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cindy exerts a force of 40 newtons and moves a chair 6 meters. her brother andy pushes a different chair for 6 meters while exerting a force of 30 newtons. andy does work than cindy. the difference of their amounts of work is nm.

Verified Answer :

HomertheGenius

Work formula:
W = F d
F 1 = 40 N, d 1 = 6 m;
F 2 = 30 N; d 2 = 6 m.
W ( Cindy ) = 40 6 = 240 Nm
W ( Andy ) = 30 * 6 = 180 Nm
The difference of their amounts if work:
240 Nm - 180  Nm = 60 Nm

Answer:

The difference of their amounts of work is 60 Nm.

Explanation:

Given that,

Force exerted by Cindy = 40 N

Distance = 6 m

Force exerted by her brother = 30 N

Distance = 6 m

We need to calculate the work done by Cindy

Using formula of work done

\(W=F\cdot d\)

Put the value into the formula

\(W_{c}=40\times6\)

\(W_{c}=240\ Nm\)

We need to calculate the work done by her brother

Using formula of work done

\(W=F\cdot d\)

Put the value into the formula

\(W_{b}=30\times6\)

\(W_{b}=180\ Nm\)

We need to calculate the difference of their amounts of work

The difference of work done is

\(W=W_{c}-W_{b}\)

Put the value into the formula

\(W=240-180\)

\(W=60\ Nm\)

Hence, The difference of their amounts of work is 60 Nm.

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