Problem 9.45 An 17000 kg freight car rests against a spring bumper at the end of

Question

Problem 9.45 An 17000 kg freight car rests against a spring bumper at the end of a railroad track. The spring has constant k = 3.2 × 105 N/m. The car is hit by a second car of 9400 kg mass moving at 9.2 m/s and the two couple together. Part A Find the maximum compression of the spring. Express your answer using two significant figures. Submit Give Up Part B Find the speed of the two cars when they rebound together from the spring. Express your answer using two significant figures. m/s u= Submit Give Up

Explanation / Answer

mu1+mu2=(m+M)v

u2=0

v=mu1/(m+M)

v=9400(9.2)/(9400+17000)

v=3.27m/s

PS=KE

1/2kx^2=1/2mv^2

x^2=mv^2/k

x=root(mv^2/k)

x=root(26400)(3.27^2)/3.2*10^5

x=9.1m

B)m2v2/m1+m2

=9400*9.2/17000+9400

=9405m/s

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