Free Fall Questions Homework: Gravity, Drag, Force & Parachutes

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The discussion addresses the acceleration due to gravity in Winnipeg, noting it is consistent globally at 9.81 N/kg, and suggests testing this with simple tools like a pendulum. It explores how air temperature impacts drag, indicating that warmer air can reduce drag due to lower density. The force experienced by a hand out the window increases with speed, with the relationship being quadratic, meaning the force at 100 km/hr is expected to be four times greater than at 50 km/hr. Regarding parachuting, it is highlighted that different weights require different parachute sizes to ensure safety and achieve appropriate terminal velocities. The larger player would need a significantly larger parachute to accommodate their weight safely.
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Homework Statement



a. Is the downward acceleration value of gravity in Winnipeg acceptable anywhere on Earth? why or why not? How could you test this theory using common technology (no computers)?

b. Does the temperature of air affect the drag on an object? Why or why not?

c. When you drive a car down the highway at 50 km/hr and stick your hand out the window you experience a force. When you are driving at 100 km/hr and stick your (same) hand out the window the force is greater. Explain this phenomenon and state how much larger you expect the force to be.

d. Two football players go skydiving. Assuming one player was a 130 kg OL and one was a 65 kg WR, should both players use the same style of parachute? Why or why not? Comment on safety issues using the concept of terminal velocity. How much bigger must the bigger chute be? Justify!

Homework Equations


The force of gravity in winnipeg is 9.81 N/kg
 
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and so did you try to answer any of these questions?
 
no, i wasn't sure how.
 
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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