Three identical 4.20kg masses are hung by three identical springs, as shown in t

Question

Three identical 4.20kg masses are hung by three identical springs, as shown in the figure. Each spring has a force constant of 8.30kN/m and was 15.0cm long before any masses were attached to it. How long is each spring when hanging as shown?

Part A

bottom spring: = M

Part B

middle spring: = M

Part C

top spring: = M

Three identical 420kg masses are hung by three identical springs. as shown in the figure. Each spring has a force constant of 8.30 kN/m and was 15.0cm long before any masses were attached to it. How long is each spring when hanging as shown? (Hint: First isolate only the bottom mass, Then treat the bottom two masses as a system. Finally, treat all three masses as a system) (Figure_1) l1 = m l2 = m l3 = m

Explanation / Answer

4.20kg * 9.81 N/kg (accel due to gravity) = 41.2N

bottom spring stretches 41.2N/8.30N/mm = 4.96 mm
the middle spring stretches twice as far
the top spring stretches 3 times as far
springs are assumed to be weightless

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