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Chapter 6 Circular Motion and Other Applications of Newton’s Laws
1
1.
A race car travels 40 m/s around a banked (45
°
with the
horizontal) circular (radius = 0.20 km) track.
What is the
magnitude of the resultant force on the 80-kg driver of this car?
a.
0.68 kN
b.
0.64 kN
c.
0.72 kN
d.
0.76 kN
e.
0.52 kN
2.
An airplane travels 80 m/s as it makes a horizontal circular turn
which has a 0.80-km radius.
What is the magnitude of the
resultant force on the 75-kg pilot of this airplane?
a.
0.69 kN
b.
0.63 kN
c.
0.66 kN
d.
0.60 kN
e.
0.57 kN
3.
An airplane moves 140 m/s as it travels around a vertical circular
loop which has a 1.0-km radius.
What is the magnitude of the
resultant force on the 70-kg pilot of this plane at the bottom of this
loop?
a.
2.1 kN
b.
1.4 kN
c.
0.69 kN
d.
1.5 kN
e.
1.3 kN
4.
A car travels along the perimeter of a vertical circle (radius =
0.25 km) at a constant speed of 30 m/s.
What is the magnitude
of the resultant force on the 60-kg driver of the car at the lowest
point on this circular path?
a.
0.37 kN
b.
0.80 kN
c.
0.22 kN
d.
0.59 kN
e.
0.45 kN
5.
A 30-kg child rides on a circus Ferris wheel that takes her
around a vertical circular path with a radius of 20 m every 22 s.
What is the magnitude of the resultant force on the child at the
highest point on this trajectory?
a.
49 N
b.
0.29 kN
c.
0.34 kN
d.
0.25 kN
e.
0.76 kN
6.
An amusement ride consists of a car moving in a vertical circle on
the end of a rigid boom.
The radius of the circle is 10 m.
The
combined weight of the car and riders is 5.0 kN.
At the top of the
circle the car has a speed of 5.0 m/s which is not changing at that
instant.
What is the force of the boom on the car at the top of the
circle?
a.
3.7 kN (Down)
b.
1.3 kN (Down)
c.
6.3 kN (Up)
d.
3.7 kN (Up)
e.
5.2 kN (Down)
7.
A highway curve has a radius of 0.14 km and is unbanked.
A
car weighing 12 kN goes around the curve at a speed of 24 m/s
without slipping.
What is the magnitude of the horizontal force
of the road on the car?
a.
12 kN
b.
17 kN
c.
13 kN
d.
5.0 kN
e.
49 kN
8.
A 4.0-kg mass on the end of a string rotates in a circular motion
on a horizontal frictionless table.
The mass has a constant speed
of 2.0 m/s and the radius of the circle is 0.80 m.
What is the
magnitude of the resultant force acting on the mass?
a.
39 N
b.
20 N
c.
44 N
d.
0 N
e.
30 N
9.
A rock attached to a string swings in a vertical circle.
At the
highest point:
a.
Two forces act on the rock, and their resultant is not zero.
b.
Only one force acts on the rock.
c.
Two forces act on the rock, and their resultant is zero.
d.
Three forces act on the rock.
e.
No forces act on the rock.
10. A stunt pilot weighing 0.70 kN performs a vertical circular dive
of radius 0.80 km.
At the bottom of the dive, the pilot has a
speed of 0.20 km/s which at that instant is not changing.
What
force does the plane exert on the pilot?
a.

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