Answer:
The magnetic field will be 
, '2d' being the distance the wires.
Explanation:
From Biot-Savart's law, the magnetic field (
) at a distance '
' due to a current carrying conductor carrying current '
' is given by
where '
' is an elemental length along the direction of the current flow through the conductor.
Using this law, the magnetic field due to straight current carrying conductor having current '', at a distance '
' is given by
According to the figure if '
' be the current carried by the top wire, '
' be the current carried by the bottom wire and '
' be the distance between them, then the direction of the magnetic field at 'P', which is midway between them, will be perpendicular towards the plane of the screen, shown by the 
symbol and that due to the bottom wire at 'P' will be perpendicular away from the plane of the screen, shown by 
symbol.
Given 
and 
Therefore, the magnetic field (
) at 'P' due to the top wire
and the magnetic field (
) at 'P' due to the bottom wire
Therefore taking the value of 
the net magnetic field (
) at the midway between the wires will be
Answer:
Explanation:
Given
initial velocity component of engines is
time period of engine running=763 s
Displacement in 
Using 
in x and y direction
In y direction
x component
y component
The recoil velocity of cannon is (4) 5.0 m/s
Explanation:
We can find the recoil velocity from the law of conservation of momentum.
The recoil velocity is velocity of body 2 after release of body 1, i.e. velocity of cannon after release of clown.
Let v2 be cannon's velocity, v1 be clown's velocity given = 15 m/sec
m1 be clown's mass = 100kg and m2 be cannon's mass given = 500kg.
So recoil velocity of cannon v2 is given by,
v2 = -(m1÷m2)v1
v2 = -(100÷500)15
v2 = -5 m/s
where the minus sign refers to the direction of cannon's recoil velocity being opposite to that of clown.
Hence, option (4)5.0 m/s is the correct answer.
Answer:
(a) 
(b) 
Explanation:
mass, m = 2.3 kg
vx = 40 m/s
vy = 75 m/s
(a) Angular momentum is given by
Where, p is the linear momentum and r is the position vector about which the angular momentum is calculated.
Here, 
So, the angular momentum
(b) Here, 
The general equation for the forces acting on the passengers at the topmost point of the ferris wheel is
where
mg is the weight of the passengers
R is the normal reaction of the cabin
is the centripetal force
In order to feel weightless, the normal reaction felt by the passengers should be zero. Therefore, the equation becomes:
or
where
is the angular frequency of the wheel and r is its radius. Since we know its radius,
we can calculate the angular frequency:
From which we find the frequency at which the ferris wheel should rotate:
This is the number of revolutions per second, so the number of revolutions per minute will be
