Physics task?

The forklift's electric motor is powered by a 36 V battery. When it lifts the package shown in the picture, the current in the supply line is 21.1 A.

What is the mass of the package in kg if it is lifted 1.5 m in 1.5 s and the overall efficiency of the energy transfer is 0.7?

Note: First calculate the electrical energy supplied and from this the lifting work used!

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TimoNuernberg
2 years ago

To determine the mass of the package, we first have to calculate the supplied electrical energy and then the used lifting work.

Electrical energy supplied:

P = U * I = 36 V * 21,1 A = 756.6 W

Used lifting work:

W = P * t * η = 756.6 W * 1,5 s * 0,7 = 1014.33 J

Since the lifting work is the work used on the package to lift it, we can calculate the mass of the package by sharing the lifting work through the gravity acceleration (g) and the height (h) to get the work per kilogram:

m = W / (g * h)

g = 9.81 m/s^2

h = 1,5 m

m = 1014.33 J / (9.81 m/s^2 * 1.5 m) = 68.29 kg

The mass of the package is thus 68.29 kg.