Intro to Momentum: Videos & Practice Problems

Two trucks are moving toward a roundabout. A 2200 kg loaded truck has a speed of 8.60 m/s from north to south. The other truck has a  mass of 1980 kg and is headed from east to west with a speed of 19.0 m/s. Determine the magnitude and direction of the total momentum. Take to the north and to the east as +y and +x directions respectively.

An SUV and a truck are approaching a crossroad. The SUV has a mass of 1760 Kg and is headed from north to south at 18.6 m/s. The 2500 kg truck is moving from west to east. with a speed of 11.5 m/s. Determine the x- and y- components of the total momentum of this system. Take to the north and to the east as +y and +x directions respectively. 

Consider a 300 g object that has an initial velocity of 2.0 m/s in the positive x-direction at t = 0 s. If a force of F_x = (6+2t) N, where t is in seconds, is applied to the object in the x-direction between t = 0 s and t = 4 s, how fast will the object be in the x-direction by t = 4 s?

Consider a body of mass m is stationary at time t = 0 s, and experiences a momentum expressed as p_x = 9t³ kg•m/s, t is in s. Obtain an equation representing the force experienced by the body.

A hockey player hits a stationary 200 g puck with a hockey stick of mass 1200 g for 0.02 s. The puck then moves away from the player with a speed of 60 m/s. Determine the average force exerted by the hockey stick on the puck during this contact time if the speed of the hockey stick was 35 m/s.

The graph shown below describes the collision of a body. Consider the duration of collision as 21 ms. Find the value of the average collision force experienced by the body.

At what velocity must a unicyclist, with a total mass of 80 kg (including the unicycle), pedal across a tightrope to equal the momentum of a cheetah weighing 60 kg sprinting at a speed of 15 m/s?

A 90 kg bungee jumper descends with a downward momentum of -3600 j kg m/s. Determine the velocity with which he is hurtling toward the ground.

According to Bohr, the angular momentum of electrons exists in multiples of ℏ. That is, angular momentum is quantized. Assuming the angular momentum of protons exists in multiples of ℏ, derive an expression for the energy levels of the proton when moving in a circular path(s) around a magnetic field. 

Calculate the magnitude of the momentum of a 33-g butterfly fluttering at 8.5 m/s.

A stationary cart, filled with grains moves down a frictionless ramp inclined at 20° to the horizontal. Grains continuously fall out from a hole in the cart at a rate of 3.0 kg/s. Determine the time it takes for the cart to travel 90 m down the slope if the total mass of the cart is 40 kg.

Consider a situation in which a manufacturing assembly line is in operation. In this setup, a conveyor belt maintains a consistent speed of 2.5 m/s, while grains are deposited onto it from a hopper at a rate of 65 kg/s. If the conveyor belt experiences a friction force of 180 N, causing it to slow down, calculate the requisite output power in units of horsepower that the motor experiences over time. This analysis should commence from the instant the grains are initially deposited at t = 0 seconds and extend until 4.0 seconds after the grains commence sliding off the end of the 25-meter-long conveyor belt.

Determine the change in momentum of a car during the time interval t = 2.0 s to t = 3.0 s, if a force F̄ = 78î -22tĵ is applied to the car, where F is measured in N and t in s.

What is the formula for momentum?

Why is momentum considered a vector quantity?

Calculate the momentum of a 1500 kg car traveling at 20 m/s.

Which statement best describes the relationship between momentum and inertia?

A truck with a mass of 5000 kg is moving at 10 m/s. What is its momentum?

If a car traveling east at 30 m/s has a momentum of 6000 kg·m/s, what is the momentum of a car of the same mass traveling west at the same speed?

Which pair of objects can have the same magnitude of momentum?