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What is the ball's maximum acceleration?

  • Thread starter lijoeman
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  • #1
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Homework Statement


A 160 g ball attached to a spring with spring constant 2.8 N/m oscillates horizontally on a frictionless table. Its velocity is 20 cm/s when x_0 = 4.5 cm.

a_max = _______ cm/s^2


2. The attempt at a solution

Using F = ma and F = kx
kx = ma
a = kx/m

Substituting the appropriate values

a = (2.8)(4.5)/(.16) = 78.75 cm/s^2

Am I missing something here?
 

Answers and Replies

  • #2

Homework Statement


A 160 g ball attached to a spring with spring constant 2.8 N/m oscillates horizontally on a frictionless table. Its velocity is 20 cm/s when x_0 = 4.5 cm.

a_max = _______ cm/s^2


2. The attempt at a solution

Using F = ma and F = kx
kx = ma
a = kx/m

Substituting the appropriate values

a = (2.8)(4.5)/(.16) = 78.75 cm/s^2

Am I missing something here?
check your units. your spring constant is in N/m, while you're speed is in cm/s
 
  • #3
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Using F = ma and F = kx
kx = ma
a = kx/m
That gives you the acceleration at some particular value of x. It will only be a_max when x = x_max.

How can you find the maximum value of x? Hint: Make use of the speed that was given.
 

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