Answer:
The value is
Explanation:
From the question we are told that
The length of the solenoid is 
The radius is 
The number of turns is 
The current it carries is 
Generally the magnitude of the magnetic field is mathematically represented as

Here
is the permeability of free space with value 
=>
=>
The main idea word to know is the Life of Sioux (Lakota) children
Answer:
Work done, W = 84.57 Joules
Explanation:
It is given that,
Mass of the wooden block, m = 2 kg
Tension force acting on the string, F = 30 N
Angle made by the block with the horizontal, 
Distance covered by the block, d = 3 m
Let W is the work done by the tension force. It can be calculated as :


W = 84.57 Joules
So, the work done by the tension force is 84.57 Joules. Hence, this is the required solution.
Answer:
The correct option is;
(c) 64W
Explanation:
Here we have the Coefficient Of Performance, COP given by

The heat change from 23° to 6°C for a mass of 10 kg/h which is equivalent to 10/(60×60) kg/s or 2.78 g/s we have
= m·c·ΔT = 2.78 × 4.18 × (23 - 6) = 197.39 J
Therefore, plugging in the value for
in the COP equation we get;
which gives

Since we were working with mass flow rate then the power input is the same as the work done per second and the power input to the refrigerator = 63.674 J/s ≈ 64 W.
The power input to the refrigerator is approximately 64 W.