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Momentum and Impulse
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The momentum of an object can be calculated using the formula
p
=
mv
, where
p
represents momentum, m represents
mass
, and
v
represents
velocity.
Momentum
is the product of
mass
and
velocity.
Momentum is conserved when there are no
external
forces acting on a system or when all
internal
forces cancel out.
When two objects collide, their
momenta
are
conserved
(total
momentum
remains
constant
).
Impulse is defined as the
change
in
momentum
over time (Δp/Δt) and has
units
of
kg·m/s.
Impact force is equal to
change
in
momentum divided
by
time.
Inelastic collision occurs when there is
no rebound
or
bounce back
from the
impact.
Newton's second law states that the
net force
on an object
equals
its
mass
times
acceleration
(
Fnet
=
ma
).
When two objects collide, their
momenta add up
to
zero
if they
stick together
(
conservation
of
momentum
).
If one object stops moving while another continues moving, then the first object must have
transferred
its
entire momentum
to the second object.
Elastic
collision
occurs when the bodies bounce off each other without sticking together.
Inelastic collision
occurs when the bodies
stick together
after they have come to
rest.
Impulse is equal to
force times time interval
(
FΔt
), with units of
N·s.
In a collision between two objects,
impulses
are
exchanged
according to
Newton's third law.
Increasing the
duration of impact
increases the
impulse
delivered.
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