earth exerts a downward gravitational force of 8.9 n on a cake that is resting on a plate. the plate exerts a force of 11.0 n up

Question

3 years ago

7

ward on the cake, and a knife exerts a downward force of 2.1 n on the cale.

1 answer:

Igoryamba · Answer 1 · 2022-03-25T22:22:41+03:00

See the free-body diagram in attachment. (please rotate it such that N points upward)

Explanation:

The free body diagram (FBD) of an object is a diagram representing all the forces acting on a body. Each force is represented using an arrow, where:

- The length of the arrow is proportional to the magnitude of the force

- The direction of the arrow shows the direction of the force

In this problem, we have 3 forces acting on the cake:

- The force of gravity, downward, of magnitude (mg) (where m is the mass of the cake and g is the acceleration of gravity), equal to 8.9 N

- The force exerted by the knife on the cake, F = 2.1 N, acting downward

- The normal reaction exerted by the plate on the cake, N = 11.0 N, acting upward

The 3 forces are shown in the diagram attached. We also notice that the vector sum of all the forces is zero, in fact:

$F_{net}=11.0-8.9-2.1=0$

This means that the acceleration of the cake is zero, so the cake is in equilibrium.

Learn more about forces and weight here:

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