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.
Answer:
a) according to Faraday's law
, b) creating a faster movement, placing more turns on coil
Explanation:
a) The voltage is induced in the coil by the relative movement between it and the magnet, therefore according to Faraday's law
E = - d (B A) / dt
In this case, the magnet is involved, so the value of the magnetic field varies with time, since the number of lines that pass through the loop changes with movement.
This voltage creates a current that charges the battery
b) There are several ways to increase the voltage
* creating a faster movement, can be done by the user
* placing more turns on the coil, must be done by the manufacturer
Answer:
![3.844\,*\,10^5](https://tex.z-dn.net/?f=3.844%5C%2C%2A%5C%2C10%5E5)
So a=3.844 and b=5
Explanation:
Scientific notation requests to write a number using powers of ten as a factor accompanying a real number (a) between 1 and smaller than 10 that contains the digits to exactly represent the original number. So in this case, the number 384,400 can be written as:
![384,400=3.844 \,*\,100,000= 3.844 \,*\,10^5](https://tex.z-dn.net/?f=384%2C400%3D3.844%20%5C%2C%2A%5C%2C100%2C000%3D%203.844%20%5C%2C%2A%5C%2C10%5E5)
with a=3.844, and "5" as the exponent of ten (so b=5)