As shown in the figure below, a box of mass m = 18.4 kg is released from rest (at position A) at the top of a 30.0° frictionless incline. point of release The box slides a distance d = 4.40 m down the indline before it encounters (at position B) a spring and compresses it an amount xc = 0.300 m (to point C) before coming momentarily to rest. Using energy content, determine the following. (a) the speed (in m/s) of the box at position B Ve - 6.57 m/s (b) the spring constant (in N/m) k = 8815.6 How does the total energy of the box at point A compare to the total energy of the box at point B and then at point C? What posit did you choose for zero elastic potential energy of the spring? Can you write an expression for the gravitational potential energy o the box at any position on the incline and the spring potential energy for any compression of the spring? N/m

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As shown in the figure below, a box of mass m = 18.4 kg is released from rest (at position A) at the top of a 30.0° frictionless incline.
point of release
B
The box slides a distance d = 4.40 m down the incline before it encounters (at position B) a spring and compresses
an amount
x = 0.300 m (to point C) before coming momentarily to rest. Using energy content, determine the following.
(a) the speed (in m/s) of the box at position B
V8 = (6.57
m/s
(b) the spring constant (in N/m)
k = 8815.6
How does the total energy of the box at point A compare to the total energy of the box at point B and then at point C? What position
did you choose for zero elastic potential energy of the spring? Can you write an expression for the gravitational potential energy of
the box at any position on the incline and the spring potential energy for any compression of the spring? N/m
Transcribed Image Text:As shown in the figure below, a box of mass m = 18.4 kg is released from rest (at position A) at the top of a 30.0° frictionless incline. point of release B The box slides a distance d = 4.40 m down the incline before it encounters (at position B) a spring and compresses an amount x = 0.300 m (to point C) before coming momentarily to rest. Using energy content, determine the following. (a) the speed (in m/s) of the box at position B V8 = (6.57 m/s (b) the spring constant (in N/m) k = 8815.6 How does the total energy of the box at point A compare to the total energy of the box at point B and then at point C? What position did you choose for zero elastic potential energy of the spring? Can you write an expression for the gravitational potential energy of the box at any position on the incline and the spring potential energy for any compression of the spring? N/m
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