Answer:
Explanation:
Given that,
Radius r = 15cm = 0.15m
Area of the circular loop can be determined using the formula for area of a circle
A = π r²
A = π × 0.15²
A = 0.0708 m²
Magnetic field B = 1.2T in positive z direction
B = 1.2 •k T.
If loop is remove from the field in the time interval
∆t = 2.3ms = 2.3×10^-3s
We want to find the average EMF and it is given as
ε = —∆Φ/∆t
The final flux is zero
Φf = 0
Where magnetic flux is given as
Φi = BA Cosθ
Where θ=0 since the area and the magnetic field point in the same direction.
Φi = BA Cos0
Φi = BA
Φi = 1.2 × 0.0708
Φi = 0.0848 Vs
Then, ε = —∆Φ/∆t
ε = —(Φf — Φi) / ∆t
ε = —(0-0.0848) / (2.3×10^-3)
ε = 0.0848 / (2.3×10^-3)
ε = 36.88 V
The EMF is 36.88 Volts
Answer:
The time required by object to achieve velocity 58 m/s is 5.918 second.
Given:
acceleration = 9.8 
Initial velocity = 0 m/s
final velocity = 58 m/s
To find:
Time required by object = ?
Formula used:
According to first equation of motion is given by,
v = u + at
Where, v = final velocity
u = initial velocity = 0 (Given The particle is at rest initially)
a = acceleration
t = time
Solution:
According to first equation of motion is given by,
v = u + at
Where, v = final velocity
u = initial velocity = 0 (Given The particle is at rest initially)
a = acceleration
t = time
58 = 0 + 9.8 (t)
t = 
t = 5.918 s
The time required by object to achieve velocity 58 m/s is 5.918 second.
<span>32 mph
First, let's calculate the location of the particle at t=1, and t=4
t=1
s = 6*t^2 + 2*t
s = 6*1^2 + 2*1
s = 6 + 2
s = 8
t = 4
s = 6*t^2 + 2*t
s = 6*4^2 + 2*4
s = 6*16 + 8
s = 96 + 8
s = 104
So the particle moved from 8 to 104 over the time period of 1 to 4 hours. And the average velocity is simply the distance moved over the time spent. So:
avg_vel = (104-8)/(4-1) = 96/3 = 32
And since the units were miles and hours, that means that the average speed of the particle over the interval [1,4] was 32 miles/hour, or 32 mph.</span>
42) The sailboat travels east with velocity

, while the current moves south with speed

. Since the two velocities are perpendicular to each other, he resultant velocity will be given by the Pytagorean theorem:

and the direction is in between the two original directions, therefore south-east. So, the correct answer is
D) 42 mph southeast
43) Since the light moves by uniform motion, we can calculate the distance corresponding to one light year by using the basic relationship between velocity, space and time. In fact, we know the velocity:

and the time is one year, corresponding to:

therefore, the distance corresponding to one light year is:

Therefore, the correct answer is D.
44) For the purpose of the problem, we can assume that the light travels instantaneously from the flash to us (because the distances involved are very small), so the time between the flash and the thunder corresponds to the time it took for the sound to travel to us.
The speed of sound is

And since the time between the flash and the thunder is t=3 s, the distance is

Therefore, the correct answer is A) 3/5 mile.