One car travels due east at 40 km/h. and a second car travels north al 40 km/h. Arc their velocities equal? Explain.
Expert Solution & Answer
To determine
Whether the velocities of the cars are equal or not.
Answer to Problem 1Q
The velocities of the cars are not equal since their direction of motion are different.
Explanation of Solution
Velocity is a vector quantity. It have both magnitude and direction. If two objects are said to be moving with same velocity, they must have same speed (magnitude of velocity) and they must be moving in the same direction.
In the given situation, one car is moving at 40km/h towards east and the other car is moving at 40km/h towards north. Even though both the cars are moving with same speed, their direction of motion are different. Therefore, the velocities of the cars are not equal.
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5.77 A block with mass m₁ is placed on an inclined plane with
slope angle a and is connected to a hanging block with mass m₂ by a
cord passing over a small, frictionless pulley (Fig. P5.74). The coef-
ficient of static friction is μs, and the coefficient of kinetic friction is
Mk. (a) Find the value of m₂ for which the block of mass m₁ moves up
the plane at constant speed once it is set in motion. (b) Find the value
of m2 for which the block of mass m₁ moves down the plane at constant
speed once it is set in motion. (c) For what range of values of m₂ will
the blocks remain at rest if they are released from rest?
5.78 .. DATA BIO The Flying Leap of a Flea. High-speed motion
pictures (3500 frames/second) of a jumping 210 μg flea yielded the
data to plot the flea's acceleration as a function of time, as shown in
Fig. P5.78. (See "The Flying Leap of the Flea," by M. Rothschild et al.,
Scientific American, November 1973.) This flea was about 2 mm long
and jumped at a nearly vertical takeoff angle. Using the graph, (a) find
the initial net external force on the flea. How does it compare to the
flea's weight? (b) Find the maximum net external force on this jump-
ing flea. When does this maximum force occur? (c) Use the graph to
find the flea's maximum speed.
Figure P5.78
150
a/g
100
50
1.0
1.5
0.5
Time (ms)
5.4 ⚫ BIO Injuries to the Spinal Column. In the treatment of
spine injuries, it is often necessary to provide tension along the spi-
nal column to stretch the backbone. One device for doing this is the
Stryker frame (Fig. E5.4a, next page). A weight W is attached to
the patient (sometimes around a neck collar, Fig. E5.4b), and fric-
tion between the person's body and the bed prevents sliding. (a) If
the coefficient of static friction between a 78.5 kg patient's body and
the bed is 0.75, what is the maximum traction force along the spi-
nal column that W can provide without causing the patient to slide?
(b) Under the conditions of maximum traction, what is the tension in
each cable attached to the neck collar?
Figure E5.4
(a)
(b)
W
65°
65°
Chapter 3 Solutions
Physics for Scientists and Engineers with Modern Physics
Chemistry: An Introduction to General, Organic, and Biological Chemistry (13th Edition)
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