Answer:
3.3kg
Explanation:
Given parameters:
Spring constant = 400N/m
Extension = 8cm = 0.08m
Unknown:
Amount of mass the spring is supporting = ?
Solution:
To solve this problem:
F = kE
F is the force
k is the spring constant
E is the extension
So;
F = 400 x 0.08 = 32N
Mass;
Force = mass x acceleration due to gravity
32 = mass x 9.8
Mass = 3.3kg
The mass the spring is supporting is 3.27 Kg.
We'll begin by calculating the force acting on the spring.
Spring constant (K) = 400 N/mExtension (e) = 8cm = 8 / 100 = 0.08 mForce (F) =?F = Ke
F = 400 × 0.08
F = 32 N
Finally, we shall determine the mass. This can be obtained as follow:
Force (F) = 32 NAcceleration due to gravity (g) = 9.8 m/s²Mass (m) =?m = F / g
m = 32 / 9.8
m = 3.27 Kg
Therefore, the mass the spring is supporting is 3.27 Kg
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