An object of mass 10 kg traveling at 50 ms enters a region o

An object of mass 1.0 kg traveling at 5.0 m/s enters a region of ice where the coefficient of friction is 0.10. Use the work-energy theorem to determine the distance the object travels before coming to a halt.

Solution

2)

Initital Kinetic energy,

KE = 0.5*mu^2

u = 5 m/s

Now, Using Work energy theorem,

all this initial KE is converted to work by friction

Now, work by friction,

W = umgd

d = distance the object travels before coming to rest

u = 0.1

So, by work energy theorem:

0.5*mu^2 = umgd

So, 0.5*u^2 = ugd

So, 0.5*5^2 = 0.1*9.8*d

So, d = 12.8 m <------answer