Answer:
(a) 2.34 s
(b) 6.71 m
(c) 38.35 m
(d) 20 m/s
Explanation:
u = 20 m/s, theta = 35 degree
(a) The formula for the time of flight is given by
![T = \frac{2 u Sin\theta }{g}](https://tex.z-dn.net/?f=T%20%3D%20%5Cfrac%7B2%20u%20Sin%5Ctheta%20%7D%7Bg%7D)
![T = \frac{2 \times 20 \times Sin35 }{9.8}](https://tex.z-dn.net/?f=T%20%3D%20%5Cfrac%7B2%20%5Ctimes%2020%20%5Ctimes%20Sin35%20%7D%7B9.8%7D)
T = 2.34 second
(b) The formula for the maximum height is given by
![H = \frac{u^{2} \times Sin^{2}\theta }{2g}](https://tex.z-dn.net/?f=H%20%3D%20%5Cfrac%7Bu%5E%7B2%7D%20%5Ctimes%20Sin%5E%7B2%7D%5Ctheta%20%7D%7B2g%7D)
![H = \frac{20^{2} \times Sin^{2}35 }{2 \times 9.8}](https://tex.z-dn.net/?f=H%20%3D%20%5Cfrac%7B20%5E%7B2%7D%20%5Ctimes%20Sin%5E%7B2%7D35%20%7D%7B2%20%5Ctimes%209.8%7D)
H = 6.71 m
(c) The formula for the range is given by
![R = \frac{u^{2} \times Sin 2\theta }{g}](https://tex.z-dn.net/?f=R%20%3D%20%5Cfrac%7Bu%5E%7B2%7D%20%5Ctimes%20Sin%202%5Ctheta%20%7D%7Bg%7D)
![R = \frac{20^{2} \times Sin 2 \times 35}{9.8}](https://tex.z-dn.net/?f=R%20%3D%20%5Cfrac%7B20%5E%7B2%7D%20%5Ctimes%20Sin%202%20%5Ctimes%2035%7D%7B9.8%7D)
R = 38.35 m
(d) It hits with the same speed at the initial speed.
Given :
Reem took a wire of length 10 cm. Her friend Nain took a wire of 5 cm of the same material and thickness both of them connected with wires as shown in the circuit given in figure. The current flowing in both the circuits is the same.
To Find :
Will the heat produced in both the cases be equal.
Solution :
Heat released is given by :
H = i²Rt
Here, R is resistance and is given by :
![R = \dfrac{\rho L}{A}](https://tex.z-dn.net/?f=R%20%3D%20%5Cdfrac%7B%5Crho%20L%7D%7BA%7D)
So,
Now, in the question every thing is constant except for the length of the wire and from above equation heat is directly proportional to the length of the wire.
So, heat produced by Reem's wire is more than Nain one.
Hence, this is the required solution.
Answer:0.1759 v
Explanation:
Intensity of wave at receiver end is
I=![\frac{P_{avg}}{A}](https://tex.z-dn.net/?f=%5Cfrac%7BP_%7Bavg%7D%7D%7BA%7D)
I=![\frac{3.80\times 10^3}{4\times \pi \times \left ( 4\times 1609.34\right )^2}](https://tex.z-dn.net/?f=%5Cfrac%7B3.80%5Ctimes%2010%5E3%7D%7B4%5Ctimes%20%5Cpi%20%5Ctimes%20%5Cleft%20%28%204%5Ctimes%201609.34%5Cright%20%29%5E2%7D)
I=![7.296\times 10^{-6} W/m^2](https://tex.z-dn.net/?f=7.296%5Ctimes%2010%5E%7B-6%7D%20W%2Fm%5E2)
Amplitude of electric field at receiver end
![E_{max}=\sqrt{2I\mu _0c}](https://tex.z-dn.net/?f=E_%7Bmax%7D%3D%5Csqrt%7B2I%5Cmu%20_0c%7D)
Amplitude of induced emf
=![E_{max}d](https://tex.z-dn.net/?f=E_%7Bmax%7Dd)
=![\sqrt{2\times 7.29\times 10-6\times 4\pi \times 3\times 10^8}\times 0.75](https://tex.z-dn.net/?f=%5Csqrt%7B2%5Ctimes%207.29%5Ctimes%2010-6%5Ctimes%204%5Cpi%20%5Ctimes%203%5Ctimes%2010%5E8%7D%5Ctimes%200.75)
=![17.591\times 10^{-2}=0.1759 v](https://tex.z-dn.net/?f=17.591%5Ctimes%2010%5E%7B-2%7D%3D0.1759%20v)
Anticyclone is the high pressure center of dry air
Answer:
Explanation:
Acceleration
is expressed in the following formula:
Where:
is the final velocity of the projectile
is the initial velocity of the projectile
is the time
Solving:
This is the acceleration of the projectile