Answer:
1. protons and neutrons
2. the atomic number states the number of protons present and the mass number says the total number of protons and neutrons
3. nucleus
Explanation:
Answer:
The final velocity of the car A is -1.053 m/s.
Explanation:
For an elastic collision both the kinetic energy and the momentum of the system are conserved.
Let us call
= mass of car A;
= the initial velocity of car A;
= the final velocity of car A;
and
= mass of car B;
= the initial velocity of car B;
= the final velocity of car B.
Then, the law of conservation of momentum demands that
![m_Av_{A1}+m_Bv_{B1} =m_Av_{A2}+m_Bv_{B2}](https://tex.z-dn.net/?f=m_Av_%7BA1%7D%2Bm_Bv_%7BB1%7D%20%3Dm_Av_%7BA2%7D%2Bm_Bv_%7BB2%7D)
And the conservation of kinetic energy says that
![\dfrac{1}{2} m_Av_{A1}^2+\dfrac{1}{2}m_Bv_{B1}^2=\dfrac{1}{2}m_Av_{A2}^2+\dfrac{1}{2}m_Bv_{B2}^2](https://tex.z-dn.net/?f=%5Cdfrac%7B1%7D%7B2%7D%20m_Av_%7BA1%7D%5E2%2B%5Cdfrac%7B1%7D%7B2%7Dm_Bv_%7BB1%7D%5E2%3D%5Cdfrac%7B1%7D%7B2%7Dm_Av_%7BA2%7D%5E2%2B%5Cdfrac%7B1%7D%7B2%7Dm_Bv_%7BB2%7D%5E2)
These two equations are solved for final velocities
and
to give
![$v_{A2} =\frac{m_A-m_B}{m_A+m_B} v_{A1}+\frac{2m_B}{m_A+m_B} v_{B1}$](https://tex.z-dn.net/?f=%24v_%7BA2%7D%20%3D%5Cfrac%7Bm_A-m_B%7D%7Bm_A%2Bm_B%7D%20v_%7BA1%7D%2B%5Cfrac%7B2m_B%7D%7Bm_A%2Bm_B%7D%20v_%7BB1%7D%24)
![$v_{B2} =\frac{2m_A}{m_A+m_B} v_{A1}+\frac{m_B-m_A}{m_A+m_B} v_{B1}$](https://tex.z-dn.net/?f=%24v_%7BB2%7D%20%3D%5Cfrac%7B2m_A%7D%7Bm_A%2Bm_B%7D%20v_%7BA1%7D%2B%5Cfrac%7Bm_B-m_A%7D%7Bm_A%2Bm_B%7D%20v_%7BB1%7D%24)
by putting in the numerical values of the variables we get
![$v_{A2} =\frac{281-209}{281+209} (2.82)+\frac{2*209}{281+209} (-1.72)$](https://tex.z-dn.net/?f=%24v_%7BA2%7D%20%3D%5Cfrac%7B281-209%7D%7B281%2B209%7D%20%282.82%29%2B%5Cfrac%7B2%2A209%7D%7B281%2B209%7D%20%28-1.72%29%24)
![\boxed{v_{A2} = -1.05m/s}](https://tex.z-dn.net/?f=%5Cboxed%7Bv_%7BA2%7D%20%3D%20-1.05m%2Fs%7D)
and
![$v_{B2} =\frac{2*281}{281+209} (2.82)+\frac{209-281}{281+209} (-1.72)$](https://tex.z-dn.net/?f=%24v_%7BB2%7D%20%3D%5Cfrac%7B2%2A281%7D%7B281%2B209%7D%20%282.82%29%2B%5Cfrac%7B209-281%7D%7B281%2B209%7D%20%28-1.72%29%24)
![\boxed{v_{B2} = 3.49m/s}](https://tex.z-dn.net/?f=%5Cboxed%7Bv_%7BB2%7D%20%3D%203.49m%2Fs%7D)
Thus, the final velocity of the car A is -1.053 m/s and of car B is 3.49 m/s.
Answer:
a. Net force = 40 Newton.
b. Acceleration = 8m/s²
Explanation:
Given the following data;
Force on postive x-axis = 90N
Force on negative x-axis = 50N
Mass = 5kg
a. To find the net force;
Net force can be defined as the vector sum of all the forces acting on a body or an object i.e the sum of all forces acting simultaneously on a body or an object.
The net force is equal to the difference between the two forces applied because they are acting in opposite directions.
Net force = 90 - 50
Net force = 40N
b. To find the acceleration;
Acceleration = net force/mass
Acceleration = 40/5
Acceleration = 8m/s²
Shock waves can be observed in outer space between planets where there is very little matter. Although little, plasma does exist in outer space which allows the waves to travel.
Answer:
d. The entropy of the system increases, because the disorder caused by the change in state from solid to liquid water causes more disorder than liquid water cooling causes order.
Explanation:
Entropy of a state may be defined as a natural process and spontaneous process. It is the measure of the disorder and randomness of the event.
In the context, when ice cubes are dropped in a cup of hot water which is insulated, the ice melts and the water temperature decreases. According to the principle of entropy increase, option A is wrong as the process in not a reversible process and option B is also wrong as it violates the principle of energy conservation. So option D is correct which shows the disorderness of the system.