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matrenka [14]
3 years ago
13

The train departed 100 meters in 10 seconds How far has the train gone in the last 2 seconds

Physics
1 answer:
zzz [600]3 years ago
5 0

Answer:

20 meters.

Explanation:

Since it went 100 meters in 10 seconds, that means it is going 10 meters per second. In 2 seconds, it must have gone 20 meters, if the speed is constant.

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Read 2 more answers
A coil with an inductance of 2.8 H and a resistance of 12 Ω is suddenly connected to an ideal battery with ε = 89 V. At 0.086 s
Thepotemich [5.8K]

Answer:

The stored energy is 140.7 watt.

The thermal energy is 62.7 watt.

The delivered energy is 203.4 watt.

Explanation:

Given that,

Inductance = 2.8 H

Resistance = 12 Ω

Potential \epsilon_{0}=89\ V

Time = 0.086 s

(a). We need to calculate the energy stored in the magnetic field

Using formula of current

i=i_{max}(1-e^(\frac{-t}{\tau}))

Using formula of energy

U=\dfrac{1}{2}Li^2

On differentiating

\dfrac{dU}{dt}=Li\frac{di}{dt}

\dfrac{dU}{dt}=L\dfrac{d}{dt}(i_{max}(1-e^(\frac{-t}{\tau}))

Again differentiating

\dfrac{dU}{dt}=\dfrac{\epsilon^2}{R}(1-e^{\frac{-t}{\tau}})e^{\frac{-t}{\tau}}

\dfrac{dU}{dt}=\dfrac{\epsilon^2}{R}(1-e^{\frac{-\t\times R}{L}})e^{\frac{-t\times R}{L}}

Put the value into the formula

\dfrac{dU}{dt}=\dfrac{(89)^2}{12}(1-e^{\dfrac{-0.086\times12}{2.8}})e^{\dfrac{-0.086\times12}{2.8}}

\dfrac{dU}{dt}=140.7\ watt

(b). We need to calculate the thermal energy

Using formula of thermal energy

P=i^2R

P=\dfrac{\epsilon^2}{R}(1-e^{\frac{-t}{\tau}})^2

Put the value into the formula

P=\dfrac{89^2}{12}(1-e^{\dfrac{-0.086\times12}{2.8}})^2

P=62.7\ Watt

(c). We need to calculate the delivered energy by the battery

Using formula of energy

P'=P+\dfrac{dU}{dt}

P'=62.7+140.7

P'=203.4\ watt

Hence, The stored energy is 140.7 watt.

The thermal energy is 62.7 watt.

The delivered energy is 203.4 watt.

5 0
3 years ago
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