How Does Air Resistance Affect Falling Objects?

  • Thread starter Thread starter elitespart
  • Start date Start date
  • Tags Tags
    Energy Theorem
AI Thread Summary
To determine the average force due to air resistance on a 25.0g chunk of ice falling from the CN Tower, one must first calculate the ice's theoretical velocity without air resistance. The difference in kinetic energy (KE) between the two scenarios—one with and one without air resistance—can then be used to find the work done by air resistance. This work can be related to the average force of air resistance by considering the distance the ice fell. Understanding these calculations will help in solving the problem effectively.
elitespart
Messages
95
Reaction score
0
The CN tower in 553m tall. Suppose a chuck of ice w/ a mass of 25.0g falls from the top of the tower. The speed of the ice is 33.0m/s as it passes the restaurant in the tower located 353m above the ground. What is the average force due to air resistance?

I'm having trouble getting started on this problem. I know how to calculate work and change in KE, but how do I use those to get the answer? Any help would be appreciated.
 
Physics news on Phys.org
elitespart said:
The CN tower in 553m tall. Suppose a chuck of ice w/ a mass of 25.0g falls from the top of the tower. The speed of the ice is 33.0m/s as it passes the restaurant in the tower located 353m above the ground. What is the average force due to air resistance?

I'm having trouble getting started on this problem. I know how to calculate work and change in KE, but how do I use those to get the answer? Any help would be appreciated.

You could start by figuring out what the ice's velocity would be without any air resistance.
 
ok now what
 
He's implying to look at the loss in kinetic energy...

Now, how would you calculate the work done by air resistance?
 
find diff. b/w KE w/out air resistance and with air resistance?
 
Last edited:
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}...
I was thinking using 2 purple mattress samples, and taping them together, I do want other ideas though, the main guidelines are; Must have a volume LESS than 1600 cubic centimeters, and CAN'T exceed 25 cm in ANY direction. Must be LESS than 1 kg. NO parachutes. NO glue or Tape can touch the egg. MUST be able to take egg out in less than 1 minute. Grade A large eggs will be used.
Back
Top