Two carts with masses 250. g and 200. g are free to slide without friction on...

Two carts with masses 250. g and 200. g are free to slide without friction on a horizontal airtrack. The 250.g cart is pushed against a spring, compressing it by 3.00 cm, then released. It slides towards the initially stationary 200 g mass and collides with it. After the collision the 200. g mass has a forward velocity of 0.450 m/s and the 250. g mass has a forward velocity of 0.250 m/s.
a) What was the velocity of the 250. g cart just before the collision?
b) What was the spring constant?

Expert Solution

The following parts can be solved as follows:-

genius_generous answered 8 months ago

1. A 50 g ice cube can slide without friction up and down a 30 degree...

1. A 50 g ice cube can slide without friction up and down a 30 degree slope. The ice cube is pressed against a spring at the bottom of the slope, compressing the spring 10 cm. The spring constant is 25 N/m. a) When the ice cube is released, what total distance will it travel up the slope before reversing direction? b) The ice cube is replaced by a 50 g plastic cube whose coefficient of kinetic friction is 0.20....

A bar of mass m = 0.200 kg slide without friction on a pair of rails...

A bar of mass m = 0.200 kg slide without friction on a pair of rails separated by a distance at the length of 1.20 m. The pair of rails was located on an inclined plane making an angle of 25 degrees with respect to the ground. The rails were connected by a resistor at the top of the incline. The resistance of the resistor is R= 1 Ohm, and a uniform magnetic field of magnitude B = 0.500 T...

A student runs an experiment with two carts on a low-friction track. As measured in the...

A student runs an experiment with two carts on a low-friction track. As measured in the Earth reference frame, cart 1 (m = 0.48 kg ) moves from left to right at 1.0 m/s as the student walks along next to it at the same velocity. Let the +x direction be to the right. a) What velocity v⃗ E2,i in the Earth reference frame must cart 2 (m = 0.16 kg ) have before the collision if, in the student's...

Blocks A and B have a masses of 200 kgkg and 250 kgkg , respectively.(Figure 2)...

Blocks A and B have a masses of 200 kgkg and 250 kgkg , respectively.(Figure 2) The coefficient of static friction between A and B and between B and C is 0.210. The coefficient of static friction between the rope and peg E is 0.520. Pulley D rotates freely, and PPP_2 = 26.0 NN . If θθtheta_2 = 60.0 degreesdegrees , what is the smallest magnitude, TTT, of tension, TTT_evec, that causes block B to move?

Two low-friction physics demo carts collide on a horizontal track. The first cart, with a mass...

Two low-friction physics demo carts collide on a horizontal track. The first cart, with a mass of 0.154 kg , is moving to the right with a speed of 0.810 m/s . The second cart, with a mass of 0.299 kg , is moving to the left with a speed of 2.21 m/s . The carts collide in an elastic collision, such that the total kinetic energy after the collsion is equal to the total kinetic energy before the collision....

Imagine two carts with different masses colliding (m1 = 2.0 kg, m2 = 1.0 kg). If...

Imagine two carts with different masses colliding (m1 = 2.0 kg, m2 = 1.0 kg). If cart one is initially moving at 10 m/s and the other cart is stationary, calculate the final speed of each mass after they have a 100% elastic collision. Please show all work!

Two blocks are free to slide along a frictionless, wooden track. The track consists of a...

Two blocks are free to slide along a frictionless, wooden track. The track consists of a curve of height 4.91 m that falls to a straightaway. A smaller block weighing 4.91 kg is allowed to fall from the top the curve. It has a spring pointed forward embedded at the front. After reaching the straightaway, it collides with a larger block weighing 12 kg that is hard and flat at its rear. The two blocks rebound elastically. What is the...

Two objects, A and B, are released from rest in free space (no other masses are...

Two objects, A and B, are released from rest in free space (no other masses are near). Object A has a greater mass than object B. They accelerate toward each other under the action of their mutual gravitational attraction. a. On which object is the greater work done? b. At the instant just before they hit, which object will have the momentum with the greatest magnitude? c. At the instant just before they hit, which object will have the greater...

Two blocks are free to slide along the frictionless wooden track shown below. The block of...

Two blocks are free to slide along the frictionless wooden track shown below. The block of mass m1 = 5.07 kg is released from the position shown, at height h = 5.00 m above the flat part of the track. Protruding from its front end is the north pole of a strong magnet, which repels the north pole of an identical magnet embedded in the back end of the block of mass m2 = 10.3 kg, initially at rest. The...

Two small metal cubes with masses 2.0 g and4.0 g are tied together by a 4.9-cm-long...

Two small metal cubes with masses 2.0 g and4.0 g are tied together by a 4.9-cm-long massless string and are at rest on a frictionless surface. Each is charged to +2.2 μC . The string is cut. What is the speed of each sphere when they are far apart? Hint: There are two conserved quantities. Make use of both. The mechanical energy of the system is 0.89 J and the tension in the string is 18.1 N

Question