Your friend\'s car has broken down, and you volunteer to push it to the nearest

Question

Your friend's car has broken down, and you volunteer to push it to the nearest repair shop, which is 1.7 km away. You carefully move your car so that the bumpers of the two cars are in contact and then slowly accelerate to a speed of 2.6 m/s over the course of 1 min. (a) If the mass of your friend's car is 1150 kg, what is the normal force between the two bumpers? N (b) If you then maintain a speed of 2.6 m/s, what is the total time (including the time the cars are accelerating) it takes you to reach the repair shop? s A hockey puck slides along a rough, icy surface. It has an initial velocity of 30 m/s and slides to a stop after traveling a distance of 94 m. Find the coefficient of kinetic friction between the puck and the ice.

Explanation / Answer

distance, d=1.7 km

speed, v=2.6 m/sec

time, t=1 min = 60sec

a)

use,

v=u+a*t

2.6=0+a*60

==> a=0.043 m/sec^2

normal force, F=m*a

=1150*0.043

=49.45 N

b)

distance travelled in time t=60 sec,

d=V_avg*t

d=1/2*(u+v)*t

d=1/2*(2.6+0)*60

d=78 m

therefore,

the remaining distnace, x=1700-78

x=1622 m

now,

x=v*t'

1622=2.6*t'

==> t'=623.8 sec

total time, T=60+623.8

T=683.8 sec

or T=11.4 min

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