Calculate the spring constant of a spring given a force and extension, and set up the equation for a second scenario involving mass.

Step 1: Calculate the spring constant (k). According to Hooke's Law, the force applied to a spring is directly proportional to its extension (F = kx). Given: Force F₁ = 4 N; Extension x₁ = 0.5 m; k = (F₁)/(x₁); k = 4 N0.5 m; k = 8 N/m Step 2: Set up the equation for the second scenario. When the spring hangs vertically supporting a mass, the force acting on the spring is the weight of the mass (F₂ = mg).

Calculate the spring constant of a spring given a force and extension, and set up the equation for a second scenario involving mass.

Step 1: Calculate the spring constant (k). According to Hooke's Law, the force applied to a spring is directly proportional to its extension (F = kx). Given: Force F₁ = 4 N; Extension x₁ = 0.5 m; k = (F₁)/(x₁); k = 4 N0.5 m; k = 8 N/m Step 2: Set up the equation for the second scenario. When the spring hangs vertically supporting a mass, the force acting on the spring is the weight of the mass (F₂ = mg).

Solved: Calculate the spring constant of a spring given a…

Calculate the spring constant ( $k$ ).
According to Hooke's Law, the force applied to a spring is directly proportional to its extension ( $F = kx$ ).
Given:
Force $F_1 = 4 \text{ N}$
Extension $x_1 = 0.5 \text{ m}$
$k = \frac{F_1}{x_1}$ $k = \frac{4 \text{ N}}{0.5 \text{ m}}$ $k = 8 \text{ N/m}$
Set up the equation for the second scenario.
When the spring hangs vertically supporting a mass, the force acting on the spring is the weight of the mass ( $F_2 = mg$ ).

Calculate the spring constant of a spring given a force and extension, and set up the equation for a second scenario involving mass.

Step-by-step solution

Calculate the spring constant ( $k$ ).

Set up the equation for the second scenario.

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Calculate the spring constant of a spring given a force and extension, and set up the equation for a second scenario involving mass.

Step-by-step solution

Calculate the spring constant (kkk).

Set up the equation for the second scenario.

Still stuck on this one?

More Physics Questions

Calculate the spring constant ( $k$ ).