Question

Calculate the power output of a machine that lifts a 30.0 kg crate through a height of 20.0m in two minutes.

Answer 1

QuEstion:—

★Calculate the power output of a machine that lifts a 30.0 kg crate through a height of 20.0m in two minutes.

AnswEr:—

The power output of the machine is 49 J/s.

SteP By SteP ExplainaTion:—

$\underline{\underline{\mathfrak{Given:}}}$

• Mass(m) = 30 kg
• Height (h)=20 m
• Time = 2 min = 2×60 s= 120 s
• acceleration due to gravity (g)= 9.8 m/s²

$\underline{\underline{\mathfrak{To \:Find:}}}$

• Power of machine (P)= ?

$\underline{\underline{\mathfrak{Solution:}}}$

As we know;

Potential energy = mgh

putting the values;

→ 30×20×9.8

→ 2950×20

→ 5880 J

Now, power = work done/time taken

Or power = energy/time taken

So,

Power = 5880/120

Power = 49 J/s