physicS IMP PLS
posted by Hil .
Consider a rocket in space that ejects burned fuel at a speed of Vex = 1.5 km/s with respect to the rocket. The rocket burns 5% of its mass in 280 seconds.
(a) What is the speed V of the rocket after a burn time of 140 seconds (in m/s)?
(b) What is the instantaneous acceleration a of the rocket at time 140.0 seconds after start of the engines (in m/s^20)? I have tried to solve, but not been successful. Thanks for your help.

I have tried to solve this problem the following way:
5% mass is burned in 280s.
1.5 km/s = 1500 m/s
u=fuel speed m/s
Solution:
V= u*ln(1/(1p))
1500*ln(1/0.950) = 76.9399416 m/s
a= V/t = 76.9399416/280 = 0.274785506 m/s^2
What is confusing to me what is the speed after 140s and instantaneous acceleration a 140 s after the start of the engines. Thanks for your help. 
THE instantaenous acc is just the acceleration of the rocket

Hi Anonymus, So my question is V= 76.939416 m/s and a=0.2747 m/s^2 correct. Is the other information just trying to through us off? Thanks.

do you know how to solve the ruler question?

no it is wrong!!! he ask you "What is the speed V of the rocket after a burn time of 140 seconds (in m/s)? " that is the half of time and half of % . so ..
1500*ln(1/0.750) = 37.91 m/s
a=v/t=37.91/140=0.27 
sorr that waw
1500*ln(1/0.9750) = 37.91 m/s 
Hi Anonymous, I tried that problem and was unsuccessful. My answer was 8 radians. I knew it was wrong. I put that off to the side. I am just trying to get a passing grade. Thanks for your help. If I learn any thing I will let you know. Also Thanks Greco and everyone who was kind enough to help me out.

always here Hill...if you can help with ruler problem it will pe magnificent

Hi, Greco. To be honest Questions 1 and the ruler are by far the most difficult for me. when I started the test I knew I was in trouble. I saw this approach:
Apply the conservation of energy
U= m*g*h cm
Ek = m*g* (L/2)+0
l=1/3*m*L
Einitial= m*g*(L/2)+0
Efinal= m*g*(2/L)cos30+1/2*L*w^2
Solve for Einitial = Efinal > w =
Maybe you saw this. I hope it helps. 
i know this ,i already done it.thx for the efford!

I=1/3*m*L^2
Eini= mg(L/2) + 0
Efin= mg(L/2)cos30 + 1/2*I*w^2
Eini=Efin >
w=sqrt(3*g (1cos(theta))/L)
b)
alpha=3*mg/2*sin(theta)/L
ax = L/2*sin(theta) w^2 + L/2*cos(theta) alpha
Fx=m*ax
Fy=m*g*cos(theta)m*w^2*(L/2)
c)
cos(theta)=2/3
theta=48.19 
I=1/3*m*L*L?

@Greco I tried it and it workrd for a and c and for Fy but Fx was wrong!why did you use alpha? please help with this question!