1. +-10 points FRKestenCP1 6.P.085 My Notes A 20-g object is placed against the

Question

1. +-10 points FRKestenCP1 6.P.085 My Notes A 20-g object is placed against the free end of a spring (k equal to 29 N/m) that is compressed 9.3 cm (figure below). Once released, the object slides 1.25 m across the tabletop and eventually lands 1.60 m from the edge of the table on the floor, as shown. Is there friction between the object and the tabletop? If there is, what is the coefficient of kinetic friction? The sliding distance on the tabletop includes the 9.3-cm compression of the spring and the tabletop is 1.00 m above the floor level 1.25 m 1.00 m 1.60 m eBook

Explanation / Answer

consider the motion during free fall

consider the motionj in Y-direction :

Vo = initial velocity = 0 m/s

a = acceleration = - 9.8

Y = displacement = - 1m

t = time taken

using the equation

Y = Vo t + (0.5) a t2

- 1 = 0 t + (0.5) (-9.8) t2

t = 0.45 sec

consider the motion along the X-direction

X = horizontal displacement = 1.60 m

V = velocity along the horizontal direction = ?

using the equation

V = X/t = 1.60/0.45 = 3.55 m/s

spring potential energy = Ea = (0.5) k x2 = (0.5) (29) (0.093)2 = 0.125 J

kinetic energy = (0.5) m v2 = (0.5) (20 x 10-3) (3.6)2 = 0.1296 J

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