# Physics

An air-track cart of mass 0.10 is moving with a speed 1.2 to the right when it collides with a cart of mass 0.24 that is at rest. Each cart has a wad of putty on its bumper, and hence they stick together as a result of their collision. Suppose the average contact force between the carts is 1.3N during the collision. Cart 1 has an acceleration of 13 m/s^2. Cart 2 is accelerating at 5.4 m/s^2.

How long does it take for both carts to have the same speed? (Once the carts have the same speed the collision is over and the contact force vanishes.)

What is the final speed of the carts, ?

1. 👍
2. 👎
3. 👁
1. The mass of cart 1 is F/a1 = 0.1 kg
The mass of cart 2 is F/a2 = 0.241 kg
The final speed Vf of both carts at the end of the collision is given by momentum conservation:
0.341 Vf = 0.1*1.2
Vf = 0.352 m/s
The time required for cart 1 to go from 1.2 m/s to 0.341 m/s while decelerating at 13 m/s^2 is
0.0682 s.

1. 👍
2. 👎

## Similar Questions

1. ### Physics (Algebra-based)

A block starts at rest and slides down a frictionless track except for a small rough area on a horizontal section of the track.It leaves the track horizontally, flies through the air, and subsequently strikes the ground. gravity=

2. ### physics

A 0.054-kg pet lab mouse sits on a 0.35-kg air-track cart, as shown in (Figure 1) . The cart is at rest, as is a second cart with a mass of 0.25 kg. The lab mouse now jumps to the second cart. After the jump, the 0.35-kg cart has

3. ### Science

A 0.5kg cart connected to light spring for which the force constant is 20 Nm on horizontal frictionless air track. Calculate the total energy of the system and the maximum speed of the cart if the amplitude of the motion is 3.0cm

4. ### pals help

An air-track cart with mass m1=0.29kg and initial speed v0=0.95m/s collides with and sticks to a second cart that is at rest initially. Part A If the mass of the second cart is m2=0.55kg, how much kinetic energy is lost as a

1. ### Physics Help

A small, 200 g cart is moving at 1.50 m/s on an air track when it collides with a larger, 2.00 kg cart at rest. After the collision, the small cart recoils at 0.890 m/s. Q: What is the speed of the large cart after the collision?

2. ### Physics

A cart on an airtrack is moving at 0.5m/s.when the air is suddenly turned off the cart comes to rest after traveling 1m the experiment repeated but now the cart is moving at 1m/s when turned off .how far does the cart travel the

3. ### Physics

A 3,0kg cart moving East with a speed of 1.0ms^-1 collides head-on with a 5.0 kg cart that is initially moving West with a speed of 2.0 m.s^-1. After the collision, then 3.0 kg cart is moving to the left with a speed of 1.0

4. ### Physics

An air track cart with mass m 0.4kg and initial speed v0 = 0.7m/s collides with and sticks to a second cart that is at rest initially. If the mass of the second cart is m2 = 0.5kg, how much kinetic energy is lost as result of the

1. ### physics

An air-track cart with mass m=0.20kg and speed v0=1.5m/s approaches two other carts that are at rest and have masses 2m and 3m, as indicated in (Figure 1) . The carts have bumpers that make all the collisions elastic. Find the

2. ### Physics

A 3.0-kg cart is rolling along a frictionless, horizontal track towards a 1.2-kg cart that is held initially at rest. The carts are loaded with strong magnets that cause them to attract one another. Thus, the speed of each cart

3. ### Physics

In a physics lab, Kate and Rob use a hanging mass and pulley system to exert a 2.45 N rightward force on a 0.500kg cart to accelerate across a low-friction track. If the resistance (ignore air resistance) force to the motion of

4. ### physics

what impulse occurs when an average force of 10n is exerted on a cart of 2.5 s? What change in momentumdoes the cart undergo/ If the mass of the cart is 2K and the cart is initally at rest, calculate it's final speed.