Question

A crane lifts a 1,800kg load of scrap metals to a distance of 15m in 20s. How much power is used in delivering the load? Explain with solution pls i need it​

Answer 1

Question:

• A crane lifts a 1,800kg load of scrap metals to a distance of 15m in 20s. How much power is used in delivering the load  

Answer:

• The power consumed in delivering the load is 1,350 watts

Explanation:

Given that:

• The mass of the load of scrap is 1,800 kg
• The  distance they are lifted to is 15 m
• The the taken to do the work is 20 s

To Find:

• The power used in delivering the load

Formula Used:

$\leadsto\; {\pink{\boxed{\bf{ Power = \frac{Work \; done}{Time \; taken } }}}}$

Required Solution:

• Now let's find out the work done first

$\red\bigstar \; {\underline{\underline{\large{\rm{Using \; formula :}}}}}$

• Work done = Force × Displacement

* Note : Force = Mass × Acceleration , Here since the mass is lifted upward so the let's consider the gravitational acceleration here which is 9.8 m/s

Calculations :

$\rm \longrightarrow Work \; done = Force \times displacement$

$\rm \longrightarrow Work \; done = 1800* 9.8 \times displacement$

$\rm \longrightarrow Work \; done = 17,640 \times 15$

$\rm \longrightarrow {\red{\underline{\underline{\rm Work \; done = 264600 \; Jolues }}}}$

~ Now let's calculate the power consumed in doing the work i.e,  delivering the load

Calculations :

$\rm \longrightarrow Power \; consumed = \dfrac{work }{time}$

$\rm \longrightarrow Power \; consumed = \dfrac{26460\cancel0 }{2\cancel0}$

$\rm \longrightarrow Power \; consumed = \dfrac{26460 }{2}$

$\rm \longrightarrow {\red{\underline{\underline{\rm Power \; consumed = 13230 \; watts }}}}$

$\qquad {\underline{\pmb{\sf{Henceforth , The \; power \; consumed \; is \; 13230 \; watts }}}}$

Therefore :

• The power used to deliver the load is 13230 watts

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Answer 2

13230 watts

Step-by-step explanation:

 Given :

    Load = 1800kg

    distance = 15m

    time = 20s

    power = ?

Formula :

• power =  Work done / time taken
• Work done = force x displacement
• Force = mass x acceleration

Solution :

$Force = 1800 * 9.8\\Force = 17640N\\work done = Force * displacement\\Work done = 17640 * 15\\Work done = 264600\\Power = work done / Time taken\\Power = 264600 / 20\\Power = 13230 watts$

Therefore 13230 watts is required