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AP Unit I C 2,3

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A) Students should understand the concept of a conservative force so they can: ... Springs in series, extension is doubled Springs in parallel, extension is halved. ... – PowerPoint PPT presentation

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Title: AP Unit I C 2,3


1
AP Unit I C 2,3
  • Conservative forces

2
  • A) Students should understand the concept of a
    conservative force so they can-
  • (4) Write an expression for the force exerted by
    an ideal spring and for the potential energy of a
    stretched or compressed spring.
  • (5) Calculate the potential energy of one or more
    objects in a gravitational field.

3
I C 3
  • A) Students should understand the concepts of
    mechanical energy and of total energy so they can
  • (2) Describe and identify situations in which
    mechanical energy is converted to other forms of
    energy.
  • (3) Analyze situations in which an objects
    mechanical energy is changed by friction or by a
    specified externally applied force.

4
  • B) Students should understand conservation of
    energy, so they can
  • (1) Identify situations in which mechanical
    energy is or is not conserved.
  • (2)Apply conservation of energy in analyzing the
    motion of systems of connected objects, such as
    Atwoods machine.
  • (3) Apply conservation of energy in analyzing the
    motion of objects that move under the influence
    of springs (horizontal and vertical)

5
2.(4) Springs series and parallel
  • Springs in series, extension is doubled Springs
    in parallel, extension is halved.

6
2. (5) Potential Energy U
  • Gravitational Potential Energy
  • Ug mgh
  • Spring Potential energy
  • Us ½ F x ½ k x2

7
3. A)(2) Roller Coaster
  • Potential energy is converted into kinetic energy
    and vice versa.

8
3. a) (3) Braking
  • Car mass 3 500.0 kg brakes from 60.0 m/s to 30.0
    m/s over a distance of 2.00 km. Calculate force
    applied by brakes.

9
3.b)(1) Swinging Pendulum
  • Potential energy is converted into kinetic energy
    and vice versa.

10
3.b)(2) Atwood machine
  • http//hyperphysics.phy-astr.gsu.edu/hbase/atwd.ht
    ml

   a (M - m)/(M m)g
FT (M m)a FM - Fm (Mg-mg) g(M-m)
T
T
m
mg
M
Mg
11
3. B) (3) Oscillating Horizontal and vertical
springs.
  • Spring potential Energy is transferred in the
    form of kinetic energy
  • ½ kx2 ½ mv2

12
Forces on a slope
N mg cos ?
Fparallel mg sin ?
?
?
Fperpendicular mg cos ?
mg
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