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il63 [147K]
3 years ago
14

A model airplane with mass 0.5 kg hangs from a rubber band with spring constant 45 N/m. How much is the rubber band stretched wh

en the model airplane hangs motionless?
Physics
2 answers:
e-lub [12.9K]3 years ago
8 0
Multiply 0.5 by 9.8 then divide it by 45. 0.11m
Contact [7]3 years ago
3 0

Answer:

0.109 m (10.9 cm)

Explanation:

The weight of the airplane hanging from the rubber band is given by the product between its mass (0.5 kg) and the acceleration due to gravity (g=9.8 m/s^2):

W=mg=(0.5 kg)(9.8 m/s^2)=4.9 N

This is the force that stretches the rubber band, according to Hook's law:

F=kx

where

k = 45 N/m is the spring constant

x is the stretching of the spring with respect to its equilibrium position

Substituting F = 4.9 N and re-arranging the formula, we get:

x=\frac{F}{x}=\frac{4.9 N}{45 N/m}=0.109 m=10.9 cm

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