Answer:
+ 5 m/s
Explanation:
change in displacement = ΔX=final position - initial position
ΔX = 0-(-5) =0+5 =+ 5 m
average velocity = ΔX/t
= +5/1
= + 5 m/s
positive sign shows that ball rolls towards right
-- 30N
-- the sum of all the forces
Answer:
The initial velocity is 50 m/s.
(C) is correct option.
Explanation:
Given that,
Time = 10 sec
For first half,
We need to calculate the height
Using equation of motion
![v^2=u^2+2gh](https://tex.z-dn.net/?f=v%5E2%3Du%5E2%2B2gh)
....(I)
For second half,
We need to calculate the time
Using equation of motion
![h =ut+\dfrac{1}{2}gt_{2}^2](https://tex.z-dn.net/?f=h%20%3Dut%2B%5Cdfrac%7B1%7D%7B2%7Dgt_%7B2%7D%5E2)
![h=0+\dfrac{1}{2}gt_{2}^2](https://tex.z-dn.net/?f=h%3D0%2B%5Cdfrac%7B1%7D%7B2%7Dgt_%7B2%7D%5E2)
![t_{2}=\sqrt{\dfrac{2h}{g}}](https://tex.z-dn.net/?f=t_%7B2%7D%3D%5Csqrt%7B%5Cdfrac%7B2h%7D%7Bg%7D%7D)
Put the value of h from equation (I)
![t_{2}=\sqrt{\dfrac{2\times v^2}{g^2}}](https://tex.z-dn.net/?f=t_%7B2%7D%3D%5Csqrt%7B%5Cdfrac%7B2%5Ctimes%20v%5E2%7D%7Bg%5E2%7D%7D)
![t_{2}=\dfrac{v}{g}](https://tex.z-dn.net/?f=t_%7B2%7D%3D%5Cdfrac%7Bv%7D%7Bg%7D)
According to question,
![t_{1}+t_{2}=10](https://tex.z-dn.net/?f=t_%7B1%7D%2Bt_%7B2%7D%3D10)
![t_{1}=t_{2}](https://tex.z-dn.net/?f=t_%7B1%7D%3Dt_%7B2%7D)
Put the value of t₁ and t₂
![\dfrac{v}{g}+\dfrac{v}{g}=10](https://tex.z-dn.net/?f=%5Cdfrac%7Bv%7D%7Bg%7D%2B%5Cdfrac%7Bv%7D%7Bg%7D%3D10)
![\dfrac{2v}{g}=10](https://tex.z-dn.net/?f=%5Cdfrac%7B2v%7D%7Bg%7D%3D10)
![v=\dfrac{10\times g}{2}](https://tex.z-dn.net/?f=v%3D%5Cdfrac%7B10%5Ctimes%20g%7D%7B2%7D)
Here, g = 10
The initial velocity is
![v=\dfrac{10\times10}{2}](https://tex.z-dn.net/?f=v%3D%5Cdfrac%7B10%5Ctimes10%7D%7B2%7D)
![v=50\ m/s](https://tex.z-dn.net/?f=v%3D50%5C%20m%2Fs)
Hence, The initial velocity is 50 m/s.
Answer:
Answer is D.......Falling water turns a turbine that helps generate electricity.
Explanation:
Hydropower plants capture the energy of falling water to generate electricity. A turbine converts the kinetic energy of falling water into mechanical energy. Then a generator converts the mechanical energy from the turbine into electrical energy.