To solve this problem we will apply the principles of conservation of energy, for which we have to preserve the initial kinetic energy as elastic potential energy at the end of the movement. If said equality is maintained then we can affirm that,
Here,
m = mass
k = Spring constant
x = Displacement
v = Velocity
Rearranging to find the velocity,
Our values are,
Replacing our values we have,
Therefore the velocity is
Answer:
the mass of steam at 100°C must be mixed is 150 g
Explanation:
given information:
ice's mass, = 490 g = 0.49 kg
steam temperature, T = 100°C
liquid water temperature, T = 89.0°C
specific heat of water, = 4186 J/kg.K = 4.186 kJ/kg.K
latent heat of fusion, = 333 kJ/kg
latent heat of vaporization, = 2256 kJ/kg
first, we calculate the heat of melted ice to water
Q₁ =
where
Q = heat
= mass of the ice
= latent heat of fusion
thus,
Q₁ =
= 0.49 x 333
= 163.17 kJ
then, the heat needed to increase the temperature of water to 89.0°C
Q₂ =
(89 - 0), the temperature of ice is 0°C
= specific heat of water
so,
Q₂ =
(89 - 0)
= 0.49 x 4.186 x 89
= 182.55 kJ
so, the heat absorbed by the ice is
Q = Q₁ + Q₂
= 163.17 + 182.55
= 345.72 kJ
the temperature of the steam is 100°C, so the mass of the steam is
Q = +
(100 - 89)
Q = (
+
(11))
= Q/ [
+
(11)]
= 345.72/ [2256 + (4.186 x 11)]
= 0.15 kg
= 150 g
Answer:
Explanation:
<u>The total momentum of a system is defined by:</u>
Where,
is the total momentum or it could be expressed also as
.
and
represents the masses of the objects interacting in the system.
and
are the velocities of the objects of the system.
<em>Remember: </em><em>The momentum is a fundamental physical magnitude of vector type.</em>
We have:
We are going to take the east side as positive, and the west side as negative. Then the velocity of the car B, has to be <u>negative</u>. It goes in a different direction from car A.
Then the total momentum of the system is: