Physics, asked by chatterjeetrisha844, 10 months ago

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Answered by nirman95
3

Answer:

Given:

Velocity of car = 10 m/s (final)

Constant Acceleration = 2 m/s²

Mass = 200 kg

Constant Resistance = 50N

To find:

Power exerted by the engine.

Formulas used:

Power = Net Force × Velocity

Calculation:

Force exerted by engine = m × a

=> F = 200 × 2

=> F = 400 N

Net Force = F - (Regarding Force)

=> F" = 400 - 50

=> F" = 350 N

Power exerted by engine

= F" × velocity

= 350 × 10

= 3500 watts

= 3.5 Kilowatts

Answered by ShivamKashyap08
6

Answer:

  • Power (P) of the Engine is 3.5 Kilo Watts

Given:

  1. Mass of Vechile (M) = 200 Kg.
  2. Acceleration of Vechile (a) = 2 m/s².
  3. Retardating Force (f) = 50 N.
  4. Velocity of Vechile (v) = 10 m/s.

Explanation:

\rule{300}{1.5}

Applying Newton's Second law of motion,

\large\bigstar \; {\boxed{\tt F = Ma}}

\bold{Here}\begin{cases}\text{F Denotes Force} \\ \text{M Denotes Mass} \\ \text{a Denotes Acceleration}\end{cases}

\large{\boxed{\tt F = Ma}}

Substituting the values,

\large{\tt \hookrightarrow F = 200 \: Kg \times 2 \: m/s^2}

\large{\tt \hookrightarrow F = 200  \times 2}

\large{\tt \hookrightarrow F = 4 \times 100}

\large{\underline{\boxed{\tt F = 400 \: N}}}

Now, Net Force,

\large{\boxed{\tt F_{net} = F - f}}

  • F = Force Applied by vechile.
  • f = Retarding Force.

\large{\tt \hookrightarrow F_{net} = 400 \: N - 50 \; N}

\large{\tt \hookrightarrow F_{net} = 400 - 50}

\large{\underline{\boxed{\tt F_{net} = 350 \: N}}}

\rule{300}{1.5}

\rule{300}{1.5}

We Know, From Instantaneous Power Formula,

\large\bigstar \; {\boxed{\tt P  = F.v}}

\bold{Here}\begin{cases}\text{F Denotes Force} \\ \text{P Denotes Power} \\ \text{v Denotes Velocity}\end{cases}

\large{\boxed{\tt P = F_{net}.v}}

Substituting the values,

\large{\tt \hookrightarrow P = F_{net} \times v}

\large{\tt \hookrightarrow P = 350 \: N \times 10 \: m/s}

\large{\tt \hookrightarrow P = 350 \times 10}

\large{\tt \hookrightarrow P = 3500}

\large{\tt \hookrightarrow P = 3.5 \times 10^3}

\huge{\boxed{\boxed{\tt P = 3.5 \: KW}}}

Power (P) of the Engine is 3.5 Kilo Watts.

\rule{300}{1.5}

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