Answer:
0.69 ohm
Explanation:
Heat generated per second, H = 50 cal/s
Potential difference, V = 12 V
Let R is the resistance of coil.
The formula for the heat is given by


R = 0.69 ohm
Answer:
Part a)
A = 66.2 m
Part b)
Angle = 38.35 degree
Explanation:
Part a)
Length of the vector is the magnitude of the vector
here we know that


now we have



Part b)
Angle made by the vector is given as



Answer:
h = 17.83[m]
Explanation:
By means of the working equation which is equal to the product of force by distance, we can find the energy printed at the launch.

where:
W = work [J]
F = force = 3500 [N]
d = distance = 0.5 [m]
Now replacing:
![W= 3500*0.5\\W=1750[J]](https://tex.z-dn.net/?f=W%3D%203500%2A0.5%5C%5CW%3D1750%5BJ%5D)
Now, this same work is converted to kinetic energy, necessary for the body to move with an initial velocity. And by energy conservation, we can say that kinetic energy is transformed into potential energy. That is, the kinetic energy will be equal to the potential energy.

where:
Ekin = kinetic energy [J]
Epot = potential energy [J]
Therefore:
![1750 = m*g*h\\1750=10*9.81*h\\h = 17.83[m]](https://tex.z-dn.net/?f=1750%20%3D%20m%2Ag%2Ah%5C%5C1750%3D10%2A9.81%2Ah%5C%5Ch%20%3D%2017.83%5Bm%5D)
Answer:
500 kW
Explanation:
Given that,
Energy of the train, E = 2 MJ = 2×10⁶ J
Time, t = 4 seconds
We need to find the power of the train. We know that,
Power = energy/time
So,

So, the power of the train is equal to 500 kW.