An Update on 1.2 :
F_friction=kρ_atm Av^2=4kρ_atm πR_M^2 v^2=m_M dv/dt
Solve for dt
dt=m_M/(4kρ_atm πR_M^2 v^2) dv
integrate both sides from 0.90v_M to v_M
∫ m_M/(4kρ_atm πR_M^2 v^2 ) dv = t
t= (0.00884194m_M)/(kρ_atm R_M^2 v_M )≈0.21925 seconds
Homework Statement
http://ipho2013.dk/ipho2013-theoretical-problem-1.pdf
The Attempt at a Solution
Are those correct?
1.1: Velocity in the x direction : v_x=ω_x r=(π*(θ_2-θ_1)*r/180)/Δt r
Velocity in the y direction : v_y = ω_y r=(π*θ'_1-θ'_2)*r/180)/Δt
Then...
Homework Statement
A 108 m long train starts from rest (at t = 0) and accelerates uniformly. At the same time (at t = 0), a car moving with constant speed in the same direction reaches the back end of the train. At t = 12 s the car reaches the front of the train. However, the train continues...
R is the range and x is the distance of the launch point from the first vertical
I'm not sure if this is correct because time is against me but i'll try.
let y=c
c=V_csinθt-0.5gt^2 ?
OR
Edit:
Sinθ_c = c/v_c
v_c= c/sinθ_c
You're right our professor just gave us that hint.
PS: I'm really lost in this problem, i posted a solution but nobody has replied yet, I'm thinking about solving for θ from the maximum height equation then substituting it in the equation i posted, then use calculus (which i have no idea about).
Sorry for the late reply, I contacted my professor and he said no rolling is allowed, the ball should aim not to touch the roof at all if only extremely lightly.
R=v_ocosθ/g∗(v_osinθ+√(v_o^2sin^2θ)) [tex]
[tex] -a^2 +2ac +b^2 -c^2 +x = v_ocosθ/g∗(v_osinθ+√(v_o^2sin^2θ))
Actually i...
Homework Statement
What is the minimum velocity required to throw a ball over a house with a pitched roof ( See attachment for the figure) You can choose the throwing point as needed
The Attempt at a Solution
(Choose throwing point standing near a and facing left) Assuming b is...