How Far Apart Will the Teddy Bears Land on the Ground?

  • Thread starter Thread starter perfectlovehe
  • Start date Start date
AI Thread Summary
The discussion centers on a physics problem involving three boys dropping their teddy bears from a Ferris wheel. The wheel has a diameter of 14.0 m and a speed of 1.0 m/s, with the boys seated 45° apart. When the second boy reaches the maximum height, they drop their bears, prompting a calculation of the landing distances between the bears. The initial velocities of the bears and their trajectories must be determined using kinematic equations. The goal is to find the distances between the bears upon landing based on their release conditions.
perfectlovehe
Messages
8
Reaction score
0
At a county fair, a boy and two friends bring their teddy bears on the giant Ferris wheel. The wheel has a diameter of 14.0 m, the bottom of the wheel is 1.9 m above the ground and its rim is moving at a speed of 1.0 m/s. The boys are seated in positions 45° from each other. When the wheel brings the second boy to the maximum height, they all drop their stuffed animals. How far apart will the three teddy bears land? (Assume that the boy on his way down drops bear 1, and the boy on his way up drops bear 3.)
distance between bears 1 and 2:
distance between bears 2 and 3:
 
Physics news on Phys.org
Please use the correct formatting and show your attempt at this question as per PF guidelines.

Jared
 
You know the speed that the boys are moving (and thus the initial velocity of the bears) as well as their relative positions (which will give you the initial velocity vectors). You should be able to use the kinematic equations to solve for the trajectories of the bears once released and thus find how far apart they land.

What are the velocities of each of the boys and the moment they drop the bears?
What equations can you use to find the distance traveled?
 
Still going to need that attempt before I can help you.

Jared
 
TL;DR Summary: I came across this question from a Sri Lankan A-level textbook. Question - An ice cube with a length of 10 cm is immersed in water at 0 °C. An observer observes the ice cube from the water, and it seems to be 7.75 cm long. If the refractive index of water is 4/3, find the height of the ice cube immersed in the water. I could not understand how the apparent height of the ice cube in the water depends on the height of the ice cube immersed in the water. Does anyone have an...
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}...
Back
Top