Answer:
the maximum speed of the ball is 12.65 m/s
Explanation:
Given;
mass of the ball, m = 40 g = 0.04 kg
spring constant, k = 25 N/m
Apply the principle of conservation of energy;
The Elastic potential energy of the spring will be converted into Kinetic of the ball;
![\frac{1}{2} kx^2 = \frac{1}{2} mv^2\\\\ kx^2 = mv^2\\\\v^2 = \frac{kx^2}{m} \\\\v = \sqrt{\frac{kx^2}{m}} \\\\v = \sqrt{\frac{(25)(0.506)^2}{0.04}} \\\\v = \sqrt{160.0225} \\\\v = 12.65 \ m/s](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D%20kx%5E2%20%3D%20%5Cfrac%7B1%7D%7B2%7D%20mv%5E2%5C%5C%5C%5C%20kx%5E2%20%3D%20mv%5E2%5C%5C%5C%5Cv%5E2%20%3D%20%5Cfrac%7Bkx%5E2%7D%7Bm%7D%20%5C%5C%5C%5Cv%20%3D%20%5Csqrt%7B%5Cfrac%7Bkx%5E2%7D%7Bm%7D%7D%20%5C%5C%5C%5Cv%20%3D%20%5Csqrt%7B%5Cfrac%7B%2825%29%280.506%29%5E2%7D%7B0.04%7D%7D%20%5C%5C%5C%5Cv%20%3D%20%5Csqrt%7B160.0225%7D%20%5C%5C%5C%5Cv%20%3D%2012.65%20%5C%20m%2Fs)
Therefore, the maximum speed of the ball is 12.65 m/s
Pangaea is important because it was all the continents in one giant land mass surrounded by water. When the plates shifted and broke apart we got the seven continents we know today. <span />
Answer:
electrical energy change into heat and light energy.
Answer:
87.1 mph
Explanation:
We are given that
Mass,m=60 kg
Power,P=340 W
Speed,v=5 m/s
Area,![A=0.344 m^2](https://tex.z-dn.net/?f=A%3D0.344%20m%5E2)
Drag coefficient,![C_d=0.88](https://tex.z-dn.net/?f=C_d%3D0.88)
Coefficient of rolling resistance,![\mu_r=0.007](https://tex.z-dn.net/?f=%5Cmu_r%3D0.007)
Friction force,![f=\mu_rmg=0.007\times 60\times 9.8=4.1 N](https://tex.z-dn.net/?f=f%3D%5Cmu_rmg%3D0.007%5Ctimes%2060%5Ctimes%209.8%3D4.1%20N)
Where ![g=9.8 m/s^2](https://tex.z-dn.net/?f=g%3D9.8%20m%2Fs%5E2)
Let speed of cyclist=v'
Drag force,![F_d=\frac{1}{2}\rho_{air}AC_dv^2](https://tex.z-dn.net/?f=F_d%3D%5Cfrac%7B1%7D%7B2%7D%5Crho_%7Bair%7DAC_dv%5E2)
Density of air,![\rho_{air}=1.225 kg/m^3](https://tex.z-dn.net/?f=%5Crho_%7Bair%7D%3D1.225%20kg%2Fm%5E3)
![F_d=\frac{1}{2}\times 1.225\times 0.344\times 0.88(5)^2=4.635N](https://tex.z-dn.net/?f=F_d%3D%5Cfrac%7B1%7D%7B2%7D%5Ctimes%201.225%5Ctimes%200.344%5Ctimes%200.88%285%29%5E2%3D4.635N)
Power,P=![(F_d+f)\times v'](https://tex.z-dn.net/?f=%28F_d%2Bf%29%5Ctimes%20v%27)
![340=(4.1+4.635) v'=8.735v'](https://tex.z-dn.net/?f=340%3D%284.1%2B4.635%29%20v%27%3D8.735v%27)
![v'=\frac{340}{8.735}=38.9m/s](https://tex.z-dn.net/?f=v%27%3D%5Cfrac%7B340%7D%7B8.735%7D%3D38.9m%2Fs)
![v'=87.1 mph](https://tex.z-dn.net/?f=v%27%3D87.1%20mph)
1 m=0.00062137 miles
1 hour=3600 s
Answer:
4
Explanation:
It has 8 O atoms and 4 O2(g) molecules