Forces and Hills: Calculating Force of 1967 Corvette on a 17.5° incline

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To calculate the force required to keep a 1967 Corvette weighing 1390 kg from rolling down a 17.5° incline, the relevant equations involve breaking down the gravitational force into components. The calculated force is approximately 4096.2 N, which is confirmed by another participant as correct. The discussion emphasizes the importance of using free body diagrams to analyze forces effectively. Participants agree on the solution, indicating that the calculations align with expected results. The problem illustrates the application of physics principles in real-world scenarios.
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Homework Statement



Certain streets in San Francisco mane an angle of 17.5 degrees with the horizontal. What force is required to keep a loaded 1967 Corvette of mass 1390kg from rolling down such a street?

Homework Equations




fcosx
fsinx

The Attempt at a Solution


I drew my free body diagran and then broke it into components, Fx and Fy. I got the force to be 4096.2N. I feel like I am missing a step. Can someone please check my work!
 
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That seems right to me.
 
I get 4.1 kN as well. Looks like you did the problem correctly.
 
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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