Question

an energy of 10 kj causes a displacement of 64m in 2.5 sec the power delivered is​

Answer 1

Answer:

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Therefore , power delivered in time 2.5 s is 1600 W

Explanation:

Answer 2

Answer:

Given :-

• An energy of 10 kJ causes a displacement of 64 m in 2.5 seconds.

To Find :-

• What is the power delivered.

Formula Used :-

$\clubsuit$ Power Formula :

$\mapsto \sf\boxed{\bold{\pink{P =\: \dfrac{E}{t}}}}$

where,

• P = Power in Watts
• E = Energy in Joules
• t = Time in seconds

Solution :-

First, we have to convert kJ into J :

$\implies \sf Energy =\: 10\: kJ$

$\implies \sf Energy =\: 10 \times 1000\: J$

$\implies \sf\bold{\green{Energy =\: 10000\: J}}$

Now, we have to find the power delivered :

Given :

• Energy (E) = 10000 J
• Time (t) = 2.5 seconds

According to the question by using the formula we get,

$\bigstar\: \: \sf\bold{\purple{Power =\: \dfrac{Energy}{Time}}}\: \: \bigstar$

$\longrightarrow \sf Power =\: \dfrac{10000}{2.5}$

$\longrightarrow \sf Power =\: \dfrac{10000}{\dfrac{25}{10}}$

$\longrightarrow \sf Power =\: \dfrac{10000}{1} \times \dfrac{10}{25}$

$\longrightarrow \sf Power =\: \dfrac{\cancel{100000}}{\cancel{25}}$

$\longrightarrow \sf\bold{\red{Power =\: 4000\: W}}$

${\small{\bold{\underline{\therefore\: The\: power\: delivered\: is\: 4000\: W\: .}}}}$