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brilliants [131]
3 years ago
13

Draw a free-body diagram for the ear of a person properly wearing a mask. You may wish to refer to the figure

Physics
1 answer:
Schach [20]3 years ago
5 0

Answer:

  Rₓ - F cos θ = 0 ,     R_y - Fsin θ - W = 0

Explanation:

For this exercise we have a static equilibrium problem,

       ∑ F =0

In the attachment we have the forces involved, the weight (W) with vertical direction, the force towards the mask (F) and the reaction force of the ear that we will approximate by its vertical and horizontal components (Rₓ and R_y)

Let's use trigonometry to decompose the force F

       sin θ = Fₓ / F

        cos θ = F_y / F

       Fₓ = F sin θ

       F_y = F cos θ

we write the equations of equilibrium

X axis

           Rₓ - F cos θ = 0

Y axis

           R_y - Fsin θ - W = 0

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Even if there were some friction on the ice, it is still possible to use conservation of momentum to solve this problem, but you
hjlf

The problem referred to in this question is missing and it is;

Two hockey pucks of identical mass are on a flat, horizontal ice hockey rink. The red puck is motionless; the blue puck is moving at 2.5 m/s to the left. It collides with the motionless red puck. The pucks have a mass of 15 g. After the collision, the red puck is moving at 2.5 m/s, to the left. What is the final velocity of the blue puck?

Answer:

The condition is that p_f - p_i which is the change in momentum will not be equal to zero but equal to the impulse (Ft).

Explanation:

In the problem described, by inspection, we can say that since there is no friction, we have a closed system and thus momentum is conserved.

Since momentum is conserved, we can say that;

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Now, in this question we are told that some friction wants to be introduced on the ice and it's possible to still use conservation of momentum.

From impulse - momentum theory, we know that;

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Impulse is zero when no force is acting on the ice and we have; 0 = p_f - p_i

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Now, since a force is applied, we know that impulse is; J = F × t

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Ft = p_f - p_i

Where F is the force due to friction.

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