6. [12 pts] A 40 kg object is dropped from rest. It is observed to reach a termi

Question

6. [12 pts] A 40 kg object is dropped from rest. It is observed to reach a terminal speed of 24.5 m/s. (a) Draw a free body diagram of the object showing the forces acting on it as it falls b) Find the b coefficient of the object assuming that air resistance can be modeled as providing a force with a size of b. gravity 0,65 k gm (c) What is the size of the acceleration of the object immediately after it is released? (d) During the first second after release, does the size of the acceleration increase, decrease, or remain constant? decrease (e) During the first second after release, does the speed of the object increase, decrease, or remain constant?increase ( What is the size of the acceleration once the object reaches the terminal speed? 9.8 m/s zero

Explanation / Answer

6. (b) when it reached at terminal velocity,

Fnet = b v^2 - m g = 0

b = (40 x 9.8) / 24.5^2 = 0.653 kg / m

(c) just after it was released.

Fnet = 0 - m g

a = Fnet / m = - g

acc:- 9.8 m/s^2 downwards

(d) now upward force increase.

hence acceleration decreases.

(e) value of acceleration decreases but still it will have acceleration donwwards.

so Speed will increase.

(f) at terminal speed, its speed becomes constant.

a = 0

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