Everything Science Grade 11

(Marvins-Underground-K-12) #1

12.5 CHAPTER 12. FORCE,MOMENTUM AND IMPULSE


12.5 Momentum and Impulse


Momentum is a physical quantity which is closely related to forces. Momentum is a propertywhich
applies to moving objects.

DEFINITION: Momentum


Momentum is the tendency of an object to continue to move in its direction of travel.
Momentum is calculatedfrom the product of themass and velocity of anobject.

The momentum (symbol p) of an object of mass m moving at velocity v is:

p = m· v

According to this equation, momentum is related to both the mass andvelocity of an object. Asmall
car travelling at the same velocity as a big truckwill have a smaller momentum than the truck. The
smaller the mass, the smaller the velocity.
A car travelling at 120km·hr−^1 will have a bigger momentum than the same car travelling at 60
km·hr−^1. Momentum is also related to velocity; the smaller the velocity, the smaller the momen-
tum.
Different objects can also have the same momentum, for example a car travelling slowly can have the
same momentum as a motor cycle travelling relatively fast. We can easilydemonstrate this.
Consider a car of mass 1000 kg with a velocity of 8 m·s−^1 (about 30 km·hr−^1 ). The momentum of the
car is therefore

p = m· v
= (1000kg)(8m· s−^1 )
= 8000kg· m· s−^1

Now consider a motor cycle of mass 250 kg travelling at 32 m·s−^1 (about 115 km·hr−^1 ). The momen-
tum of the motor cycle is:

p = m· v
= (250kg)(32m· s−^1 )
= 8000kg· m· s−^1

Even though the motor cycle is considerably lighter than the car, the factthat the motor cycle is travel-
ling much faster than the car means that the momentum of both vehicles is the same.

From the calculations above, you are able to derive the unit for momentum as kg·m·s−^1.
Momentum is also vector quantity, because it isthe product of a scalar (m) with a vector (v).
This means that whenever we calculate the momentum of an object, weneed to include the direction
of the momentum. See video: VPkki at http://www.everythingscience.co.za
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