Momentum is one of the important concepts in physics, describing the motion of objects. It is a vector quantity because it contains both magnitude and direction. Understanding momentum can help solve many problems, ranging from simple collisions to complex systems.
Momentum is related to anything that deals with the mass of the moving body and could be elaborated to mean the quantity of motion measured as a product of mass and velocity.
p =mv
where
p is momentum.
m is the mass of the object.
v is the velocity of the object.
Units of Momentum: The SI unit of the momentum is kilogram meters per second (kg·m/s).
Problem 1: A car having a mass of 600 kg is moving with a velocity of 10m/s. Calculate the momentum of a car.
Solution:
Given:
Mass, m = 600 Kg,
Velocity, v = 10 m/s
Momentum is given as,
p=mv
=60010
= 6000 Kgms-1.
Problem 2: A bicycle travels at a velocity of 30m/s with a momentum of 4000kgm/s. Find the mass of the bicycle.
Solution:
Given:
v = 30m/s,
p = 4000 kgm/s,
momentum is given as,
p=mv
m=pv
=400030
m= 133.33Kg
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Formula: Ptolemy’s Theorem relates the sides and diagonals of a cyclic quadrilateral. For a cyclic quadrilateral ABCD with diagonals AC and BD, the theorem states: