AP Physics 1 - Springs | Practice Hub

A object is undergoing SHM with amplitude of . If the spring constant is $250 \frac{N}{m}$ , calculate the maximum speed of the object.

A horizontal spring with spring constant $100\frac{N}{m}$ is attached to a wall and a mass of . The mass can slide without friction on a frictionless surface.

Determine the frequency of motion of the system if the system is stretched by .

A spring with a spring constant of $50 \frac{N}{m}$ is compressed past its point of equilibrium. If internal friction results in an average power loss of , how long does the spring oscillate after being released until it comes to rest?

$g = 10\frac{m}{s^2}$

A mass is hung on a vertical spring which extends the spring by 2 meters. What is the spring constant of the spring in $\frac{N}{m}$ ?

A block falls off of a table and collides with a spring on the floor with velocity $10\frac{m}{s}$ . The spring has a spring constant of $100\frac{N}{m}$ . How much is the spring compressed when the velocity of the block is ?

Given that a spring is held above the ground and an object of mass tied to the spring is displaced below the equilibrium position, determine the spring constant .

$g=10\frac{m}{s^2}$

A homogenous mass of 0.25kg is fixed to a 0.5kg Hookean spring. When the mass/spring system is stretched 1cm from the equilibrium, it takes 3N of force to hold the mass in place. If the displacement from equilibrium is doubled, the force necessary to keep the system in place will __________.

A spring with constant $k = 50\ \frac{\textup{N}}{\textup{m}}$ is hanging from a ceiling. A block of mass $4\textup{ kg}$ is attached and the spring is compressed $0.4\textup{ m}$ from equilibrium. The block is then released from rest. What is the velocity of the block as it passes through equilibrium?

$g = 10\ \frac{\textup{m}}{\textup{s}^2}$

A horizontal spring with a spring constant of $20 \frac{N}{m}$ sits on a table and has a mass of attached to one end. The coefficient of kinetic friction between the mass and table is . If the spring is stretched to a distance of past its point of equilibrium and released, how many times does the mass pass through the point of equilibrium before coming to rest?

$g = 10\frac{m}{s^2}$

In the lab, a student has created an oscillator by hanging a weight from a spring. The student releases the oscillator from rest and uses a sensor and computer to find the equation of motion for the oscillator: $x(t)=0.13m;cos(6.3\frac{radians}{s}t+0.14:radians)$

The student then pulls the weight down twice as far and releases it from rest. What would the new equation of motion be for the oscillator?

Springs

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