physics
posted by Jessica .
A 200g mass attached to a horizontal spring oscillates at a frequency of 2.0 Hz. At one instant, the mass is at x= 5.0cm and has v= 30cm/s.
find amplitude

First get the spring constant, k, from the frequency f and the mass m.
2 pi f = sqrt(k/m)
k = m (2 pi f)^2 = 31.6 N/m
You can get the total energy from
Etotal = (1/2)mV^2 + (1/2)kX^2
= (1/2)*0.2*(0.3)^2 + (1/2)*31.6*(.05)^2
= 0.009 + 0.0395 = 0.0485 J
Get the amplitude Xmax from the total energy by setting V = 0
Respond to this Question
Similar Questions

Physics
A 200 g mass attached to a horizontal spring oscillates at a frequency of 2 Hz. At one instant the mass is at x=5 cm and has a Vx=30 cm/s.Determine: a) the period ( i got T=.5s) b) the amplitude c) the max speed d) the total energy … 
physics (3 separate questions)
1. The motion of a body is described by the equation ay = −308y. (a) Find the angular frequency. (b) Find the frequency. (c) Find the period. 2. A 2.10 kg mass attached to a spring oscillates with a period of 0.395 s and an amplitude … 
PHYSICS
Two ingenious 120 student students decide to use an oscillating mass on a spring to check the shutter (exposure) time of their camera. They set up vertically alongside the mass and spring. A pointer attached to the mass allows the … 
PHYSICS  HELP
Two ingenious 120 student students decide to use an oscillating mass on a spring to check the shutter (exposure) time of their camera. They set up vertically alongside the mass and spring. A pointer attached to the mass allows the … 
PHYSICS  HELP
Two ingenious 120 student students decide to use an oscillating mass on a spring to check the shutter (exposure) time of their camera. They set up vertically alongside the mass and spring. A pointer attached to the mass allows the … 
physics
a mass of 0.7kg is attached to a horizontal spring (k=5.2) the spring is compressed to 20cm and released . assume that the spring is ideal and frictionless and the mass oscillates horizontally, 1.what is the amplitude of oscillation … 
physics mechanics
A block weighing 17 N oscillates at one end of a vertical spring for which k = 120 N/m; the other end of the spring is attached to a ceiling. At a certain instant the spring is stretched 0.24 m beyond its relaxed length (the length … 
Physics
A 0.30 kg mass is attached to a spring with a spring constant 170 N/m so that the mass is allowed to move on a horizontal frictionless surface. The mass is released from rest when the spring is compressed 0.15 m. (a) Find the force … 
science
A 170g mass attached to a horizontal spring oscillates at a frequency of 3.10Hz . At t =0s, the mass is at x= 6.60cm and has vx = − 15.0cm/s. Determine the position at t= 5.00s. The period is 0.32258 s The angular frequency is … 
physics
A 265g mass attached to a horizontal spring oscillates at a frequency of 1.00Hz . At t =0s, the mass is at x= 4.20cm and has vx = − 1*.0cm/s. Determine the position at t= 3.60s. So I already found that... The period is 1.0000 …