Speed = 500m/5min = 100 m/min. Direction = west. Velocity = 100 m/min west.
Answer:
The population size decreases.
Explanation:
If more of a species are dying than being born, the population size will decrease.
Answer:
15.67 m/s
Explanation:
The ball has a projectile motion, with a horizontal uniform motion with constant speed and a vertical accelerated motion with constant acceleration g=9.8 m/s^2 downward.
Let's consider the vertical motion only first: the vertical distance covered by the ball, which is S=50 m, is given by
![S=\frac{1}{2}gt^2](https://tex.z-dn.net/?f=S%3D%5Cfrac%7B1%7D%7B2%7Dgt%5E2)
where t is the time of the fall. Substituting S=50 m and re-arranging the equation, we can find t:
![t=\sqrt{\frac{2S}{g}}=\sqrt{\frac{2(50 m)}{9.8 m/s^2}}=3.19 s](https://tex.z-dn.net/?f=t%3D%5Csqrt%7B%5Cfrac%7B2S%7D%7Bg%7D%7D%3D%5Csqrt%7B%5Cfrac%7B2%2850%20m%29%7D%7B9.8%20m%2Fs%5E2%7D%7D%3D3.19%20s)
Now we now that the ball must cover a distance of 50 meters horizontally during this time, in order to fall inside the carriage; therefore, the velocity of the carriage should be:
![v=\frac{d}{t}=\frac{50 m}{3.19 s}=15.67 m/s](https://tex.z-dn.net/?f=v%3D%5Cfrac%7Bd%7D%7Bt%7D%3D%5Cfrac%7B50%20m%7D%7B3.19%20s%7D%3D15.67%20m%2Fs)
Fc=mv^2/r so we get
2000kg*(25m/s)^2/(80m)= 15625N of force
hope this helps! Thank You!!