course Ho.ne of Laws of Motion-Microsolt Edge Applications of Laws of Motion Pro

Question

course Ho.ne of Laws of Motion-Microsolt Edge Applications of Laws of Motion Problem 5.118 90370243 ign in fr ( Part A Constants A physics major is working to pay his college tuition by performing in a traveling carnival. He rides a motorcydle inside a holow transparent plastic sphere. After gaining sufficient speed, he travels in avertical de with a radius of 150m The What minimum speed must he have at the top of the circle if the tires of the motorcycle are not to lose contact with the sphere? physics major has a mass of 64.0 kg, and his motorcycle has a mass of 40 0 kg m/s Submit Part B A the bottom of the circle his speed is twice the value calculated in part A What is the magnitude of the normal force exerted on the motorcycle by the sphere at this point? 7326 PR

Explanation / Answer

The centripetal acceleration is equal to the acceleration due to gravity:

ac = (v2 / r) = mg / m

v2 / r = g

v = (g*r)

Plugging in g = 9.81 and r = 15.0 m

we get the minum speed to be:

v = (9.81*15.0) = 12.13 m/s

B) N is our normal force and mg is our force due to gravity

Vo = Vtop

Vo2 / r = g

ac = (Vo)2 /r = 4Vo2 / r = 4g

(N-mg) / m = ac = 4g

N/m = 4g +g

N = 5mg

N = 5* (64 kg + 40 kg) * 9.8

N = 5096 Newtons

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