physics

posted by .

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 the blue cart is initially at rest. If the carts
collide elastically,
a)find the magnitude of the velocity of the red cart just after the first collision.

b)Find the magnitude of the velocity of the blue cart just after the first collision.

c)Find the maximum compression in the spring.

• physics -

In an eleastic collion of two bodies of equal mass, they two bodies exchange velocities. That way, both momentum and kinetic energy are conserved. The blue cart has a final velocity of zero.

The red cart acquires a speed of Vo = 3.50 m/s and heads for the spring, I assume.

Maximum spring compression X is achieved when
(1/2) kX^2 = (1/2) M Vo^2
X = Vo sqrt(M/k)

• physics -

Thanks.
But as the carts exchange their velocities,blue cart must have a velocity = 3.50 m/s & red car zero velocity.
Am i right?
And
x = 3.5sqrt(0.280/51.9 = 0.26 m

• physics -

correct.

• physics -

how do u do part A and B?

Similar Questions

1. Physics

Hi, I have two homework problems I am having issues with. 1. Two carts of equal mass, m = 0.250 kg, are placed on a frictionless track that has a light spring of force constant k = 53.0 N/m attached to one end of it. The red cart is …
2. 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 …
3. physics

A 1.o kg cart A and 2.0 kg cart B are at rest on a frictionless table. A cord and a spring of negligible mass join the two carts. The spring is compressed 0.060m between the two carts until the spring's potential energy is 12 Joules. …
4. physics

two air carts of mass m1=0.84kg and m2=0.42kg are placed on a frictionless track. cart1 is at rest and has a spring bumper of constant force F=690N/m.cart2 has a metal bumper and moves towards cart1 with a speed V=0.68m/s. A) what …
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 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 …
7. 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 …
8. Physics Classical Mechanics

The figure below shows the experimental setup to study the collision between two carts. In the experiment cart A rolls to the right on the level track, away from the motion sensor at the left end of the track. Cart B is initially at …
9. 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 …
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