college physics
posted by Anonymous .
As your bus rounds a flat curve at constant speed, a package with mass .5 kg, suspended from the luggage compartment of the bus by a string 45 cm long, is found to hang at rest relative to the bus, with the string making an angle of 30 degrees with the vertical. In this position, the package is 50 m from the center of curvature of the curve. What is the speed of the bus?

Let T be the tension force in the string.
Apply vertical and horizontal force balances.
T cos 30 = weight = M g
T sin 30 = centripetal force = M V^2/R
Divide one equation by the other. This will eliminate the unknown T
tan 30 = V ^2/(Rg)
Solve for V 
Thanks!
My answer was 16.8 m/s. Is that correct?
Respond to this Question
Similar Questions

grade 11 physics
Cathy takes the bus home from work. In her hand she holds a 2 kg cake box, tied together with a string. As she ascends the steps into the bus,the box accelerates upward at a rate of 2.5m/s^2. what is the force exerted on the string? 
college physics
As your bus rounds a flat curve at constant speed, a package with mass .5 kg, suspended from the luggage compartment of the bus by a string 45 cm long, is found to hang at rest relative to the bus, with the string making an angle of … 
Physics
A bus starts from rest at a bus stop and accelerates at a rate of 1.12 m/s^2 for 11.0s. It runs at constant speed for 80.0 s and slows at a rate 1.20 m/s^2 until it stops at the next bus stop. (a) What is the maximum speed attained. … 
Physics
As your bus rounds a flat curve at constant speed, a package with mass 0.300 , suspended from the luggage compartment of the bus by a string 46.0 long, is found to hang at rest relative to the bus, with the string making an angle of … 
physics
You are riding in a school bus. As the bus rounds a flat curve at constant speed, a lunch box with a mass of 0.470 suspended from the ceiling of the bus by a string of length 1.85 is found to hang at rest relative to the bus when the … 
AP Physics
Jack is 12m from the bus and is running towards the bus at a constant 4.0m/s. If the bus accelerates away from the bus stop at .8m/s^2, can he catch the bus? 
Physics? clueless on what to do
Jack is 12m from the bus and is running towards the bus at a constant 4.0m/s. If the bus accelerates away from the bus stop at .8m/s^2, can he catch the bus? 
physics
As your bus rounds a flat curve at constant speed, a package with mass 0.900 , suspended from the luggage compartment of the bus by a string 46.0 long, is found to hang at rest relative to the bus, with the string making an angle of … 
Physics
You are riding in a school bus. As the bus rounds a flat curve at constant speed, a lunch box with a mass of 0.550 suspended from the ceiling of the bus by a string of length 1.77 is found to hang at rest relative to the bus when the … 
physics
a bus is travelling on a horizontal road at a velocity of 126 km/h when the bus driver notices an object in the road. the brakes are applied and the bus is brought to rest over a distance of 150m. the frictional resistance is 2500n …