Question

A 0.500 kg mass is oscillating on a

spring with k = 330 N/m. The total
energy of its oscillation is 3.24 J. What is the maximum speed of
the mass?

thank you in advance for your help! ​

Answer 1

3.6m/s

Step-by-step explanation:

The following data were obtained from the question:

Mass (m) = 0.5Kg

Spring constant (K) = 330N/m

Energy = 3.24J

Velocity (v) =..?

The velocity of the mass can be obtained as follow:

E = ½mv²

3.24 = ½ × 0.5 × v²

3.24 = 0.25 × v²

Divide both side by 0.25

v² = 3.24/0.25

Take the square root of both side

v = √(3.24/0.25)

v = 3.6m/s

Therefore, the speed of the mass is 3.6m/s