A total work of 3200 J is done to lift a container a distance of 2.40 m. What was the weight of the container? What was the mass

Question

3 years ago

8

of the container, in kilograms?

1 answer:

Diano4ka-milaya [45] · Answer 1 · 2022-09-22T06:03:51+03:00

1) The weight of the object is 1333 N

2) The mass of the object is 136 kg

Explanation:

1)

The work done when lifting an object is equal to the change in gravitational potential energy of the object:

$W=Fd$

where

F is the weight of the object

d is the distance through which the object has been moved

In this problem, we know that

W = 3200 J is the work done

d = 2.40 m is the distance through which the object has been lifted

Solving for F, we find the weight of the object:

$F=\frac{W}{d}=\frac{3200}{2.40}=1333 N$

2)

The weight of an object is given by

$F=mg$

where

F is the weight

m is the mass of the object

g is the acceleration of gravity

In this problem, we know that

F = 1333 N is the weight of the container

$g=9.8 m/s^2$ is the acceleration of gravity

Solving for m, we find the mass of the container:

$m=\frac{F}{g}=\frac{1333}{9.8}=136.0 kg$

Learn more about work:

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