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pochemuha
3 years ago
10

Two railroad cars, each of mass 6500 kg and traveling 80 km/h in opposite directions, collide head-on and come to rest. how much

thermal energy is produced in this collision?
Physics
1 answer:
n200080 [17]3 years ago
8 0
This problem can be assume that the two railroad cars are moving  toward each other, and not in opposite direction, because of the condition of an head collision.

Given: Mass of Car₁ = 6,500 Kg;  Mass of Car₂ = 6,500 Kg

           Velocity of each Car  V = 80 Km/h or 22.22 m/s

 Required: Thermal energy or Total Kinetic energy

Formula: K.E = 1/2 MV²

Solution: Total Kinetic energy or  Tke  = (1/2 MV²)car₁ + (1/2 MV²)car₂

Tke = 1/2 (6,500 Kg)(22.22 m/s)² + 1/2 (6,500 Kg)(22.22 m/s)²

Total Thermal energy or Tke = 3,209 Joules
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An AC generator consists of 20 circular loops of wire with an area of 75 cm2. It has a maximum induced voltage of 24 V. If its a
Monica [59]

Faraday's law allows us to find the magnetic field that produces the emf in the rotating system is:

  • The magnetic field is:  B = 0.424 T

Faraday's law of induction states that when the magnetic flux changes in time, an induced electromotive force is produced.

            fem = - \frac{d \Phi_B }{dt}  

where fem is the induced electromotive force and Ф the flux,

The magnetic flux is the scalar product of the field and the area.

           \Phi_B = B . A = B A  \ cos \theta  

In this case we have several turns, so the expression remains.

           fem = - N B A \ \frac{d cos \theta}{dt}  

Indicate that the turns rotate at a constant frequency, therefore we can use the uniform rotational motion ratio.

           

           θ = w t

We substitute

 

         fem = - N B A \ \frac{d \ cos \ wt}{dt}\\fem =  N B A w sin \ wt

the maximum induced electromotive force occurs when the sine function is ±1

          fem = N B A w

They indicate that the fem = 24 V, the number of the turn is N = 20, the area is A = 75 cm² = 75 10⁻⁴ m² and the frequency f = 60 Hz

Frequency and angular velocity are related.

           w = 2π f

We substitute.

           fem = N B A 2π f

           B = \frac{fem }{2 \pi \ NA \ f}  

Let's calculate.

         B= \frac{24 }{2\pi \ 20 \ 75 \ 10^{-4} 60}B = 24 / 2pi 20 75 10-4 60

         B = 0.424 T

In conclusion, using Faraday's law we can find the magnetic field that produces the emf in the rotating system is:

  • The magnetic field is; B = 0.424 T

Learn more about Faraday's law here:  brainly.com/question/24617581

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One hazard of space travel is the debris left by previous missions. There are several thousand objects orbiting Earth that are l
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F = 6666.7 N

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Given that,

Mass of a chip, m = 0.1 mg

Initial speed, u = 0

Final speed,v=4\times 10^{3}\ m/s

Time of collision,t=6\times 10^{-8}\ s

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Force, F = ma

Put all the values,

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So, the required force is 6666.7 N.

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