First, let's express the movement of Car A and B in terms of their position over time (relative to car B)
For car A: y=20x-200 Car A moves 20 meters every second x, and starts 200 meters behind car B
For Car B: y= 15x Car B moves 15 meters every second and starts at our basis point
Set the two equations equal to one another to find the time x at which they meet:
20x - 200 = 15x
200 = 5x
x= 40
At time x=40 seconds, the cars meet. How far will Car A have traveled at this time?
Car A moves 20 meters every second:
20 x 40 = 800 meters
Any two-dimensional vector in cartesian (x,y) coordinates can be broken down into individual horizontal and vertical components using trigonometry. If a train goes up a hill with 15 degree incline at a speed of 22 m/s, the horizontal component is 22cos(15)=21.3 m/s and the vertical component is 22sin(15)=5.5 m/s.
The velocity is 4374.45 m/s.
I got the answer by using v=d/t.
20,000meters / 25min= 4,374.45 m/s.
Answer:
v= 4055.08m/s
Explanation:
This is a problem that must be addressed through the laws of classical mechanics that concern Potential Gravitational Energy.
We know for definition that,
![U = \frac{GMm}{r}](https://tex.z-dn.net/?f=U%20%3D%20%5Cfrac%7BGMm%7D%7Br%7D)
We must find the highest point and the lowest point to identify the change in energy, so
Point a)
The problem tells us that an object is dropped at a distance of h = 1.15134R over the earth.
That is to say that the energy of that object is equal to,
![U_1=-\frac{(6.6738 * 10^{-11})(5.98 * 10^{24})(94.2)}{(1.15134)(6.38*10^6)}](https://tex.z-dn.net/?f=U_1%3D-%5Cfrac%7B%286.6738%20%2A%2010%5E%7B-11%7D%29%285.98%20%2A%2010%5E%7B24%7D%29%2894.2%29%7D%7B%281.15134%29%286.38%2A10%5E6%29%7D)
![U_2= - 5.1180*10^9J](https://tex.z-dn.net/?f=U_2%3D%20-%205.1180%2A10%5E9J)
Point B )
We now use the average radius distance from the earth.
![U_2=-\frac{(6.6738 * 10^{-11})(5.98 * 10^{24})(94.2)}{(6.38*10^6)}](https://tex.z-dn.net/?f=U_2%3D-%5Cfrac%7B%286.6738%20%2A%2010%5E%7B-11%7D%29%285.98%20%2A%2010%5E%7B24%7D%29%2894.2%29%7D%7B%286.38%2A10%5E6%29%7D)
![U_2= -5.8925*10^9J](https://tex.z-dn.net/?f=U_2%3D%20-5.8925%2A10%5E9J)
Then,
![\Delta U = U_2 - U_1 = -5.1180*10^9J - ( -5.8925*10^9J)](https://tex.z-dn.net/?f=%5CDelta%20U%20%3D%20U_2%20-%20U_1%20%3D%20-5.1180%2A10%5E9J%20-%20%28%20-5.8925%2A10%5E9J%29)
![\Delta U = 774.5*10^6](https://tex.z-dn.net/?f=%5CDelta%20U%20%3D%20774.5%2A10%5E6)
By the law of conservation of energy we know that,
![\Delta U = \frac{1}{2}mv^2](https://tex.z-dn.net/?f=%5CDelta%20U%20%3D%20%5Cfrac%7B1%7D%7B2%7Dmv%5E2)
clearing v,
![v= \sqrt{2 \Delta U/m}](https://tex.z-dn.net/?f=v%3D%20%5Csqrt%7B2%20%5CDelta%20U%2Fm%7D)
![v= \sqrt{2*774.5*10^6 /94.2}](https://tex.z-dn.net/?f=v%3D%20%5Csqrt%7B2%2A774.5%2A10%5E6%20%2F94.2%7D)
![v= 4055.08m/s](https://tex.z-dn.net/?f=v%3D%204055.08m%2Fs)
Therefore the speed of the object when it strikes the Earth’s surface is 4055.08m/s
Answer:
Decrease in speed
Explanation:
Increasing an object's velocity can decrease kinetic energy. *The velocity of an object has no effect on kinetic energy. *Increasing an object's velocity can increase kinetic energy. Increasing an object's velocity can increase kinetic energy.