An example of an inverse relationship is the one between pressure and volume of an ideal gas
Explanation:
Boyle's law states that:
<em>"For a gas kept at a constant temperature, the pressure of the gas is inversely proportional to its volume"
</em>
Mathematically,
where p is the pressure of the gas and V its volume.
The relationship can be written as

Therefore it is an example of inverse relationship, because:
- As the volume increases, the pressure decreases
- As the volume decreases, the pressure increases
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Answer:
final kinetic energy of the hammer is 10 kJ
Explanation:
As we know that there is no non conservative force on the system
So here we can use the theory of mechanical energy conservation
So we will have

here we know that

from above expression now


so final kinetic energy of the hammer is 10 kJ
Given:
m(mass of the box)=10 Kg
t(time of impact)=4 sec
u(initial velocity)=0.(as the body is initially at rest).
v(final velocity)=25m/s
Now we know that
v=u+at
Where v is the final velocity
u is the initial velocity
a is the acceleration acting on the body
t is the time of impact
Substituting these values we get
25=0+a x 4
4a=25
a=6.25m/s^2
Now we also know that
F=mxa
F=10 x6.25
F=62.5N