Impulse & Momentum
What does units kg x m/s² coorelate to?
WHAT IS MOMENTUM & IMPULSE
In which type of collision is momentum conserved but kinetic energy is not?
WHAT IS INELASTIC COLLISION
The integral of force with respect to time, and a type of explosion where the total momentum before equals the total momentum after
WHAT IS IMPULSE CONSERVATION OF MOMENTUM
When no external net force acts on a system, this quantity for the system’s center of mass remains constant.
WHAT IS VELOCITY
True or False: The total momentum is still conserved if an external force acts on a system.
WHAT IS FALSE
If a soccer ball of mass 0.5kg is kicked, changing the velocity from 0 to 10 m/s². What is the impulse applied to the ball?
(P= m x v)
WHAT IS 5 kg
Two identical hockey pucks slide across the ice and hit the same wall. Puck X bounces straight back, while Puck Y sticks to the wall. Both had the same speed before hitting the wall. Which one had more change in momentum?
WHAT IS PUCK X
This is the speed of a 1.01 kg system immediately after a 0.01 kg bullet traveling at 200 m/s embeds itself into a 1.0 kg hanging block, assuming no external horizontal forces.
WHAT IS APPROXIMATELY 1.98 m/s
Two carts, one 2 kg and the other 4 kg, are moving toward each other. The 2 kg cart moves at 3 m/s to the right, and the 4 kg cart moves at 1.5 m/s to the left. What is the velocity of the center of mass?
WHAT IS 0 m/s
A 10 kg crate is pulled across the floor with an acceleration of 1.5 m/s2. The frictional force opposing the motion is 20 N. What is the external force applied?
WHAT IS 35N
Athletes often increase this variable in the impulse equation to minimize injury during a collision.
WHAT IS TIME/ DURATION OF IMAPCT
A 0.80 kg cart moves to the right at 3.0 m/s on a frictionless horizontal track. It collides and sticks to a 1.2 kg cart initially resting.
(a) What is the final velocity of the two carts after the collision?
(b) How much kinetic energy is lost during the collision?
WHAT IS 1.2 m/s & 2.16J
A force that resists the motion of an object sliding along a surface, and the principle that states the net force acting on an object is equal to the rate of change of its momentum.
WHAT IS FRICTIONAL FORCE & NEWTON'S 2ND LAW
A 3-meter-long uniform rod of mass 3 kg has a 2 kg mass attached to its right end. Where is the center of mass from the left end of the rod?
WHAT IS THE CENTER OF MASS
A 3.0 kg block slides down a frictionless incline at an angle of 30. Find the external force causing the block’s acceleration.
WHAT IS 14.7 kg
A 1500 kg car is traveling at 25 m/s. It applies the brakes and comes to a stop in 8 seconds. What is the average force exerted by the brakes on the car during this time?
WHAT IS -4687.5 N
A gymnast runs and jumps onto a springboard, which launches them into the air. To maximize height, they want the springboard to exert the largest possible impulse.
The gymnast has two options:
Option A: Hit the springboard quickly and bounce off almost immediately.
Option B: Press down more deeply, staying in contact longer before takeoff.
WHAT IS OPTION B
If a 10kg object is travelling at 5 m/s to the right, and a 5 kg object is travelling at 3 m/s to the left, what is the total momentum of the system before the collision?
WHAT IS 35 kg
A 3-meter-long uniform rod of mass 3 kg has a 2 kg mass attached to its right end. Where is the center of mass from the left end of the rod?
WHAT IS 2.1 meters
A 4.0 kg box is pulled by two forces:
F1=30N to the right
F2=40N at 60 above the horizontal.
There is no friction. Find the net external force and the acceleration of the box.
WHAT IS 54.64 N & 13.66 m/s
This is the final linear and angular velocity of a uniform solid sphere of mass m and radius R, initially moving with velocity v0 and angular velocity w0, when it undergoes a perfectly elastic collision with a vertical wall, given that no slipping occurs at the point of contact during impact. Find linear velocity v1 & angular velocity w1 after impact?
WHAT IS v1= v0 + 2/7 Rw0 & w1= 5v0/7R + 2/7w0
A 2.5 kg block slides on ice at 6.0 m/s and hits a rough patch that applies a constant force of 12 N in the opposite direction of motion. The force acts for 2.0 seconds. What is the block’s speed after the force is applied?
WHAT IS -3.6 m/s opposite direction
A 1000 kg car is moving east at 15 m/s.A 1500 kg truck is moving north at 10 m/s.They collide at an intersection and stick together. What is their final velocity (magnitude and direction)?
WHAT IS 8.49 m/s at 45° north
A thin, uniform L-shaped plate is made by connecting two square metal sheets:
One square is 2 kg and 20 cm × 20 cm, lying along the x-axis from (0,0) to (20,20).
The second square is 2 kg and also 20 cm × 20 cm, placed vertically so that it extends from (0,20) to (20,40).Find the center of mass of the system. Give your answer in centimeters.
WHAT IS (10 cm, 20cm)
A 5.0 kg block slides down a 25 ° incline with kinetic friction (μk=0.2)
Find the external net force on the block down the incline.
WHAT IS 11.8 N