AP Physics C Electricity & Magnetism › Using Spring Equations
A ball is attached to a spring on a frictionless, horizontal plane. If the spring constant is and the mass of the ball three kilograms, at what angular frequency will the system oscillate?
An 85 kg stuntman stands on a spring-loaded platform for a movie scene. The spring constant for the platform is . How far should the platform be compressed to launch the stuntman 7.0 m in the air?
A 3 kg mass is attached to a spring that is attached to a wall. The mass is pulled 10 cm away from the spring's equilibrium point and released. If the spring has a constant of , what is the maximum velocity the mass will reach?
All angles in this problem are expressed in radians.
An object oscillates horizontally, and its displacement from equilibrium can be found using the equation:
where is in seconds. What is the velocity of the object at
?
A mass on the end of a spring oscillates back and forth. The period of an oscillating spring is measured to be 2.27 seconds. The mass is measured to be 0.300 kg. What is the spring's spring constant?
A 500g ball is attached to a massless spring on a frictionless, horizontal plane. If at its equilibrium position, the ball is moving at , and the spring constant is
, what is the maximum displacement of the ball from its equilibrium position?
A block on a frictionless table is connected to a horizontal spring with constant
. If the block is released from rest when the spring is stretched a distance of
,
what is its speed when the spring is compressed a distance of ?
A mass is attached to a spring of force constant
. The mass rests on a frictionless surface and oscillates horizontally, with oscillations of amplitude
. What is the maximum velocity of this mass in terms of
,
, and
?
A 1kg ball is attached to a massless spring on a frictionless, horizontal plane. If at its equilibrium position, the ball is moving at , how much total energy is in the system?
A bungee-jumping company operates on a bridge 200 m above the ground. They use bungee cords that are 100 m when they are unstretched; these bungee cords have a spring constant of . What could the mass of their largest customer be before hitting the ground becomes an issue?