A ball of mass m = 1.95 kg is released from rest at a height h = 57.0 cm above a light vertical spring of force constant k as in Figure [a] shown below. The ball strikes the top of the spring and compresses it a distance d = 7.80 cm as in Figure [b] shown below. Neglecting any energy losses during the collision, find the following. т m a d T m b i (a) Find the speed of the ball just as it touches the spring. 3.34 m/s (b) Find the force constant of the spring. Your response differs from the correct answer by more than 10%. Double check your calculations. kN/m

University Physics Volume 1
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Chapter7: Work And Kinetic Energy
Section: Chapter Questions
Problem 108CP: Consider a linear spring, as in Figure 7.7(a), with mass M uniformly distributed along its length....
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A ball of mass m = 1.95 kg is released from rest at a height h = 57.0 cm above a light vertical spring of force constant k as in Figure [a] shown below. The ball strikes the top of the spring and compresses it a distance d = 7.80 cm as in Figure [b] shown below. Neglecting any energy losses
during the collision, find the following.
т
m
a
d
T
m
b
i
(a) Find the speed of the ball just as it touches the spring.
3.34
m/s
(b) Find the force constant of the spring.
Your response differs from the correct answer by more than 10%. Double check your calculations. kN/m
Transcribed Image Text:A ball of mass m = 1.95 kg is released from rest at a height h = 57.0 cm above a light vertical spring of force constant k as in Figure [a] shown below. The ball strikes the top of the spring and compresses it a distance d = 7.80 cm as in Figure [b] shown below. Neglecting any energy losses during the collision, find the following. т m a d T m b i (a) Find the speed of the ball just as it touches the spring. 3.34 m/s (b) Find the force constant of the spring. Your response differs from the correct answer by more than 10%. Double check your calculations. kN/m
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