archerhegarty
Answered

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A ball is attached to a vertical spring of 400 N/m spring constant. The ball moves downwards 0.5 meters. What is the mass of the ball?

a. 80 kg
b. 200 kg
c, 20 kg
d. 800 kg

Sagot :

Eduard22sly

The mass of the ball attached to the spring is 20 Kg (Option C)

Data obtained from the question

  • Spring constant (K) = 400 N/m
  • Extension (e) = 0.5 m
  • Mass (m) =?

How to determine the force

  • Spring constant (K) = 400 N/m
  • Extension (e) = 0.5 m
  • Force (F) =?

F = Ke

F = 400 × 0.5

F = 200 N

How to determine the mass

  • Force (F) = 200 N
  • Acceleration due to gravity (g) = 10 m/s²
  • Mass (m) =?

F = mg

200 = m × 10

Divide both side by 10

m = 200 / 10

m = 20 Kg

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