Momentum, mass and velocity calculators
This page contains a calculator for working out density, p (kg m s
-1
), as well as calculators with the equation rearranged
to make mass (kg) and velocity (ms
-1
) the subject. The formulas are shown together with other useful information and
examples to try.
The equations shown on this page all use SI base units, unlike many other equations which use derived units, such as
the watt (W). Derived units are shown on this page.
Enter all figures without commas. For example, enter 2,400 as 2400.
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Calculate momentum from mass (kg) and velocity (ms
-1
)
The equation for momentum is given on the right.
Example: A car has a mass of 1200 kg and is travelling at a velocity of
28 ms
-1
(about 63 mph). What is its momentum?
Using the calculator we can see that the momentum is 33,600
kg m s
-1
.
How does this compare with a locomotive with a mass of 210,000 kg
moving at the same speed?
Calculate mass (m) from momentum and velocity
The equation for mass is given above right.
Example: At the instant of impact with a skittle a bowling ball has a
momentum of 22.8
kg m s
-1
and
a velocity of 8
s
-1
.
What is the mass of
the bowling ball?
Using the calculator we see that the weight (mass) is 2.85 kg, which is
the accepted standard weight of a bowling ball.
The equation for momentum is:
Where:
p = momentum (kg m s
-1
)
m
= mass (kg)
v = velocity (ms
-1
)
Quick Facts
A light object moving very quickly will
have a high momentum, and a heavy
object moving slowly will also have a
high momentum.
Calculate velocity (v) from momentum and mass
The equation for velocity is given above right.
Example: A baseball has a mass of 0.145 kg and is thrown with a
momentum of 2.6
kg m s
-1
. What is it’s velocity?
Using the calculator we can see that the velocity is 17.9 ms
-1
(about 40
mph).
The equation for velocity is:
Where:
v = velocity (ms
-1
)
p = momentum (kg m s
-1
)
m
= mass (kg)
The equation for mass is:
Where:
m
= mass (kg)
p = momentum (kg m s
-1
)
v = velocity (ms
-1
)
Momentum calculators
Momentum calculators
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Momentum, mass and velocity calculators
This page contains a calculator for working out density, p (kg m
s
-1
), as well as calculators with the equation rearranged to
make mass (kg) and velocity (ms
-1
) the subject. The formulas
are shown together with other useful information and examples
to try.
The equations shown on this page all use SI base units, unlike
many other equations which use derived units, such as the watt
(W). Derived units are shown on this page.
Enter all figures without commas. For example, enter 2,400 as
2400.
Calculate momentum from mass (kg) and velocity (ms
-1
)
The equation for momentum is given below.
Example: A car has a mass of 1200 kg and is travelling at a
velocity of 28 ms
-1
(about 63 mph). What is its momentum?
Using the calculator we can see that the momentum is 33,600
kg m s
-1
.
How does this compare with a locomotive with a mass of
210,000 kg moving at the same speed?
The equation for momentum is:
Where:
p = momentum (kg m s
-1
)
m
= mass (kg)
v = velocity (ms
-1
)
Calculate mass (m) from momentum and velocity
The equation for mass is given below.
Example: At the instant of impact with a skittle a bowling ball
has a momentum of 22.8
kg m s
-1
and
a velocity of 8
s
-1
.
What is
the mass of the bowling ball?
Using the calculator we see that the weight (mass) is 2.85 kg,
which is the accepted standard weight of a bowling ball.
The equation for mass is:
Where:
m
= mass (kg)
p = momentum (kg m s
-1
)
v = velocity (ms
-1
)
Calculate velocity (v) from momentum and mass
The equation for velocity is given below.
Example: A baseball has a mass of 0.145 kg and is thrown with
a momentum of 2.6
kg m s
-1
. What is it’s velocity?
Using the calculator we can see that the velocity is 17.9 ms
-1
(about 40 mph).
The equation for velocity is:
Where:
v = velocity (ms
-1
)
p = momentum (kg m s
-1
)
m
= mass (kg)
