Answer:
8) A hanging 7.5 kg object stretches a spring 1.1 m. What is the spring constant? 1 . 1 66. 82 NIMO 9) A spring has a constant of 875 N/m. What hanging mass will cause this spring to stretch 4.5 m? Iouliply then divide 875 X 4. 2- - (4 04. 7919) 10) A spring with a spring constant of 25 N/m is stretched 65 cm. What was the force used? 11) A 25 N force stretches a spring 280 cm. What was the spring constant? 12) A 75 N force stretches a spring 175 cm. What was the proportionality constant? 8) 66.82 N/m 9) 401.79 kg 10) 16.25 N 11) 8.93 N/m 12) 42.86 N/m
Explanation:
A spring has a constant of 875 N/m. and the mass which will cause this spring to stretch 4.5 meters is 401.78 kg.
What is Spring constant?The spring constant is a characteristic of a spring which is defined as the ratio of the force affecting the spring to the displacement which is caused by that force. The SI unit of spring constant is N.m⁻¹ (Newton per meter).
The spring constant is:
F = -k/ x
where, k is the spring constant
F denotes the force,
and x denotes the change in the length of the spring.
k = 875N/m
x = 4.5m
We know that
Kx = mg
m= kx/ g
m = 875 × 4.5/ 9.8
m = 401.78kg
Therefore, the mass which will cause this spring to stretch 4.5 meters is 401.78 kg.
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