = 20m/s and a = -3.89,
t = 5.14 seconds

s = ut + .5at^2 so we know that u = 20m/s, a = -3.89m/s/s and t = 5.14s
therefore,

s = 20*5.14 + .5*-3.89*5.14^2

This gives s = 51.4m before it stops

Hope this helps ^_^
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