A 1.6 k g box moves back and forth on a horizontal frictionless surface between
ID: 2138650 • Letter: A
Question
A 1.6kg box moves back and forth on a horizontal frictionless surface between two different springs, as shown in the accompanying figure. The box is initially pressed against the stronger spring, compressing it 4.1cm , and then is released from rest
By how much will the box compress the weaker spring? (cm)
What is the maximum speed the box will reach? (m/s)
A 1.6kg box moves back and forth on a horizontal frictionless surface between two different springs, as shown in the accompanying figure. The box is initially pressed against the stronger spring, compressing it 4.1cm , and then is released from rest By how much will the box compress the weaker spring? (cm) What is the maximum speed the box will reach? (m/s)Explanation / Answer
Use the principe of conservation of energy.
Initial potential energy = 0.5 x 32 x 4.1^2 = 268.96
Final potential energy = 0.5 x 16 x y^2 = 268.96 => y = 5.798cm
Again use conservation of energy: 268.96 = 0.5 m v^2 => v = 18.335 cm/s
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