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

April 10, 2026Physics

ScanSolve AI Answer

April 10, 2026

Answer

kx$).

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 $F_1 = 4 \text{ N}$ Extension $x_1 = 0.5 \text{ m}$

$k = \frac{F_1}{x_1}$ $k = \frac{4 N}{0.5 m}$ $k = 8 \text{ N/m}$

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 ( $F_2 = mg$ ).

Was this helpful?

Need help with your own homework?

Get instant step-by-step solutions to any question. Free to start.

Ask Your Question

Handwritten Step-by-Step Solution

Get this as a handwritten image on WhatsApp — like a tutor wrote it for you.

Try on WhatsApp

More Physics Questions

QA wave is set up in a stretched string by plucking it. The velocity "v" of the wave depend up on ten…QThe Kinetic energy (n) of a body is found to depend on mass (x) and Velocity (y) of a body. Use the…QState the importance of considering speed when calculating total distance over the same time frame.QMagnetism meaning very short definition QIf the speed of X is increased by 20km/n within the 3 hours, what would be the effect on the distanc…

See all Physics questions →

Still have questions?

Quick Answer

Calculate the spring constant (k). According to Hooke's Law, the force applied to a spring is directly proportional to its extension (F = kx).

Asked on April 10, 2026Physics

This physics problem tests your understanding of fundamental physical laws and their applications. The step-by-step solution below breaks down the problem using relevant equations and physical reasoning.

ScanSolve AI AnswerAnswered on April 10, 2026

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 F_1 = 4 N Extension x_1 = 0.5 m k = (F_1)/(x_1) 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 (F_2 = mg).