(III) The 1100-kg mass of a car includes four tires, each of mass (including wheels) 35 kg and diameter 0.80 m. Assume each tire and wheel combination acts as a solid cylinder. Determine ( a ) the total kinetic energy of the car when traveling 95 km/h and ( b ) the fraction of the kinetic energy in the tires and wheels, ( c ) If the car is initially at rest and is then pulled by a tow truck with a force of 1500 N, what is the acceleration of the car? Ignore frictional losses. ( d ) What percent error would you make in part ( c ) if you ignored the rotational inertia of the tires and wheels?
(III) The 1100-kg mass of a car includes four tires, each of mass (including wheels) 35 kg and diameter 0.80 m. Assume each tire and wheel combination acts as a solid cylinder. Determine ( a ) the total kinetic energy of the car when traveling 95 km/h and ( b ) the fraction of the kinetic energy in the tires and wheels, ( c ) If the car is initially at rest and is then pulled by a tow truck with a force of 1500 N, what is the acceleration of the car? Ignore frictional losses. ( d ) What percent error would you make in part ( c ) if you ignored the rotational inertia of the tires and wheels?
(III) The 1100-kg mass of a car includes four tires, each of mass (including wheels) 35 kg and diameter 0.80 m. Assume each tire and wheel combination acts as a solid cylinder. Determine (a) the total kinetic energy of the car when traveling 95 km/h and (b) the fraction of the kinetic energy in the tires and wheels, (c) If the car is initially at rest and is then pulled by a tow truck with a force of 1500 N, what is the acceleration of the car? Ignore frictional losses. (d) What percent error would you make in part (c) if you ignored the rotational inertia of the tires and wheels?
(II) Estimate the kinetic energy of the Earth with respect to the Sun as the sum of two terms, (a) that due to its daily rotation about its axis, and (b) that due to its yearly revolution about the Sun. [Assume the Earth is a uniform sphere with mass =6.0 x 1024 kg,radius = 6.4 x106 m is 1.5x 108 km from the Sun.]
- (II) Two masses, m.
nected by a rope that hangs over a pulley (as in Fig. 8–54).
The pulley is a uniform cylinder of radius R = 0.311 m
and mass 3.1 kg. Initially ma is on
the ground and mg rests 2.5 m
above the ground. If the system
is released, use conservation of
energy to determine the speed
of mg just before it strikes the
ground. Assume the pulley bearing
32.0 kg and mg = 38.0 kg, are con-
R
is frictionless.
mB
2.5 m
FIGURE 8-54
Problem 58.
76. Round and Round Little Jay is
enjoying his first ride on a merry-go-
round. (He is riding a stationary
horse rather than one that goes up
Av at 4 = 0
%3D
and down.) A schematic view of the
merry-go-round as seen from above
is shown in Fig. 11-47a with a conve-
nient coordinate system. A bit after
the merry-go-round has started and
is going around uniformly, we start
our clock. Little Jay's position and
velocity at time t
dot and arrow. At t = 0 is the net force acting on Jay equal to zero?
If it is, write "Yes" and give a reason why you think so. If it isn't,
write “No" and specify the type of force and the object responsible
for exerting it.
FIGURE 11-47a
Problem 76.
0 are shown as a
%3D
%3D
For the next six parts, specify which of the graphs shown in
Fig. 11-47b could represent the indicated variable for Jay's motion.
If none of the graphs work, write "N."
(A
(B)
0.
-Time
Time
0.
(D)
0.
Time 0
Time
E
F
Time
Time
FIGURE 11-47b Problem 76.
(a) The x-component of Jay's velocity
(b)…
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