Answer:
Explanation:
Given that,
Frequency of the radio signal,
It is detected at a pint 2.1 km from the transmitter tower, x = 2.1 km
The amplitude of the electric field is, E = 800 mV/m
Let I is the intensity of the radio signal at that point. Mathematically, it is given by :
is the rms value of electric field,
So, the intensity of the radio signal at that point is . Hence, this is the required solution.
Answer:
Explanation:
initial velocity, u = 25 m/s
distance, s = 55 m
coefficient of static friction = 0.6
coefficient of kinetic friction = 0.3
Let the acceleration is a.
Use third equation of motion
v² = u² + 2as
0 = 25 x 25 - 2 x a x 55
a = 5.68
a = μg
μ = 5.68 / 9.8 = 0.58
so, the coefficient of friction is less then the coefficient of static friction so the antiques are safe.
B. fresnel
C. far-field
D. single slit
The work () done by the friction force between the ramp and the skateboarder is given by .
The workdone by the friction force () can be calculated using the formula for work, which is the product of the force applied () and the displacement (d) over which the force is applied:
In this scenario, the frictionforce works against the skateboarder's momentum down the ramp, therefore it does no good.
Given:
Mass of skateboarder () = 54 kg
Height of the ramp () = 3.3 m
Final velocity () = 6.2 m/s
Coefficient of kineticfriction () between skateboarder and ramp
Acceleration due to gravity (g) =
The normal force () is equal to the weight of the skateboarder:
The displacement (d) is the vertical distance () that the skateboarder descends down the ramp.
Now we can write the expression for the work done by the friction force ():
Substitute the expression for the normal force:
Thus, this expression represents the work done by the friction force between the ramp and the skateboarder in terms of the given variables.
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Your question seems incomplete, the probable complete question is:
A skateboarder with mass ms = 54 kg is standing at the top of a ramp which is hy = 3.3 m above the ground. The skateboarder then jumps on his skateboard and descends down the ramp. His speed at the bottom of the ramp is vf = 6.2 m/s.
Write an expression for the work, Wf, done by the friction force between the ramp and the skateboarder in terms of the variables given in the problem statement.
The momentum of the box with respect to the floor can be found by multiplying its mass by its velocity. When the box is put down on the frictionless skating surface, its velocity becomes zero and its momentum with respect to the floor is also zero.
To find the momentum of the box, we can use the formula:
Momentum = mass x velocity
a. The momentum of the box with respect to the floor is: 5 kg x 5 m/s = 25 kg·m/s
b. When the box is put down on the frictionless skating surface, its velocity becomes zero. So, the momentum of the box with respect to the floor is also zero.
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Answer:
a) Current = 11 mA
b) Energy = 66 mJ
c) Power = 101.54 W
Explanation:
a) Voltage, V = IR
Voltage, V = 6 V, Resistance, R = 550 Ω
Current, I
b) Energy = Current x Voltage = 6 x 0.011 = 0.066 J = 66 mJ
c)
Answer:
W = ½ m v²
Explanation:
In this exercise we must solve it in parts, in a first part we use the conservation of the moment to find the speed after the separation
We define the system formed by the two parts of the rocket, therefore the forces during internal separation and the moment are conserved
initial instant. before separation
p₀ = m v
final attempt. after separation
= m /2 0 + m /2 v_{f}
p₀ = p_{f}
m v = m /2
v_{f}= 2 v
this is the speed of the second part of the ship
now we can use the relation of work and energy, which establishes that the work is initial to the variation of the kinetic energy of the body
initial energy
K₀ = ½ m v²
final energy
= ½ m/2 0 + ½ m/2 v_{f}²
K_{f} = ¼ m (2v)²
K_{f} = m v²
the expression for work is
W = ΔK = K_{f} - K₀
W = m v² - ½ m v²
W = ½ m v²
The principle of conservation of momentum implies that no work is performed by the internal forces during the separation of the space vehicle. This is granted that external forces are ignored and the total momentum and kinetic energy of the closed system remain constant.
The subject you're asking about centers around the principle of conservation of momentum. In the case of this space vehicle, before separation, the momentum of the whole system is given by the product of the mass and velocity, mv. After separation, one piece is at rest, leaving the other piece with momentum mv. As there is no external force, the total momentum does not change, so no work is performed by the internal forces causing the separation.
In more detail, the principle of conservation of momentum states that the total linear momentum of a closed system remains constant, regardless of any interactions happening within the system. The system is 'closed' meaning that no external forces are acting upon it. In this case, the space vehicle and the two smaller pieces it separates into form a closed system. This is consistent with your question's stipulation to ignore external forces, such as gravitational forces.
This can also be understood from the work-energy theorem, which states that the work done on an object is equal to the change in its kinetic energy. If we consider the vehicle before and after the separation, the kinetic energy of the system remains the same: initially all the energy is concentrated in the moving vehicle, and after the separation, all the kinetic energy is transferred to the moving piece while the at-rest piece has none. Therefore, the work done by the internal forces - which would change the kinetic energy - must be zero.
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