They can either cancel each other or add up to a resultant force with a certain direction and modulus.
Newton's second law states that F=m*a, where F is the resultant force, ie ΣF.
Explanation:
Show that the motion of a mass attached to the end of a spring is SHM
Consider a mass "m" attached to the end of an elastic spring. The other end of the spring is fixed
at the a firm support as shown in figure "a". The whole system is placed on a smooth horizontal surface.
If we displace the mass 'm' from its mean position 'O' to point "a" by applying an external force, it is displaced by '+x' to its right, there will be elastic restring force on the mass equal to F in the left side which is applied by the spring.
According to "Hook's Law
F = - Kx ---- (1)
Negative sign indicates that the elastic restoring force is opposite to the displacement.
Where K= Spring Constant
If we release mass 'm' at point 'a', it moves forward to ' O'. At point ' O' it will not stop but moves forward towards point "b" due to inertia and covers the same displacement -x. At point 'b' once again elastic restoring force 'F' acts upon it but now in the right side. In this way it continues its motion
from a to b and then b to a.
According to Newton's 2nd law of motion, force 'F' produces acceleration 'a' in the body which is given by
F = ma ---- (2)
Comparing equation (1) & (2)
ma = -kx
Here k/m is constant term, therefore ,
a = - (Constant)x
or
a a -x
This relation indicates that the acceleration of body attached to the end elastic spring is directly proportional to its displacement. Therefore its motion is Simple Harmonic Motion.
The penny will reach terminal velocity at 50 ft. Then it will travel 25 mph till it reaches ground.
There are two different processes here:
1) we must add heat in order to bring the temperature of the water from
to
(the temperature at which the water evaporates)
2) other heat must be added to make the water evaporates
1) The heat needed for process 1) is
where
is the water mass
is the water specific heat
is the variation of temperature of the water
If we plug the numbers into the equation, we find
2) The heat needed for process 2) is
where
is the water mass
is the latent heat of evaporation of water
If we plug the numbers into the equation, we find
So, the total heat needed for the whole process is
Answer:
The pressure is
Explanation:
From the question we are told that
The first volume of is
The first pressure is
The first temperature is
The new temperature is
The new volume is
Generally according to the combined gas law we have that
=>
=>
=>