A ball with a mass of #400 g# is projected vertically by a spring loaded contraption. The spring in the contraption has a spring constant of #64 (kg)/s^2# and was compressed by #3/4 m# when the ball was released. How high will the ball go?

Answer 1

Taking #g=10#[m/s²] we obtain #h = 4.5#[m]

The spring mechanical energy #E_m = 1/2Kx^2# is transformed in potential energy for the ball #E_p = m g h#. Equating both energy forms we get # 1/2Kx^2=m g h# Solving for #h = 1/2Kx^2/(m g)# with #g = 10# we get #h = 4.5#[m]

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Answer 2

Elena Albarran

The ball will reach a height of approximately 0.59 meters.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.