Question

a pump lifts 100kg of water to a tank 35 m above the ground . if it takes 20 s to lift the water , calculate the power of the pump .( g = 10 m/s2)​

Answer 1

Answer:

1,750 W

Explanation:

Given:

• Mass of water (m) = 100 kg
• Height (h) = 35 m
• Time (t) = 20 sec
• Acceleration due to gravity (g) = 10 m/s²

To find:

• Power of pump (P) = ?

Solution:

We remember that, Power = (Work or energy) ÷ Time.

We also remembers that,

Work done = Fs

Where, F = force applied in Newton

s = Height or distance covered in meters.

We also know that, Force = Weight of an object = mg

Where, m = mass of object

g = acceleration due to body.

________________________________

Let's first find the force applied then we will find the work done and then power, that's our approach !

⇒ F = mg

⇒ F = 100 × 10

⇒ F = 1000 N

So, the force applied = 1000 Newton.

⇒ Work done = Force × Displacement covered

⇒ Work done = 1000 × 35

⇒ Work done = 35,000 J

Thus, the work done = 35,000 Joules.

Now, the final step.

⇒ Power = Work done ÷ Time

⇒ Power = 35,000 ÷ 20

⇒ Power = 1750 W

Therefore, the power of pump = 1,750 Watt.

Answer 2

$\huge{\underline{\mathtt{\red{H}\pink{E}\green{L}\blue{L}\orange{O}}}}$

We remember that, Power = (Work or energy) ÷ Time.

$\colorbox{pink}{We also remembers that,}$

Work done = Fs

Where, F = force applied in Newton

s = Height or distance covered in meters.

We also know that, Force = Weight of an object = mg

Where, m = mass of object

g = acceleration due to body.

________________________________

Let's first find the force applied then we will find the work done and then power, that's our approach !

⇒ F = mg

⇒ F = 100 × 10

⇒ F = 1000 N

$\colorbox{yellow}{So, the force applied = 1000 Newton.}$

⇒ Work done = Force × Displacement covered

⇒ Work done = 1000 × 35

⇒ Work done = 35,000 J

$\colorbox{purple}{Thus, the work done = 35,000 Joules.}$

Now, the final step.

⇒ Power = Work done ÷ Time

⇒ Power = 35,000 ÷ 20

⇒ Power = 1750 W

$\colorbox{skyblue}{Therefore, the power of pump = 1,750 Watt.}$