Question

f = -kx
f = ma
f = \frac{gm_1m_2}{r^2}
2 matching 3 points
match each word with the correction definition.
weight
elasticity
spring constant
a measure of how stiff a spring is.
the magnitude of the gravitational force.
the state an object is in when the net force on it is zero.
a restoring force of a spring in that it wants to go back to its at rest or equilibrium position.
the ability of an object to be stretched or compressed and return to its original shape.

Explanation:

• Weight: The magnitude of the gravitational force. Weight is calculated as \(W = mg\) (where \(m\) is mass and \(g\) is the acceleration due to gravity), and it represents the gravitational force acting on an object.
• Elasticity: The ability of an object to be stretched or compressed and return to its original shape. Elastic materials can deform under force and then regain their initial form when the force is removed.
• Spring Constant: A measure of how stiff a spring is. In Hooke's law \(F=-kx\) (\(F\) is the restoring force, \(x\) is the displacement from the equilibrium position), the spring constant \(k\) determines the relationship between the force and the displacement, with a higher \(k\) indicating a stiffer spring.

Answer:

• Weight: The magnitude of the gravitational force.
• Elasticity: The ability of an object to be stretched or compressed and return to its original shape.
• Spring Constant: A measure of how stiff a spring is.