Given that,
Capacity = 3.6 gallons per minutes
Convert it into milliliters per seconds
Since, 1 gallon = 3.79 liters
1 liters = 1000 milliliters
Capacity= (3.6*3.79*1000)/(60)
Capacity = 227.4 milliliters per second.
Answer:
5488 Joules
Explanation:
Use the formula for the potential energy:
![E_p = mgh = 70kg\cdot 9.8\frac{m}{s^2}\cdot 8m = 5488 J](https://tex.z-dn.net/?f=E_p%20%3D%20mgh%20%3D%2070kg%5Ccdot%209.8%5Cfrac%7Bm%7D%7Bs%5E2%7D%5Ccdot%208m%20%3D%205488%20J)
40 meters times 1 meter over 100 centimeters equals 0.4 meters. 1.3 meters + 40 centimeters =. 1.3 m + 0.4 m = 1.7 m. The answer is 1.7 meters
Explanation:
It is given that,
Mass of the soccer ball, m = 0.425 kg
Speed of the ball, u = 15 m/s
Angle with horizontal, ![\theta=33^{\circ}](https://tex.z-dn.net/?f=%5Ctheta%3D33%5E%7B%5Ccirc%7D)
Time for which the player's foot is in contact with it, ![\Delta t = 5.1\times 10^{-2}\ s](https://tex.z-dn.net/?f=%5CDelta%20t%20%3D%205.1%5Ctimes%2010%5E%7B-2%7D%5C%20s)
Part A,
The x component of the soccer ball's change in momentum is given by :
![\Delta p_x=mv\ cos\theta](https://tex.z-dn.net/?f=%5CDelta%20p_x%3Dmv%5C%20cos%5Ctheta)
![\Delta p_x=0.425\times 15\ cos(33)](https://tex.z-dn.net/?f=%5CDelta%20p_x%3D0.425%5Ctimes%2015%5C%20cos%2833%29)
![p_x=5.34\ kg-m/s](https://tex.z-dn.net/?f=p_x%3D5.34%5C%20kg-m%2Fs)
The y component of the soccer ball's change in momentum is given by :
![\Delta p_y=mv\ sin\theta](https://tex.z-dn.net/?f=%5CDelta%20p_y%3Dmv%5C%20sin%5Ctheta)
![\Delta p_y=0.425\times 15\ sin(33)](https://tex.z-dn.net/?f=%5CDelta%20p_y%3D0.425%5Ctimes%2015%5C%20sin%2833%29)
![p_y=3.47\ kg-m/s](https://tex.z-dn.net/?f=p_y%3D3.47%5C%20kg-m%2Fs)
Hence, this is the required solution.