Question

In: Physics

a. Two air-track gliders with equal and opposite speeds of 10.00 cm/s head toward each other...

a. Two air-track gliders with equal and opposite speeds of 10.00 cm/s head toward each other and collide, sticking together. Glider A, coming from the left, has a mass of 250.g, while glider B, coming from the right, has a mass of 500. g. What is the final velocity of the stuck-together pair, and in which direction? (The gliders are constrained to move only along the x-axis. Ignore friction.) Show your work completely

b. Using the values above (both given and calculated), find the velocity (magnitude and direction) of the system's center-of-mass twice: before the collision and after the collision. Show your work for both calculations.

c. Calculate the impulse received by glider A and glider B during the collision. For each impulse, given both the magnitude and direction. Show work

d. Show that the collision above was inelastic by calculating the total amount of kinetic energy lost by the two gliders in the collision. (In general, whenever colliding objects stick togehter, the collision is inelastic.) Show work.

e.Suppose that the same two gliders experience the same exact collision (say masses and initial velocity) but this time they have been outfitted with repulsive magnetic bumpers so that they have a perfectly elastic collision. Find the final velocities for both masses. Choose the +X direction to the right

Please do A, B, C, D and E

Solutions

Expert Solution


Related Solutions

Two billiard balls are initially traveling toward each other at speeds of 1.20 m/s for ball...
Two billiard balls are initially traveling toward each other at speeds of 1.20 m/s for ball 1 and 4.65 m/s for ball 2. The balls undergo an elastic, head-on collision. Find their final velocities. ball 1 magnitude direction ---Select--- in the same direction it was initially going. opposite the direction it was initially going. ball 2 magnitude direction ---Select--- in the same direction it was initially going. opposite the direction it was initially going.
An electron and positron are moving towards each other with equal speeds of 3x106 m/s. The...
An electron and positron are moving towards each other with equal speeds of 3x106 m/s. The two particles annihilate each other and produce two photons of equal energy. Part A) Do you need to use relativity for this problem? (Support your answer numerically) Part B) What are the deBroglie wavelengths of the electron and positron? Part C) Find the energy of each photon. Part D) Find the momentum of each photon. Part E) Find the wavelength of each photon.
Two cars are on a level air track. They have the same mass as each other....
Two cars are on a level air track. They have the same mass as each other. The red car is given a push so that it moves toward the blue car with an initial speed of 2 m/s, while the blue car is given a push so that it moves toward the red car with an initial speed of 4 m/s. If the cars completely stick together, find their combined speed after the collision. 2. This is an inelastic collision,...
Two particles approach each other with equal and opposite speed v. The mass of one particle...
Two particles approach each other with equal and opposite speed v. The mass of one particle is m, and the mass of the other particle is nm, where n is just a unitless number. Snapshots of the system before, during, and after the elastic collision are shown above. After the collision the first particle moves in the exact opposite direction with speed 2.40v, and the speed of the second particle is unknown. What is the value of n?
required info: Question 1: Rebel without a cause Two drivers speed head-on toward each other and...
required info: Question 1: Rebel without a cause Two drivers speed head-on toward each other and a collision is bound to occur unless one of them deviates at the last minute. If both deviate, everything is okay (they both win 1). If one deviates and the other does not, then it is a great success for the driver with iron nerves (he wins 2) and a great disgrace for the deviating driver (he loses 1). If both drivers have iron...
Two carts mounted on an air track are moving toward one another. Cart 1 has a...
Two carts mounted on an air track are moving toward one another. Cart 1 has a speed of 4.40 m/s and a mass of 0.530 kg. Cart 2 has a mass of 0.710 kg. a) If the total momentum of the system is to be zero, what is the initial speed of cart 2? b) Does it follow that the kinetic energy of the system is also zero since the momentum of the system is zero? c) Determine the system's...
Two air track gliders of mass 400.0 g and 300.0 g are moving towards each other...
Two air track gliders of mass 400.0 g and 300.0 g are moving towards each other in opposite directions with speeds of 60.0 cm/s and 100.0 cm/s, respectively. Take the direction of the more massive glider as positive. Use units of "g" and "cm/s" in your calculations. Determine the velocity of each glider after the collision if the collision is elastic. (Use units of "g" and "cm/s" for this question.) The most "inelastic" collision would occur if the two gliders...
Two trains (on separate tracks) travel toward each other, the first at 60.0 km/s and the...
Two trains (on separate tracks) travel toward each other, the first at 60.0 km/s and the second at 40.0 km/s. Both turn on their whistle, the first one emitting a frequency of 200 Hz and the second one emitting a frequency of 220 Hz. What frequencies do they each receive if the speed of sound in air is 330 m/s? Hint: Draw a diagram or do this one in steps. Is the source or the observer moving?
Two trains are traveling toward each other at 30.6 m/s relative to the ground. One train...
Two trains are traveling toward each other at 30.6 m/s relative to the ground. One train is blowing a whistle at 580 Hz. (Give your answers to at least three significant figures.) (a) What frequency will be heard on the other train in still air? (b) What frequency will be heard on the other train if the wind is blowing at 30.6 m/s toward the whistle and away from the listener? (c) What frequency will be heard if the wind...
A 1.450 kg air-track glider is attached to each end of the track by two coil springs.
A 1.450 kg air-track glider is attached to each end of the track by two coil springs. It takes a horizontal force of 0.900 N to displace the glider to a new equilibrium position, x= 0.250 m.1. Find the effective spring constant of the system.2. The glider is now released from rest at x= 0.250 m. Find the maximum x-acceleration of the glider.3. Find the x-coordinate of the glider at time t= 0.610T, where T is the period of the...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT