Challenging question think you're smart enough?

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The discussion presents a physics problem involving two masses, m1 and m2, connected on a frictionless incline. When released, m2 falls 2.5 meters and m1 moves up the incline before being launched as a projectile. Participants are encouraged to solve the problem by showing their work and providing answers. The thread also includes a dismissive comment about doing one's own homework, indicating a mix of engagement and reluctance to assist. The focus remains on the physics concepts of inclines and projectile motion.
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challenging question! think you're smart enough?

here is a very good questioninvolving inclines and projectile motion. please answer in full show your work and answers.

A small mass m1=2.0kg, sits on a frictionless incline attached to a heavy mass m2=10kg. when the system is released, m2 falls 2.5m then sticks to the ground, while m1 travels up the incline and is then launched as a projectile. determine the altitude w.r.t the ground reached by m1. (assume smooth transition as m1 leaves the incline.)
 
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No, I'm not going to fall for that. Do your own homework!
 
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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