- Calculate the momentum of an object of mass = 9 x 10-31 kg and a velocity of 4 x 104 m/s. Can you guess what object this could be? hint: sub atomic particle.
- A force of 7.2 N is applied for 0.01 s. What is the impulse? I = F x t
- What is the change in momentum produced on an object if 23 N force acts on it for 7 s? I = F x t = mv = m (vf – vi)
- If a 5 N-s impulse is applied on a 0.5 kg ball which was initially at rest, find its final velocity?
- A blue billiard ball moving at 2 m/s undergoes a head-on elastic collision with a red ball of the same mass, initially at rest. Find the final velocities of (a) blue ball, (b) red ball.
- A skater moving at 3 m/s collides with another of the same mass moving at 4 m/s in the same direction. After collision they stick together. Find their final combined velocity.
mu1 + mu2 = (m + m) v
- A stone of mass 2 kg is thrown at an angle of 300 to the horizontal. Calculate the initial x and y components of its momentum if the velocity of throw is 3 m/s.
vx = v . cos vy = v . sin
- If the initial momentum of a firecracker before explosion was zero and no external forces were acting on it, what would be the total sum of the momentums of its individual parts be after explosion?
- If in the above explosion, the parts were scattered in both x and y directions then what would be x component sum of momentums and the y component sum of momentums of its parts?
- If the initial x-momentum of a system is 4 kg m/s and its y-momentum is 3 kg m/s, what are the final x and y momentums? Consider no external forces are acting on it. What it the resultant momentum of the system?
Strategy for solving problems of collisions in 1-D
- Identify the objects in the system.
- If no external force acts on the system then, momentum is conserved.
- Identify the defining event to determine momentum before and after it. Example; collision or explosion
- Calculate the momentum of each object in the system before and after the event. Take the sum of momentum of all objects before and after the event separately.
- Equate the initial and final momentum of the system and solve for the unknown variable.
Strategy for solving problems of collisions in 2-D
- Resolve the momentum of all objects before and after the event into their x and y components. Calculate the x-momentum sum and y-momentum sum before and after the event separately.
- Equate the initial and final x-momentum sum to each other and the initial and final y-momentum sum to each other. This should be done individually for each component and solve for the unknown variable.
- When is a collision considered to be head – on? Hint: Centers of mass of two objects.
- In an automobile collision, which causes most damage to the vehicle? a) glancing collision, b) head – on collision, c) bumper – bumper collision
- Impulse is the product of average force and time of impact. When applied to an object it causes a change in that object’s momentum? What causes damage, the change in momentum or the average force applied?
- (a) Why does a coffee cup break when it falls on the hard floor but not when it drops on the carpet? (b) Is the impulse same in both cases; (c) Is the force same?
- What are the x and y momentums of a 1000 kg car traveling at 15 m/s, making an angle of 400 with the ground?
- A red billiard ball makes a glancing collision with a blue ball of the same mass, initially at rest. The collision is inelastic. The initial x-momentum of the red ball is 5 kg m/s and its y-momentum is zero. After the collision the red ball has a x-momentum of 3 kg m/s and y-momentum of 2 kg m/s. Find out the x and y momentum of the blue ball after collision.