Question

A car of weight 20000 newton climbs up a hill at a steady speed 8m/s in 100 seconds. Calculate the work done by the car and the power of engine of the car.

Answer 1

Answer:

Given:

Weight of car = 20000 N

Speed of car = 8 m/s

time = 100 sec

To find:

work done and power of the engine

Calculation:

Displacement = velocity × time

=> D = 8 × 100

=> D = 800 m

Now,

work done = force × displacement

=> W = 20000 × 800

=> W = 16 × (10 ^6) J

=> W = 16000 KJ.

Power = work /time

=> P = 16 × ( 10^6)/100

=> P = 16 × (10^4) watt

=> P = 160 kilo watt.

Answer 2

Question :-

Given above ↑

Answer :-

→(1) Work done is 16000 kilo joule .

→(2) Power of engine is 160 kilo watt.

To Find :-

(1) Work done by car .

(2) power of engine of car .

Formula used :-

$\star \sf{work \: done \: = force \times displacement} \\ \\ \star \sf{power = \frac{work}{time} }$

Step - by - step explanation :-

Given that ,

• Weight of car(m)=20000 Newton
• velocity of car (v) = 8 m/s

• time (t) = 100 s

$olution :-

Firstly calculate displacement for find work done ,

Let displacement is "d",

$\rightarrow \sf{ v \: = \frac{d}{t} } \\ \\ \rightarrow \sf{ d = vt} \\ \\ \rightarrow \sf{ d \: = 8 \times 100} \\ \\ \rightarrow \sf{ d \: = 800 \: m}$

Hence displacement is 800 m,

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Hence work done (w)↓

$\rightarrow \sf{ w \: = 20000 \times 800} \\ \\ \rightarrow \boxed{ \sf{ w \: = 16000 \: kj}}$

Now for power (p)

$\rightarrow \sf{ p = \frac{w}{t} } \\ \\ \rightarrow \sf{p = \frac{16000}{100} } \\ \\ \rightarrow \boxed{\sf{p = 160 \: k \: watt}}$

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