An 80-mile trip is represented on a gridded map by a directed line segment from point M(3, 2) to point N(9, 13). What point represents 60 miles into the trip? Show your work and explain your reasoning.
Answers
Answer:
inner 5.12 - 4 into 5 upon 12 - 3 x is equal to 5 upon 12 ki 5 the value of Axiswhen key K is closed, excess charge is maintained by the continuous flow of current.
When key K is open, there is excess charge built up at both ends of the rods.
When key K is closed, excess charge is maintained by the continuous flow of current.
(c)
Magnetic force is cancelled by the electric force set-up due to the excess charge of opposite nature at both ends of the rod.
(d)
Retarding force exerted on the rod, F=IBl
I=e/R=9×10
−3
/9×10
−3
=1A
so, F=1×0.5×0.15=75×10
−3
N
(e)
Retarding force, F=BIl
where, I=e/R=1A
so, F=75×10
−3
N
Also, Power P=Fv=75×10
−3
×0.12=9mW
(f)
Power dissipated = I
2
R=9mW
The source of this power external agent.
(g)
Zero. As, in this case, no emf is induced in the coil because the motion of the rod does not cut across the field lines.metallic rod MN of length l = 80cm, kept in a uniform magnetic field of flux density B=0.5T,
on two parallel metallic rail P and Q. calculate the emf that will
be induced between its two ends, when it is moved towards right
with a constant velocity V of 36km
Step-by-step explanation:
Given :-
An 80-mile trip is represented on a gridded map by a directed line segment from point M(3, 2) to point N(9, 13).
To find :-
What point represents 60 miles into the trip?
Solution :-
Given that :-
An 80-mile trip is represented on a gridded map by a directed line segment from point M(3, 2) to point N(9, 13).
So the distance between two points M and N is 80 miles
MN = 80 miles
Let the point between M and N be P(x,y) which represents 60 miles in the trip
MP = 60
MP/MN= 60/80
=> MP / MN = 3/4
=> MP/(MP+PN) = 3/4
=> 4MP = 3(MP+3PN)
=> 4MP = 3MP+3PN
=> 4MP-3MP = 3 PN
=> MP = 3PN
=> MP/PN = 3/1
=> MP : PN = 3:1
Let m1:m2 = 3:1 => m1 = 3 and m2 = 1
Let (x1, y1) = M(3,2) => x1 = 3 and y1 = 2
Let (x2, y2) = N(9,13) => x2 =9 and y2 = 13
We know that
The coordinates of the point which divides the linesegment joining the points (x1, y1) and (x2, y2) in the ratio m1:m2 is P(x,y)
( { m1x2+m2x1}/(m1+m2) , {m1y2+m2y1}/(m1+m2) )
On Substituting these values in the above formula
=> ( {(3)(9)+(1)(3)}/(3+1) , {(3)(13)+(1)(2)}/(3+1) )
=> ( {27+3}/4 , {39+2}/4 )
=> (30/4 , 41/4)
=> (15/2 , 41/4)
=> P(x,y) = (15/2,41/4)
Answer:-
The required point which represents 60 miles in the trip of 80 miles trip is (15/2,41/4)
Used formulae:-
The coordinates of the point which divides the linesegment joining the points (x1, y1) and (x2, y2) in the ratio m1:m2 is P(x,y)
( { m1x2+m2x1}/(m1+m2) , {m1y2+m2y1}/(m1+m2) )
