Learning Target I can relate motion and mass to determine momentum. momentum.

Newton’s Laws relate: Force Momentum & Impulse Acceleration Mass Velocity Time

Force = m a V Momentum

Rectangles base height

Rectangles 12’ 3’ Area = 36 ft 2

Using only integers, how many rectangles can you design that have an area of 36 ft 2 ? Rectangle challenge:

Factors of 36: 1, 2, 3, 4, 6, 9, 12, 18, 36 9

Objects in motion are said to have momentum.

momentum is the effect of inertia when objects are moving.

Momentum is to _______ as Inertia is to _________

Momentum is to _______ as Inertia is to _________ motion rest

is a vector. Momentum... has a size and a direction. has the same direction as the object's velocity. is equal to the object’s mass multiplied by its velocity.

The variable for momentum is p.

p = m v Momentum or p

MOMENTUM is measured in kg m/s (pronounced "kilogram meter per second“)

Which has more momentum? Why? Moving slowly At rest V>0 V=0

Which has more momentum? Moving slowly At rest p = m * v when v> 0 p = m * v p = m * 0 p = 0

p = m * v Any moving thing (regardless of its velocity) has more momentum than anything at rest.

p = m * v Is it possible for something with a small amount of mass to have more momentum than another thing with lots of mass?

p = m * v Is it possible for something with a small amount of mass to have more momentum than another thing with lots of mass? Yes if the small mass is going fast enough

m = 2.0 kg v = 4.0 m/s

p = mv p = 8.0 kg m/s p = (2.0 kg)(4.0 m/s)

What keeps the bullet going after it leaves the gun’s barrel?

Momentum: Concept check A kg bullet leaves the rifle barrel at 1900 m/s. Find its momentum.

Mybusters video

A 23 kg cannonball traveled 700 yards before striking a home. It is estimated that the cannonball was traveling at 1000 feet per second. Find the momentum of the cannonball. (assume the velocity provided was the horizontal velocity) Manage your units!! Convert al units to MKS units (meters, kilograms, seconds) m= __________Does this need to be converted to MKS units? v x = __________Does this need to be converted to MKS units?. Given: Unknown: Formula: Solution: m= ________ v x = ________ Momentum Variable: Formula: Units:

Momentum: Concept check A kg bullet leaves the rifle barrel at 1900 m/s. Find its momentum. Given: M = kg V = 1900 m/s Unknown: p = ______ Formula: p = m v Substitute: p = (0.006 kg) (1900 m/s) = 11.4 kg m/s

Momentum: Concept check A kg bullet leaves the rifle barrel at 1900 m/s. Find its momentum. Given: M = kg V = 1900 m/s Unknown: p = ______ Formula: p = m v Substitute: p = (0.006 kg) (1900 m/s) = 11.4 kg m/s

Momentum: Concept check A kg bullet leaves the rifle barrel at 1900 m/s. Find its momentum. Given: M = kg V = 1900 m/s Unknown: p = ______ Formula: p = m v Substitute: p = (0.006 kg) (1900 m/s) = 11.4 kg m/s

Which has more momentum? Super tanker at 0.5 m/s? Speed boat at 80 m/s?

Momentum of the Super tanker? p = mv m =27,500,000 kg v = 0.5 m/s p = 13,750,000 kg m/s

Momentum of the Speed boat? p = mv m = 5200 kg v = 80 m/s p = 416,000 kg m/s

Which has more momentum? Super tanker Speed boat p = 416,000 kg m/s p = 13,750,000 kg m/s

h d Θ m1m1 m2m2 A box m 1 slides a distance d along a with a rough surface. It strikes a box m 2 that is at rest on a frictionless horizontal table top. The mass of m 2 is 1/3 the mass of m 1. If the spring’s stiffness coefficient is k. 1. Draw a force diagram for each box. 2. Find the velocity of m 1 at the bottom of the ramp in terms of m 1, h, d, angle theta, and g, 3.Find the momentum of m 1 at the bottom of the ramp. 4.Find the velocity of m 2 after the perfectly elastic collision with m 1. 5.Find the distance ‘x’ that the spring is compressed in terms of m 2, h, d, angle theta, and g,