A boy of mass m b and his girlfriend of mass m g , both wearing ice skates, face each other at rest while standing on a frictionless ice rink. The boy pushes the girl, giving her a velocity v g toward the east. Assume that m b > m g . (a) Describe the subsequent motion of the boy. (b) Find expressions for the final kinetic energy of the girl and the final kinetic energy of the boy, and show that the girl has greater kinetic energy than the boy. (c) The boy and girl had zero kinetic energy before the boy pushed the girl, but ended up with kinetic energy after the event. How do you account for the appearance of mechanical energy?
A boy of mass m b and his girlfriend of mass m g , both wearing ice skates, face each other at rest while standing on a frictionless ice rink. The boy pushes the girl, giving her a velocity v g toward the east. Assume that m b > m g . (a) Describe the subsequent motion of the boy. (b) Find expressions for the final kinetic energy of the girl and the final kinetic energy of the boy, and show that the girl has greater kinetic energy than the boy. (c) The boy and girl had zero kinetic energy before the boy pushed the girl, but ended up with kinetic energy after the event. How do you account for the appearance of mechanical energy?
Solution Summary: The author explains that the boy will move to the west direction with a speed of m_b.
A boy of mass mb and his girlfriend of mass mg, both wearing ice skates, face each other at rest while standing on a frictionless ice rink. The boy pushes the girl, giving her a velocity vg toward the east. Assume that mb > mg. (a) Describe the subsequent motion of the boy. (b) Find expressions for the final kinetic energy of the girl and the final kinetic energy of the boy, and show that the girl has greater kinetic energy than the boy. (c) The boy and girl had zero kinetic energy before the boy pushed the girl, but ended up with kinetic energy after the event. How do you account for the appearance of mechanical energy?
Part A
(Figure 1) shows a bucket suspended from a cable by means of a small
pulley at C.
If the bucket and its contents have a mass of 10 kg, determine the location of the pulley for equilibrium. The cable is 6 m long.
Express your answer to three significant figures and include the appropriate units.
Figure
4 m
B
НА
x =
Value
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1 of 1
T
1 m
Units
?
The particle in is in equilibrium and F4 = 165 lb.
Part A
Determine the magnitude of F1.
Express your answer in pounds to three significant figures.
ΑΣΦ
tvec
F₁ =
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Part B
Determine the magnitude of F2.
Express your answer in pounds to three significant figures.
ΑΣΦ
It vec
F2 =
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Part C
Determine the magnitude of F3.
Express your answer in pounds to three significant figures.
?
?
lb
lb
F₂
225 lb
135°
45°
30°
-60°-
The 10-lb weight is supported by the cord AC and roller and by the spring that has a stiffness of k = 10 lb/in. and an
unstretched length of 12 in. as shown in.
Part A
Determine the distance d to maintain equilibrium.
Express your answer in inches to three significant figures.
節
ΕΠΙ ΑΣΦ
d =
*k
J
vec
5
t
0
?
d
C
A
in.
12 in.
B
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