A cart on a spring has a maximum amplitude of 0. 5 m, a spring constant of 1000 n/m, and a mass of 250 kg. What is the maximum velocity of the cart?.

Respuesta :

The Maximum velocity of the cart on the spring of spring constant 1000 N/m is 1 m/s.

What is velocity?

Velocity is the rate of change of displacement of a body.

To calculate the maximum velocity of the cart, we use the formula below.

Formula:

  • v = √(kA²/m)............. Equation 1

Where:

  • v = Velocity of the cart
  • k = Spring constant
  • m = Mass of the spring
  • A = Maximum amplitude

From the question,

Given:

  • k = 1000 N/m
  • A = 0.5 m
  • m = 250 kg

Substitute these values into equation 1

  • v = √(1000×0.5²/250)
  • v = √1
  • v = 1 m/s

Hence, the maximum velocity of the cart is 1 m/s.

Learn more about velocity here: https://brainly.com/question/24445340

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