of rocket. Unfortunately, while you are You are painting the inside of an escape

Question

of rocket. Unfortunately, while you are You are painting the inside of an escape pod inside the escape pod disconnects and the rocket leaves without you, The escape pod is 12 meters long. Frustrated, you stand at the front of the and throw 4 kg of paint at the back wall with a speed of 6 m/s. The empty pod has a mass of 200 kg. You have a mass of 80 kg. a) With what speed do you and the escape pod move forward while the paint is in flig a 5) , hold onto a safety strap, (10 Points) b) After the paint splatters on the rear wall, what is the final speed of you, the pod, and the paint combination? (5 Points) How far did you and the pod move forward while the paint was in the air? (5 Points) c)

Explanation / Answer

a. l;ength of pod, L = 12 m

mass of paint can, m = 4 kg

speed of paint can, u = 6 m/s

mass of pod, M = 200 kg

mass of person, m' = 80 kg

let speed of pod + person after the paint is thrown be v

then

from conservation of moemntum

mu = (M + m')v

v = 4*6/(280) = 0.085714 m/s

b. after the paint splaters on the rear wall, final speed = v'

then

(M + m')v - mu = (M + m' + m)v'

v' = 0m/s

c. let the paint can move distance x in time t

so the pod will move distance y

the COM of the system will remian stationery hence

mx = (M + m')y

x = 70y

also x + y = L = 12 m

hence

71y = 12 m

y = 0.169014 m

so the person and the pod moves 0.169 m while the paint was in air

Related Questions

Navigate

• Browse (All)
• Browse O
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.