Answer:
Explanation:
The electric flux is defined as the multiple of electric field and the area that the electric field passes through, such that
When calculating the electric flux, the angle between the directions of electric field and the area becomes important, especially if the angle is changing with time.
The above formula can be rewritten as follows
where θ is the angle between the electric field and the area of the loop. Note that, the direction of the area of the loop is perpendicular to the plane of the loop.
If the loop is rotating with constant angular velocity ω, then the angle can be written as follows
At t = 0, cos(0) = 1 and the electric flux through the loop is at its maximum value.
Therefore the electric flux can be written as a function of time
Part a
Answer: NO
We need to calculate the distance traveled once the brakes are applied. Then we would compare the distance traveled and distance of the barrier.
Using the second equation of motion:
where s is the distance traveled, u is the initial velocity, t is the time taken and a is the acceleration.
It is given that, u=86.0 km/h=23.9 m/s, t=0.75 s,
Since there is sufficient distance between position where car would stop and the barrier, the car would not hit it.
Part b
Answer: 29.6 m/s
The maximum distance that car can travel is
The acceleration is same,
The final velocity, v=0
Using the third equation of motion, we can find the maximum initial velocity for car to not hit the barrier:
Hence, the maximum speed at which car can travel and not hit the barrier is 29.6 m/s.
Answer:
192000 J or 192 kJ
Explanation:
Work done = Force × distance moved along the direction of force.
From the question,
W = F×d............... Equation 1
Where W = work done by the car, F = Force of the car, d = distance move by the car along the direction of the force.
We can calculate for d using the equation of motion
d = (v+u)t/2..................... Equation 2
Where v = Final velocity of the car, u = Initial velocity of the car, t = time.
Given: u = 12 m/s, v = 0 m/s(skids to a stop), t = 4.0 s
Substitute into equation 2
d = (12+0)4/2
d = 24 m.
Also given: F = 8000 N
Substitute into equation 1
W = 8000×24
W = 192000 J
W = 192 kJ.
Remains the same
Explanation:
According to Gauss's law, the electric flux through a closed surface is proportional to the charge enclosed by the surface. So no matter how big or small we make the surface that encloses the charge, the electric flux remains the same because it only depends on the enclosed charge, not surface area.
You don't. Although tons of stories have been written about it,
and loads of scientific speculation about how it maybe possibly
might be done, it's never been done.