2.) Pushing on the pump of a soap dispenser compresses a small spring. When the

Question

2.) Pushing on the pump of a soap dispenser compresses a small spring. When the spring is compressed 0.55 cm , its potential energy is 0.0025 J

What is the force constant of the spring? k= ______n/m

What compression is required for the spring potential energy to equal 0.0084 J ? x=_______m

3). Suppose that the coefficient of kinetic friction between Zak's feet and the floor, while wearing socks, is 0.250. Knowing this, Zak decides to get a running start and then slide across the floor. If Zak's speed is 3.00 m/s when he starts to slide, what distance d will he slide before stopping?

______M

Explanation / Answer

2.)Given that thecompressed length is x = 0.55 cm = 0.55*10-2m
Potential energyis U = 0.0025 J

But the potential energy is U = (1/2)kx2
k = 2 U / x2
=165.3 N/m
If the spring potential energy is U1 = 0.0084 J =(1/2)kd2
d = [ 2(0.0084J) / k ]1/2

= 0.0100 m
= 1.00cm(Answer)

3)

In retardaion = ug = 0.25 x 9.8 = 2.45 m/s2

now v2 - u2 = 2ad

0 - 32 = -2 x 2.45 x d

d = 1.8367 m(Answer)

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