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Potential and Kinetic Energy Problem-high school physics?
lgorman20101
lgorman20101
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10 years ago
10 years ago
Potential and Kinetic Energy Problem-high school physics?
A constant force of 15.3 N acts upward on a iron block that weighs 11.7 N. (a) If the block is initially at rest, what is its kinetic energy 6.53 s after the force is applied? What is the increase in the potential energy of the body 6.53 s after the force is applied.
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o.avworo
wrote...
#1
10 years ago
Given:
Fa = 15.3 N upward
Fg = 11.7 N downward
Find:
a) K.E. = ? at t = 6.53 sec and Vi = 0
b) delta P.E. = increase in potential energy
Solution:
a) K.E. = (1/2)mv^2
K.E. = (1/2)(Fg/g)v^2
K.E. = (1/2)(11.7/9.8)v^2
Solving for v, final velocity:
Fnet = ma
Fa - Fg = (Fg/g)(a)
a = ((Fa - Fg)/(Fg/g)
a = (15.3 - 11.7)/(11.7/9.8)
a = 4.3 m/s^2
a = (v - vi)/t
v = vi + at
v = 0 + (4.3m/s^2)6.53s
v = 28.1 m/s
Hence,
K.E. = (1/2)(11.7/9.8)v^2
K.E. = (1/2)(11.7/9.8)(28.1)^2
K.E. = 471 joules ANS.
b) delta P.E.g = mgh
delta P.E.g = (11.7)(h)
Solving for h:
2ah = v^2 - vi^2
h = (v^2 - vi^2)/2a
h = (28.1^2 - 0)/2(4.3)
h = 91.8 m
delta P.E.g = (11.7)(91.8)
delta P.E.g = 1074.8 joules
teddyboy
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