Answer:
1.24 J
Explanation:
The work done by a force is given by
where
F is the magnitude of the force
d is the displacement
is the angle between the directions of F and d
In this problem,
F = 0.18 N is the average force exerted by the muscles
d = 6.9 m is the displacement
(we assume the direction of the force is parallel to the displacement)
Substituting,
this is simple the word your looking for is 8 letters long and the definition is key to the answer
Answer:
the dimensions of the rectangle are:
l = 50 m
b =
Solution:
As per the question:
Perimeter of the room, P = 200 m
The region is rectangular having a semicircle at each end.
Now,
Let 'l' be the length of the rectangle, 'b' be its breadth and 'r' be the radius of the semi-circle at each end.
Then
Area of the rectangle, A = lb
Perimeter of the room, P =
Therefore, we can write:
Now,
Area, A =
Now, differentiate A w.r.t l:
Again differentiating w.r.t 'l', we get:
< 0
Thus we get maximum are when
Therefore,
l = 50 m
Now, from
b =
r =
Complete Question
A toroidal solenoid has 590 turns, cross-sectional area 6.20 cm^2 , and mean radius 5.00 cm .
Part A. Calculate the coil's self-inductance.
Part B. If the current decreases uniformly from 5.00 A to 2.00 A in 3.00 ms, calculate the self-induced emf in the coil.
Part C. The current is directed from terminal a of the coil to terminal b. Is the direction of the induced emf from a to b or from b to a?
Answer:
Part A
Part B
Part C
From terminal a to terminal b
Explanation:
From the question we are told that
The number of turns is
The cross-sectional area is
The radius is
Generally the coils self -inductance is mathematically represented as
Where is the permeability of free space with value
substituting values
Considering the Part B
Initial current is
Current at time t is
The time taken is
The self-induced emf is mathematically evaluated as
=>
substituting values
The direction of the induced emf is from a to b because according to Lenz's law the induced emf moves in the same direction as the current
Answer:
(3) mass-energy must be conserved
Explanation:
As we know that gamma rays are mass less and charge less photons which will have sufficient energy.
Now in case of Pair production the gamma photons convert its whole energy into mass by the law of Einstein's mass energy equivalence relation.
As per his relation we can say
here we will have
[tex]\Delta m[\tex] = mass produced
now we also have to think that here the two particles must have a pair of particles and antiparticles so that the combined mass system will have energy equivalent to the energy of gamma photons and also it must follow the conservation of charge
So here it will form an electron and a positron such that total charge will be zero and the energy will be same as energy of gamma photon.