d. What maximum gravitational energy will the mass gain? (using the bottom of its motion as the reference point). e. What maximum speed will the mass reach?

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A spring with k= 735N/m hangs vertically and supports a 7.5kg mass at its end. The mass is
hanging with no motion at all until a person pulls the mass down by 6.5cm from where it was
resting. The mass then begins a vertical simple harmonic motion.
No mass (force) on the spring here
No motion here
Start of the simple
6.5cm
harmonic motion
a. What is the spring force acting on the mass before it is pulled down by 6.5cm?
b. What is the acceleration of the mass after it is pulled down by 6cm (and let go)?
c. What is the total energy of the spring system throughout its simple harmonic motion?
d. What maximum gravitational energy will the mass gain? (using the bottom of its motion
as the reference point).
e. What maximum speed will the mass reach?
Transcribed Image Text:A spring with k= 735N/m hangs vertically and supports a 7.5kg mass at its end. The mass is hanging with no motion at all until a person pulls the mass down by 6.5cm from where it was resting. The mass then begins a vertical simple harmonic motion. No mass (force) on the spring here No motion here Start of the simple 6.5cm harmonic motion a. What is the spring force acting on the mass before it is pulled down by 6.5cm? b. What is the acceleration of the mass after it is pulled down by 6cm (and let go)? c. What is the total energy of the spring system throughout its simple harmonic motion? d. What maximum gravitational energy will the mass gain? (using the bottom of its motion as the reference point). e. What maximum speed will the mass reach?
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