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Lady_Fox [76]
3 years ago
15

A spring with a spring constant of 120 J/m2 is fixed to a wall, free to oscillate. On the other end, a ball with a mass of 1500

g is attached. The spring-mass is then stretched 50 cm, and released. What is the top speed of the attached ball? 0 A. 4.47 m/s B. 447 m/s C. 0.14 m/s D. 6.32 m/s
Physics
1 answer:
Neporo4naja [7]3 years ago
5 0

Answer:

A. 4.47 m/s

Explanation:

As the ball oscillates, it mechanical energy, aka the total kinetic and elastics energy stays the same. For the ball to be at maximum speed, its elastic energy i 0 and vice versa. When the ball is at rest, its kinetic energy is 0 and its elastic energy is at maximum at 50 cm, or 0.5 m

1500 g = 1.5 kg

E_e = E_k

kx^2/2 = mv^2/2

120*0.5^2/2 = 1.5*v^2/2

15 = 0.75v^2

v^2 = 15 / 0.75 = 20

v = \sqrt{20} = 4.47 m/s

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