How Does Momentum Relate to Gravity in Falling Objects?

AI Thread Summary
The discussion focuses on calculating the acceleration due to gravity for a falling ball with a mass of 2kg and a momentum of 110 kg*m/s. Participants clarify that momentum is not equivalent to force and suggest using the momentum equation p=mv to find the velocity of the ball. Once velocity is determined, basic kinematics equations can be applied to find acceleration. The initial attempt at solving the problem incorrectly applied the force equation F=ma. Ultimately, the correct approach emphasizes using momentum to derive velocity before calculating acceleration.
kevinli
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Homework Statement


A ball with a mass of 2kg is trown off a cliff 30m high and hits the ground with a momentum of 110 kg*m/s^2. What is the acceleration of gravity pulling on the ball?


Homework Equations


F=ma and I'm not sure what else.


The Attempt at a Solution


I probably messed up.
a=F/m
a=110N/2kg
a=55m/s^2
 
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Momentum is not equal to force
p=mv, use this equation to solve it
where p(momentum) is N·s
 
You don't need F=ma.

As Suy said, use p=mv. That'll give you velocity; then just use your basic kinematics equations to find a.
 
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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