Question

A 35.0-g object connected to a spring with a force constant of 45.0 N/m oscillates with an amplitude of 5.00 cm on a frictionless, horizontal surface.

(a) Find the total energy of the system.
mJ

(b) Find the speed of the object when its position is 1.30 cm. (Let 0 cm be the position of equilibrium.)
m/s

(c) Find the kinetic energy when its position is 3.00 cm.
mJ

(d) Find the potential energy when its position is 3.00 cm.
mJ

Answer 1

given :

m = mass of object = 35 g = 0.035 kg

k = spring constant = 45 N/m

A = amplitude = 5 cm = 0.05 m

a) Total energy of system = [answer]

b) speed at any distance x from mean position is

x = 1.3cm = 0.013 m

therefore, speed at x (= 0.013 m) is [answer]

c) kinetic energy =

at x (= 3cm = 0.03 m), kinetic energy will be = [answer]

d) Potential energy =

at x (= 3cm = 0.03 m), potential energy will be = [answer]