The speed downwards is 7 + (3*9.8)
7+ 29.4 = 36.4 m/s
Potential energy at top:
PE = mgh
PE = 40 x 9.81 x 12
P.E = 4,708.8 J
Kinetic energy at bottom:
KE = 1/2 mv²
KE = 1/2 x 40 x 10²
K.E = 2,000 J
P.E = K.E + Frictional losses
Frictional losses = 4708 - 2000
Frictional losses = 2708 J
The answer is D.
Here, you need to use your "Protractor" as it is given in the question, but we can calculate the value with the help of our mathematical calculation too:
[ Protractor can be use only in real life, not here ]
Draw an imaginary line from initial position to final position.
Now, In that triangle, tan x = P/B
tan x = 1.4 / 2
tan x = 0.70
x = tan⁻¹ (0.70)
x = 35 [ tan 35 = 0.70 ]
In short, Your Answer would be 35 degrees
Hope this helps!
Answer:
Angular velocity, 
Explanation:
It is given that,
Maximum emf generated in the coil, 
Diameter of the coil, d = 40 cm
Radius of the coil, r = 20 cm = 0.2 m
Number of turns in the coil, N = 500
Magnetic field in the coil, 
The angle between the area vector and the magnet field vector varies from 0 to 2 π radians. The formula for the maximum emf generated in the coil is given by :




So, the angular velocity of the circular coil is 35.36 rad/s. Hence, this is the required solution.