Motion problem - Shock drop ride

AI Thread Summary
The discussion revolves around a physics problem involving a theme park ride that ascends and then drops. The ride's carriage, with a total mass of 750 kg, rises before dropping at an acceleration of 10 m/s² for a distance of 3.5 m. Participants are trying to determine the duration of free fall before the brakes are applied. Key equations mentioned include v = u + at and s = 1/2(u + v)t, though contributors express uncertainty about how to start the calculations. The conversation emphasizes the need to apply these formulas to solve the problem effectively.
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Homework Statement


a ride at a them park is a vertically ascending/decending ride. The total mass of the 10 person carriage is 750kg (people included). the ride rises up to the top of the ride until stationary waits for 2 seconds and then drops at a rate of 10ms-2 for 3.5m. when near the bottom of the ride, the carriages brakes are applied for 0.8m.

a) how long is the carriage in freefall until the brakes are applied?

Homework Equations


not too sure, but i think you'll probably require:
v=u+at
s=1/2(u+v)t


The Attempt at a Solution


to be honest, i have no idea where to begin :eek:
thanks
 
Last edited:
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hello,I suppose you'ld not need most of the data given.
We can assume g=10ms^{-2}

now we know distance covered,the acceleration,the initial velocity.
Just put in formulas
 
Last edited:
Thread 'Variable mass system : water sprayed into a moving container'

Thread 'Variable mass system : water sprayed into a moving container'

Starting with the mass considerations #m(t)# is mass of water #M_{c}# mass of container and #M(t)# mass of total system $$M(t) = M_{C} + m(t)$$ $$\Rightarrow \frac{dM(t)}{dt} = \frac{dm(t)}{dt}$$ $$P_i = Mv + u \, dm$$ $$P_f = (M + dm)(v + dv)$$ $$\Delta P = M \, dv + (v - u) \, dm$$ $$F = \frac{dP}{dt} = M \frac{dv}{dt} + (v - u) \frac{dm}{dt}$$ $$F = u \frac{dm}{dt} = \rho A u^2$$ from conservation of momentum , the cannon recoils with the same force which it applies. $$\quad \frac{dm}{dt}...
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