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Answer:
A magnetic field pulls and pushes electrons in certain objects closer to them, making them move. Metals like copper have electrons that are easily moved from their orbits. If you move a magnet quickly through a coil of copper wire, the electrons will move - this produces electricity.
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Answer:
0.392
Explanation:
Mm = 0.11Me
Rm = 0.53Re
g = GM / r^2
G = 6.67 * 10^-11
gmars = (G * 0.11Me) / (0.53Re)^2
Recall:
gearth = GMe /Re^2
Hence, gmars in terms of gearth equals
gmars = gearth * (0.11 / 0.53^2)
gmars = gearth * 0.3915984
gmars = 0.392gearth
The length of copper wire this motorcyclist must use is equal to 8.56 meters.
<u>Given the following data:</u>
- Voltage of the motorcycle, V = 12 V
- Diameter of the copper wire, d = 0.25 mm
- Current in the wire, I = 4.0 A
Radius, r = diameter/2 = 0.12.5 mm = 0.000125 m.
Resistivity of the copper wire, ρ = 1.72 × 10⁻⁸ Ω-m.
<h3>How to determine the
resistance?</h3>
By applying Ohm's law, the resistance of this copper wire can be calculated by using this formula:
R = V/I
R = 12/4
Resistance, R = 3 Ohms.
Mathematically, the resistance of any conductor (wire) in terms of length is given by this formula:
Length = RA/ρ
Length = Rπr²/ρ
Length = [3 × 3.142 × (0.000125)²]/1.72 × 10⁻⁸
Length = 14.73 × 10⁻⁷/1.72 × 10⁻⁸
Length = 8.56 meters.
Read more on resistance and length here: brainly.com/question/13930397
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For this problem, we combine the concepts learned in physics and in calculus. The velocity, by definition, is the total distance travelled per time elapsed. It can also be expressed in Δx/Δt, This is also a definition in calculus where dx/dt is equal to velocity. Therefore, to solve the velocity, differentiate the equation in terms of t.
x = 2 cos(10t)
dx/dt = 2*(-sin(10t))*(10)
dx/dt = -20sin (10t)
We are asked to find the velocity at 0.40 seconds. Thus, we substitute t = 0.40 to the equation
dx/dt = -20sin(10*0.4)
dx/dt = v = -1.395 m/s
Therefore, the velocity at t=0.04 seconds is -1.395 m/s. The negative sign connotes that the direction of the motion is south or to the left based on the sign convention.