Answer:
The momentum before is equal to the momentum after
Explanation:
It is equal and should level out in an equation.
Answer:
The speed of the laser light in the cable, 
Explanation:
It is given that,
Wavelength of Argon laser, 
Refractive index, n = 1.46
Let
is the speed of the laser light in the cable. The speed of light in a medium is given by :



or

So, the speed of the laser light is
. Hence, this is the required solution.
Let's apply an equation of equilibrium to the situation: The sum of the moments about the left end of the board must equal 0.
We have three moments to add. Positive force values indicate upward direction and negative values indicate downward direction. All distances given below are measured to the right side of the left end of the board:
- The weight of the board, -125N, located at 2m (center of the board due to its uniform density)
- The tension in the right chain, +250N, located at 4m
- The weight of the person, -500N, located at a distance "x"
The sum of the moments must equal 0 and is given by:
ΣFx = 0
F is the magnitude of force, x = distance from the left end of the board
Plug in all of the force and distance values and solve for x:
ΣFx = 250(4) - 125(2) - 500x = 0
500x = 750
x = 1.5m
Answer:
The velocity with which the 5.0 kg dog has to run to have the same momentum as the 30 kg pig walking at 3.0 m/s is 18 m/s
Explanation:
Given that the mass of the dog = 5.0 kg
The mass of the pig = 30 kg
The speed with which the pig is walking = 3.0 m/s
We have that linear momentum = Mass × Velocity
Therefore, the momentum of the pig, m₁ = 30 kg × 3.0 m/s = 90 kg·m/s
m₁ = 90 kg·m/s
The momentum of the dog m₂ = Mass of the dog × Velocity of the dog
Given that m₁ is to be equal to m₂, we have;
m₁ = 90 kg·m/s = m₂ = Mass of the dog × Velocity of the dog
90 kg·m/s = m₂ = 5.0 kg × Velocity of the dog
m₂ = 5.0 kg × Velocity of the dog = 90 kg·m/s
5.0 kg × Velocity of the dog = 90 kg·m/s
Velocity of the dog = 90 kg·m/s/(5.0 kg) = 18 m/s
The velocity with which the 5.0 kg dog has to run to have the same momentum as the 30 kg pig walking at 3.0 m/s = 18 m/s.
Explanation:
Given that,
Radius = 10.5 cm
Magnetic field = 0.117 T
Time = 0.243 s
After stretched, area is zero
(I). We need to calculate the magnetic flux through the loop before stretched
Using formula of magnetic flux


Where, B = magnetic field
r = radius
Put the value into the formula


(II). We need to calculate the magnetic flux through the loop after stretched

Here, A = 0

So, The magnetic flux through the loop after stretched is zero.
(III). We need to calculate the magnitude of the average induced electromotive force
Using formula of the induced electromotive force




Hence, This is the required solution.