a³-a=? Give answer please
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Answer:
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Different well known effects of forces come into play as a result of the mutual
interaction of two entities. The manifold effects of forces include a change in the speed of
the object on which the force acts. E.g. if a ball is thrown vertically upwards, its speed
decreases. A ball rolling on ground comes to rest after sometime. When we push a ball, it
starts moving. If we push it harder, the speed of the ball increases .It turns out that the
energy associated with a moving object, goes up by a factor of four, when its speed doubles,
it goes up by a factor of nine, when the speed goes up by a factor of three and when it goes
up by a factor of sixteen the speed goes up by a factor of four. A force, acting on a surface
also exerts a pressure on it and this pressure is dependent on the area over which the force
acts perpendicularly. Also there is one special kind of force which, in general always tend to
slow down a moving object.
a) Give one example of a situation in which the force acting on a body slows down a moving
object without having any direct contact with that body.
b) By what factor will the energy of a moving object go up if its speed increases by a factor
of 5?
c) A given force ‘F’ is acting parallel to a long plane surface of area ‘A’. How much pressure
does this force exert on this plane surface?
d) Name the force that in general always tends to slow down a moving object and give one
example of i
Answer:
Hey there !!
Here we shall factorize
{a}^{3} - a \: = 0a
3
−a=0
we can write it as
a( {a}^{2} - 1) = 0 \: \: \: \: \: \: \: ( \: taking \: common)a(a
2
−1)=0(takingcommon)
then
we know a formula
{a}^{2} - {b}^{2} = (a + b)(a - b)a
2
−b
2
=(a+b)(a−b)
applying it to get ,
a(a + 1)(a - 1) = 0a(a+1)(a−1)=0
now we can find out its root
a = 0
a +1 = > a =-1
a -1 => a = 1
u can verify it by putting this value
Hope this helps u !!
Step-by-step explanation:
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