What statement is true about a spring?
2 answers:
Answer:
B. The stiffer the spring, the greater the force required to restore its position.
Explanation:
The 'restoring force' (the force required to restore the position of a spring) is given by:
where
F is the restoring force
k is the spring constant, which determines its stiffness (the higher the value of k, the stiffer the spring)
x is the displacement of the spring relative to its natural length
From the formula, we see that the higher the value of k (so, the stiffer the spring), the larger the restoring force, so the correct option is
B. The stiffer the spring, the greater the force required to restore its position
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1. 0.2 g/mL
The relationship between mass, density and volume of an object is
where
d is the density
m is the mass
V is the volume
For the object in this problem, we have
m = 10 g
V = 50 mL
Substituting into the equation,
2. 10 mL
In this exercise we know:
- The density of the object: d = 2 g/mL
- The mass of the object: m = 20 g
Therefore, we can re-arrange the previous equation to find the volume:
And substituting values into the equation, we find