Impulse Imparted
Elastic and Inelastic
Energy and Momentum
Center of Mass
2D collisions
100
A 4kg mass starts with a velocity of +2m/s to the right. An net impulse of +8Ns to the right is imparted on the mass. What is the final velocity of the mass?
4m/s
100
A 100kg Gorilla and a 400kg Rhino are sliding toward each other with the same speed of 5m/s. If they hug and move off together, what is their final speed?
3 m/s
100
A mass M is moving with a speed S. It then runs into and sticks to an identical mass M sitting on the ground. What is their speed after the collision? (in terms of given variables)
S/2
100
A mass M sits at x=0, and a mass 2M sits at x=3m. Where is the center of mass?
x=2m
100
A 4kg mass is moving straight down with a speed 5m/s. It bounces off of a 10kg mass at rest. After the collision the 4kg mass is moving to the left with a speed 3m/s, what is the vertical component of velocity of the 10kg mass after the collision?
-2m/s (or 2m/s downwards)
200
A net force of 50 N is exerted for 10 seconds on a 25kg mass initially at rest. What is the final speed of the mass?
20 m/s
200
A 2kg mass heads to the right with a speed of 3m/s and bounces off an initially stationary 4kg mass with a speed of 1m/s to the left. What is the final speed of the 4kg mass?
2m/s to the right
200
A mass M is released from rest at the top of a frictionless incline of height H. It then runs into and sticks to an identical mass M sitting on the ground. What is their speed after the collision? (in terms of given variables)
√(2gH)/2
200
A mass 2M sits at x=2m, and a mass 6M sits at x=6m. Where is the center of mass?
x=5m
200
A car moves with speed S eastward and collides with and sticks to an identical car that is moving northwards with speed S. What is the final speed of the cars after the collision? (in terms of given quantities)
√2S/2
300
A mass M, initially at rest, has a force F exerted on it for a time T and ends with a speed S. If the experiment were repeated but the force is doubled, and the time the force is applied for is doubled, what would be the new final speed of the mass?
4S
300
A 1kg mass heads to the right with a speed of 5m/s and bounces off an initially stationary 2kg mass with a speed of 3m/s to the left. 1. How fast is the 2kg mass moving after the collision; and 2. Is the collision elastic?
4m/s to the right and no it is not elastic
300
A mass M starts against a spring of spring constant K compressed a distance D. The mass M is released, slides across a frictionless table and then runs into and sticks to a mass 2M sitting on the ground. What is their speed after the collision? (in terms of given variables)
√(KD2/M)/3
300
A mass 4M sits at x=-4m, a mass 3M sits at x=0m, and a mass 5M sits at x=2m. Where is the center of mass?
x=-0.5m
300
A 2kg mass moves to the right with speed 4m/s. It collides with a 4kg mass initially at rest. If the 2kg mass is moving straight down with a speed 2m/s after the collision, what are the horizontal and vertical components of velocity of the 4kg mass after the collision?
2m/s in the x direction and 1m/s in the y direction
400
A mass M is dropped from a height H. What is the impulse imparted on the ball by the force of gravity during the free fall?
-M √(2gH)
400
A mass M is moving to the right with a speed 2S and runs into a stationary mass 2M. After the collision, the mass M is moving to the left with a speed S. What is the speed of the 2M mass after the collision (in terms of given variables)?
3S/2 to the right
400
A mass M is released from rest at the top of a frictionless incline of height H. It then runs into and sticks to an identical mass M sitting on the ground. They slide across a rough ground and stop after sliding a distance D. What was the coefficient of friction on the rough ground? (in terms of given variables)
H/(4D)
400
A mass 4kg is moving with a speed 3m/s to the right, and a mass 2kg moves with a velocity of 2m/s to the left. What is the velocity of the center of mass?
4/3 m/s to the right
400
A 2kg mass moves to the right with speed 8m/s. It collides with a 4kg mass initially at rest. If the 2kg mass is moving straight up with a speed 6m/s after the collision, what are the horizontal and vertical components of velocity of the 4kg mass after the collision?
4m/s to the right and 3m/s down
500
A mass 2M is moving to the right with a speed S. A mass M is moving to the left with speed 5S. If the two masses stick together, what was the impulse imparted on the mass M? (Give only the impulse on the M mass alone)
+4MS
500
A mass 2M is moving to the right with a speed 2S and runs into a stationary mass 6M. The masses stick together and move off. In terms of given variables determine the amount of kinetic energy transformed into non-mechanical energy.
3MS2
500
A mass M starts against a spring of spring constant K compressed a distance D. The mass M is released, slides across a frictionless table and then runs into and sticks to a mass M sitting on the ground. The two masses slide across a rough patch of ground and stop after a distance L. What was the coefficient of friction of the rough ground? (in terms of given variables)
KD2/(8MgL)
500
A mass 12kg is located at (x,y) coordinates (0m,3m), and a mass 4kg is located at (-2m, 6m). What are the (x,y,) coordinates of the center of mass?
(-0.5m, 15/4 m)
500
A 4kg mass moves to the right with speed 3m/s. It collides with a 2kg mass initially at rest. If the 4kg mass is moving at a speed 2m/s at an angle of 60 degrees below horizontal, what are the horizontal and vertical components of the velocity of the 2kg mass after the collision?
4m/s to the right and 3.464m/s upwards