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AQA A-Level Further Mathematics
Optional Application 1 – Mechanics
3.3 Impulse and Momentum
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Momentum is defined as the product of an object's mass and its
velocity
What is the mathematical expression for momentum?
p = m × v
Impulse causes a change in
momentum
.
True
Collisions are divided into two main types: elastic and
inelastic
Kinetic energy is conserved in all collisions.
False
Impulse is the product of
force
and time.
True
What is the formula for impulse in terms of force and time?
Impulse = Force × Time
Impulse causes a change in
momentum
.
True
What is the SI unit for impulse?
N·s
The
impulse-momentum theorem
states that impulse equals the change in momentum.
True
What is conserved in inelastic collisions?
Momentum
What is the mathematical expression for the conservation of momentum in a system with two objects?
Impulse causes a change in momentum.
True
What is the formula for impulse?
Force × Time
Momentum is a vector quantity with both magnitude and
direction
The impulse-momentum theorem can be expressed as FΔt = m(v_f - v_i).
True
In inelastic collisions, kinetic energy is converted into heat, sound, or
deformation
What is the mathematical expression for the conservation of momentum?
m_{1}v_{1} + m_{2}v_{2} = m_{1}v_{1}' + m_{2}v_{2}'</latex>
A closed system in the conservation of momentum implies no
external forces
are present.
True
Inelastic collisions always result in objects sticking together.
False
Kinetic energy is conserved in all types of collisions.
False
What is an example of an elastic collision?
Ball bouncing on a surface
Match the concept with its definition:
Momentum ↔️ The product of mass and velocity
Impulse ↔️ The change in momentum
What is the formula for momentum?
mass × velocity
Match the type of collision with its characteristic:
Elastic Collision ↔️ Conserves both momentum and kinetic energy
Inelastic Collision ↔️ Conserves momentum but not kinetic energy
Momentum
is conserved in all types of collisions.
True
What does the conservation of momentum state in a closed system?
Total momentum remains constant
What happens to the total kinetic energy in an inelastic collision?
It is not conserved
Match the type of collision with its property:
Elastic Collision ↔️ Conservation of kinetic energy
Inelastic Collision ↔️ Kinetic energy loss
What type of energy is produced in an inelastic collision due to the loss of kinetic energy?
Heat
Steps to analyze momentum in two dimensions
1️⃣ Resolve velocities into x and y components
2️⃣ Apply conservation of momentum separately for x and y axes
3️⃣ Solve for unknown velocities
Impulse is defined as the change in
momentum
How is impulse related to momentum?
Impulse is the change in momentum
Match the concept with its definition:
Momentum ↔️ The product of mass and velocity
Impulse ↔️ The change in momentum
What is the formula for momentum in terms of mass and velocity?
Momentum = mass × velocity
What is conserved in elastic collisions?
Momentum and kinetic energy
The conservation of momentum states that the total momentum of a closed system remains
constant
Momentum is the product of an object's mass and
velocity
Impulse is the product of force and
time
Impulse is a scalar quantity.
False
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