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Unformatted text preview: 1 Work & Kinetic Energy F m vi d F m vf Work inetic inal K gy F Ener itial Kinetic In Energy Work m F ∆x
F m θ Fcosθ ∆x Work with a Variable Force Work = F∆x This is true if F is constant. If F is not constant. Work = ∫ Fdx F F
x Fs
x FS x Conservation of Energy
Types of Energy E = K + U + TE E’ = K’ + U’ + TE’ Work & Gravitational Potential Energy F A h v B h A Conservative Gravitational Field v B h A Sample Problem 1 h B v v = 8.8 m/s h = 9.00 m v=? v’ = ?
h Sample Problem 2
v’
.5h v A B C v = 13.2 m/s v’ = 9.39 m/s Sample Problem 88 A circus beagle of mass m = 6.0 kg runs onto the left end of a curved ramp with speed v0 = 7.8 m/s at height y0 = 8.5 m above the floor. It then slides to the right and comes to a momentary stop when it reaches a height y = 11.1 m above the floor. The ramp is not frictionless. What is the increase ∆ T in the thermal energy of the beagle and ramp because of the sliding? ∆T ≈ 30 J Sample Problem 88 (cont)
Suppose the ramp was frictionless. What would be the speed, v, of the beagle when it reached the height of 11.1 m? v = 3.1 m/s A girl on a bike starts at rest from position A and does the loop the loop. The girl and bike have a mass of 60.0 kg and r = 4.00 m. a) What is the minimum value of h such that the girl and bike just stay on the track at position B? If a boy and bike (mass 120 kg) were to make the loop, what would be the minimum h? Loop the Loop Problem A v h B r
At position B it must be true that b) h = 10.0 m A mass m at rest is released from position A and swings as shown and just makes it to position B where it is moving at velocity B. a) What is the minimum value of h such that the mass just stays moving in a circle of radius r at position B? If r = 40.0 cm, what is the value of h? A v h B r
At position B it must be true that b) Sample Problem 3 F
x A Fs
x B v Gravitational Potential Energy r m Escape Velocity ve m Escape Velocity from the Earth ve m Escape Velocity & Black Holes ve m ...
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 Spring '08
 Dr.Schrieber
 Physics, Energy, Force, Kinetic Energy, Work

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