# simple harmonic motion.

posted by rock

A 5.80 kg object on a horizontal frictionless surface is attached to a spring with spring constant 860 N/m. The object is displaced from equilibrium 50.0 cm horizontally and given an initial velocity of 9.9 m/s back toward the equilibrium position.
(a) What is the frequency of the motion?
units in Hz

(b) What is the initial potential energy of the block-spring system?
units in J

(c) What is the initial kinetic energy?
units in J

(d) What is the amplitude of the motion?
units in m

1. drwls

(a) There is a standard formula for the frequency of spring/mass SHM.

f = [1/(2 pi)]*sqrt(k/M)

Use it.
(b) Ditto the P.E. of a stretched spring, (1/2) k X^2.

(c) (1/2) M Vo^2
(d) Amplitude X is whatever the P.E. is when K.E. = 0. That will happen when P.E. = total energy (b) + (c)

## Similar Questions

1. ### physics

A 0.20 kg object, attached to a spring with spring constant k = 10 N/m, is moving on a horizontal frictionless surface in simple harmonic motion of amplitude of 0.080 m. What is its speed at the instant when its displacement is 0.040 …
2. ### science

A 0.20 kg object, attached to a spring with spring constant k = 10 N/m, is moving on a horizontal frictionless surface in simple harmonic motion of amplitude of 0.080 m. What is its speed at the instant when its displacement is 0.040 …
3. ### physics

An object with mass 3.0 kg is attached to a spring with spring stiffness constant k = 300 N/m and is executing simple harmonic motion. When the object is 0.020 m from its equilibrium position, it is moving with a speed of 0.55 m/s. …
4. ### b.c.m school

A 5.0-kg object moves on a horizontal frictionless surface under the influence of a spring with force constant 10 3 N/m. The object is displaced 50 cm and given an initial velocity of 10 m/s back toward the equilibrium position. (a) …
5. ### Physics

A 2kg object is attached to a spring and undergoes simple harmonic motion. At t=0 the object starts from rest, 10 cm from the equilibrium position. If the force constant of the spring k is equal to 75 N/m, calculate a. the max speed …
6. ### Physics

An object with mass 8.2 kg is attached to a spring with spring stiffness constant 370 N/m and is executing simple harmonic motion. When the object is 0.16 m from its equilibrium position, it is moving with a speed of 0.31 m/s. Calculate …
7. ### physics

A 4.10 kg object on a horizontal frictionless surface is attached to a spring with spring constant 840 N/m. The object is displaced from equilibrium 50.0 cm horizontally (in the + direction) and given an initial velocity of 9.9 m/s …
8. ### Physics

A 4.07 x 10-2-kg block is resting on a horizontal frictionless surface and is attached to a horizontal spring whose spring constant is 144 N/m. The block is shoved parallel to the spring axis and is given an initial speed of 10.5 m/s, …
9. ### Physics

A 4.07 x 10-2-kg block is resting on a horizontal frictionless surface and is attached to a horizontal spring whose spring constant is 144 N/m. The block is shoved parallel to the spring axis and is given an initial speed of 10.5 m/s, …
10. ### Physics

A 4.05 x 10-2-kg block is resting on a horizontal frictionless surface and is attached to a horizontal spring whose spring constant is 121 N/m. The block is shoved parallel to the spring axis and is given an initial speed of 8.65 m/s, …

More Similar Questions