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# HW16Sol - Jim Guinns PHYS1111 Assignment#16 Solutions These...

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Jim Guinn’s PHYS1111 Assignment #16 Solutions These problems are not to be handed in. They are for you to study for the exam. 1. A horizontal spring exerts a restoring force of 15.0N when it is displaced 5.00cm . What is its spring constant? From the definition of the spring constant we have F = -kx , so k = -F / x = - (-15.0N) / 5.00x10 -2 m = k = 300. N/m . Why is "F" negative, you might ask? Remember that it is a restoring force, so that it is in the opposite direction to the displacement. Therefore, if "x" is positive, "F" must be negative. The sign is really only important when you are thinking about the direction, so you can ignore it if you are just thinking about the magnitudes. 2. A 7.25kg mass is connected to a horizontal spring which oscillates 5.00 times in 2.00sec . The period of the motion is T = (2.00s) / (5.00 oscillations) = 0.400s . a.) What is the spring constant of the spring? We have that ϖ = 2 π / T = 2 π / (0.400s) = 15.7rad/s , and ϖ = (k / m) , so k = m ϖ 2 = 7.25kg * (15.7rad/s) 2 = k = 1790 N/m . b.) What is the maximum velocity of the mass (i.e. what is the fastest that the mass moves during the motion) if its amplitude is 4.00cm ?

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HW16Sol - Jim Guinns PHYS1111 Assignment#16 Solutions These...

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