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According to Hooke's Law, the force needed to stretch or compress a spring is directly proportional to the displacement of the spring from its equilibrium position. Which of the following formulas represents Hooke's Law correctly?
According to Hooke's Law, the force needed to stretch or compress a spring is directly proportional to the displacement of the spring from its equilibrium position. Which of the following formulas represents Hooke's Law correctly?
- F = k + x
- F = k/m
- F = mx
- F = kx (correct)
The modulus of elasticity is a measure of a material's ability to resist deformation under an applied force. Which of the following formulas correctly represents the modulus of elasticity (E)?
The modulus of elasticity is a measure of a material's ability to resist deformation under an applied force. Which of the following formulas correctly represents the modulus of elasticity (E)?
- E = mass/volume
- E = work/time
- E = force/area
- E = stress/strain (correct)
A spring with a spring constant of 100 N/m is stretched by 0.2 meters. What is the force exerted by the spring?
A spring with a spring constant of 100 N/m is stretched by 0.2 meters. What is the force exerted by the spring?
- 40 N
- 20 N
- 100 N
- 80 N (correct)
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Study Notes
Hooke's Law
- Hooke's Law states that the force needed to stretch or compress a spring is directly proportional to the displacement of the spring from its equilibrium position.
Modulus of Elasticity
- The modulus of elasticity (E) is a measure of a material's ability to resist deformation under an applied force.
Spring Force Calculation
- The formula for Hooke's Law is F = kx, where F is the force, k is the spring constant, and x is the displacement from the equilibrium position.
- If a spring with a spring constant of 100 N/m is stretched by 0.2 meters, the force exerted by the spring is F = 100 N/m × 0.2 m = 20 N.
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