# physics

posted by .

A cart of mass 223 g is placed on a frictionless horizontal air track. A spring having a spring constant of 10.20 N/ m is attached between the cart and the left end of the track. When in equilibrium, the cart is located 11.0 cm from the left end of the track. If the cart is displaced 4.20 cm from its equilibrium position, find
(c) its speed when it is 14.0 cm from the left end of the track.

• physics -

When the cart is 14 cm from the left end of the track, it has a displacement of
x=14 -11 cm =3 cm= 0.03 m from the equilibrium position.
The speed of the cart at this distance from equilibrium is
v=sqrt{k(A²-x²)m}=…

• physics -

ok, it released spring energy 0.2cm from the starting position to the mark.

energyreleased=INT force*dx from 4.2 to 4.0 cm if you are a calculus person.

for non calculcus persons the KE it has is the difference of spring PE

KE=energyat4.2-energyat4.0
= 1/2 k (4.2^2 -4^2)
then knowing KE, solve for velocity

## Similar Questions

1. ### physics

Two carts of equal mass, m = 0.280 kg, are placed on a frictionless track that has a light spring of force constant k = 51.9 N/m attached to one end of it. The red cart is given an initial velocity of v0 = 3.50 m/s to the right, and …

suppose a cart of mass m = 969 g is initial moving at speed v0 = 5.17 m/s. It strikes a spring attached to a fixed wall, comes to a stop, and bounces back at speed vf = 4.48 m/s. Assume the track is frictionless. a) Find the magnitude …
3. ### Physics

A 2.5 m rod of mass M= 4. kg is attached to a pivot .8m from the left end so that it can rotate vertically. At the left end of the rod is a small object with mass m=1.5kg. A spring with a spring constant k=90N/m is attached to the …
4. ### physics

A cart of mass 223 g is placed on a frictionless horizontal air track. A spring having a spring constant of 10.20 N/ m is attached between the cart and the left end of the track. When in equilibrium, the cart is located 11.0 cm from …
5. ### physics

A cart of mass 223 g is placed on a frictionless horizontal air track. A spring having a spring constant of 10.20 N/ m is attached between the cart and the left end of the track. When in equilibrium, the cart is located 11.0 cm from …
6. ### PHYSICS

A roller coaster powered by a spring launcher follows a frictionless track as shown below. The roller coaster cart has a mass of 500 kg, and the spring launcher has a spring constant of 1500 N/m. a. If the cart starts at a height h1 …
7. ### PHYSICS

A roller coaster powered by a spring launcher follows a frictionless track as shown below. The roller coaster cart has a mass of 500 kg, and the spring launcher has a spring constant of 1500 N/m. d. What is the fastest speed the cart …
8. ### Physics

At the top of an inclined track, a spring is attached to a rod at one end and a dynamics cart at the other such that the spring stretches parallel to the track. The cart has a mass of .850kg and there is negligible friction between …
9. ### PHYSICS

A frictionless horizontal air track has a spring at either end. The spring on the left has a spring constant of 1600 N/m; the one on the right has a spring constant of 1060 N/m. A glider with a mass of 2.9 kg is pressed against the …
10. ### Physics

two air carts of mass m1=0.87kg and m2=0.48kg are placed on a frictionless track.cart 1 is at rest initally, and a spring bumper with a force constant of 690N/m. cart 2 has a flat metal surface for a bumper, and move toward the bumper …

More Similar Questions