29) A load is placed on a 1.5-kg cart. A force of
6.0 N [left] causes the cart and its load to have
an acceleration of 3.0 m/s" [left]. What is the
mass of the load?

Respuesta :

Answer: 0.5 kg
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Weight = mass x gravitational field

          = 6kg x 10N/kg

          = 60N

Weight = mass x gravitational field

          = 70kg x 10N/kg

          = 700N

the pivot will be at the man's foot

Anti-clockwise moment = Clockwise moment.

So, we can substitute, when we find the value of one of the moment - either clockwise or anti-clockwise.

man

Anti-clockwise moment = force x distance

                                      = 700N x 0.9

                                      = 630Nm

load

Anti-clockwise moment= 60x(0.9+0.3)

                                    = 60 x 1.2m

                                    =70Nm

total moment is 702Nm (630+70)

As a result, we now know the moment of the clockwise moment, enabling us to find the upward force.

Moment= force x distance

            = ?N    x 1.3m

702Nm  = ?N x 1.3

divide by 1.3 both side

540N =?N

Force is 540N

Hope this helps!