Problem A block of mass of 5 kg is attached to a horizontal spring whose stiffness is 312 N/m. Ininally, the spring has a stretch of 6.9 cm and the block has a speed of 3 m/s. Neglect friction a) Which formula can be used to calculate the elastic potential energy stored in a spring? (refer 0 to the formula-sheet and select the number of the correct formula from the list) b) ( Find the initial elastic potential energy stored in the spring U₁ c) Which formula can be used to calculate the kinetic energy of the mass? (refer to the formula-sheet and select the number of the correct formula from the list) d) Find the initial kinetic energy of the mass. K₁ = J Find the total initial mechanical energy of the mass-spring system E₁ f) What is the value of the elastic potential energy when the block is at the equilibrium position (with maximum speed)? UIT J g) Determine the kinetic energy of the block at the equilibrium position

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Chapter13: Vibrations And Waves
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Problem 15P: A horizontal block-spring system with the block on a frictionless surface has total mechanical...
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Problem
A block of mass of 5 kg is attached to a horizontal spring whose stiffness
is 312 N/m. Ininally, the spring has a stretch of 6.9 cm and the block has a speed of 3 m/s. Neglect
friction
a)
Which formula can be used to calculate the elastic potential energy stored in a spring? (refer
0
to the formula-sheet and select the number of the correct formula from the list)
b) (
Find the initial elastic potential energy stored in the spring
U₁-
c)
Which formula can be used to calculate the kinetic energy of the mass? (refer to the
formula-sheet and select the number of the correct formula from the list)
d)
Find the initial kinetic energy of the mass.
K₁ =
J
Find the total initial mechanical energy of the mass-spring system
E₁
f)
What is the value of the elastic potential energy when the block is at the equilibrium
position (with maximum speed)?
Ut
Determine the kinetic energy of the block at the equilibrium position
Ki
Transcribed Image Text:Problem A block of mass of 5 kg is attached to a horizontal spring whose stiffness is 312 N/m. Ininally, the spring has a stretch of 6.9 cm and the block has a speed of 3 m/s. Neglect friction a) Which formula can be used to calculate the elastic potential energy stored in a spring? (refer 0 to the formula-sheet and select the number of the correct formula from the list) b) ( Find the initial elastic potential energy stored in the spring U₁- c) Which formula can be used to calculate the kinetic energy of the mass? (refer to the formula-sheet and select the number of the correct formula from the list) d) Find the initial kinetic energy of the mass. K₁ = J Find the total initial mechanical energy of the mass-spring system E₁ f) What is the value of the elastic potential energy when the block is at the equilibrium position (with maximum speed)? Ut Determine the kinetic energy of the block at the equilibrium position Ki
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