High School

A crane lifts a package with a mass of 95.5 kg. If the power output of the crane is 112 watts, at what speed can the package be lifted in m/s?

a) 1 m/s
b) 2 m/s
c) 3 m/s
d) 4 m/s

Answer :

Final answer:

The package can be lifted at a speed of approximately 0.1197 m/s.

Explanation:

To find the speed at which the package can be lifted, we can use the formula:

Power = Force × Speed

Since the power output of the crane is given as 112 watts, we can rearrange the formula to solve for speed:

Speed = Power / Force

Using the given mass of the package (95.5 kg) and the acceleration due to gravity[tex](9.8 m/s^2)[/tex]culate the force:

Force = mass × acceleration due to gravity

Substituting the values into the equation, we have:

[tex]Force = 95.5 kg × 9.8 m/s^2 = 935.9 N[/tex]

Now we can calculate the speed:

Speed = 112 watts / 935.9 N ≈ 0.1197 m/s

Therefore, the package can be lifted at a speed of approximately 0.1197 m/s.

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