H WOULD BE 10METERS Physics 151: Take Home Quiz Chapter 7 2 m P-20N 2 kg k- 200

Question

H WOULD BE 10METERS

Physics 151: Take Home Quiz Chapter 7 2 m P-20N 2 kg k- 200 N/m 2 m 4 m 0.2 5 m A 2 kg block (initially at rest) is pushed by a constant 20 N force over a distance of 2 meters. Assuming that all surfaces are frictionless (unless otherwise indicated) find (by energy methods) A the KE and speed of the block at Pts. A-E; B. the centripetal force on the block at Pt. C; C. the normal force acting on the block at Pt. C; D. the maximum compression of the 1-9 ad 10), Make sure to completely show your work to receive credt. h is your clicker number in m (if your clicker number is 1-9 add 10). Make sure to completely show your work to receive credit.

Explanation / Answer

given force F = 20 N works on the block for d = 2m

A. KE of block at A = F*d = 40 J

KE of block at B = mgH + 40

m = 2 kg

H = 10 m

KE at B = 2*9.81*10 + 40 = 236.2 J

KE at C = 236.2 - mg(2*2) = 157.72 J

KE at D = 157.72 - k*mg*d'

k = 0.2

d' = 5 m

KE at D = 236.2 - 0.2*2*9.81*5 = 216.58 J

KE at E = 216.58 - mg*4 = 138.1 J

B. KE at C = 157.72 = 0.5mv^2 ( where v is speed)

v = 12.558 m/s

hence centripital force = mv^2/2 = 157.72 N

C. Normal force acting at C = N

mg - mv^2/r + N = 0

N = -2*9.81 + 157.72 = 138.1 N

D. maximum compression of psring = x

0.5*kx^2 = 138.1 = 0.5*200*x^2

x = 1.175 m

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