How Does a Fly Impact the Speed of a Moving Car?

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AI Thread Summary
A stationary fly weighing 0.195 grams collides with a moving car weighing 1375 kg, traveling at 116 km/h, and sticks to the windshield. The calculation for the change in speed involves applying momentum equations, but the initial attempt yielded an incorrect result. Participants in the discussion emphasize the importance of not providing direct answers but instead guiding the student through the problem-solving process. The conversation highlights the need for careful attention to detail in calculations and the application of physics principles. Ultimately, the focus remains on understanding the underlying concepts rather than simply finding the solution.
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Homework Statement

A stationary 0.195 gram fly encounters the windshield of a 1375 kg automobile traveling at 116 km/h, and sticks to it. What is the change in speed of the car due to the fly

Homework Equations

V(1f)=(m1-m2/m1+m2)V(1i)+ (2m2/m1+m2)V(2i)

The Attempt at a Solution

1374.99/1375.00=(.9999x116) +0=115.998 116-115.98=0.00116 but its telling me that's wrong...
 
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<< solution deleted by Moderators >>
 
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i kinda see what you're doing and it seems similar to what i was doing but i don't see where u got some of your numbers
 
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lendav_rott said:
<< solution deleted by Moderators >>

Please do not do students' homework for them here on the PF. Please instead provide hints, ask questions, find errors in their work, etc. That's made pretty clear in the Rules link at the top of the page.
 
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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