1. Two heavy balls have the same diameter, but one is twice the weight of the other. They are dropped simultaneously from the roof of a house, beginning at the same height. Which of the following is correct? a. The heavier ball will reach the ground much sooner than the lighter ball, but not in half the time. b. The heavier ball will reach the ground in half the time of the lighter ball. c. The lighter ball will reach the ground in half the time of the heavier ball. d. The lighter ball will reach the ground much sooner than the heavier ball, but not in half the time. e. The two balls will reach the ground at about the same time. 2. The balls from the previous problem roll off a table with the same speed. Which of the following is true? a. Both balls hit the floor at about the same horizontal distance from the table. b. The heavier ball hits the floor at about half the horizontal distance of the lighter ball. c. The lighter ball hits the floor at about half the horizontal distance of the heavier ball. d. The lighter ball hits the floor much closer to the table than the heavier ball, but not necessarily half the distance.
Displacement, Velocity and Acceleration
In classical mechanics, kinematics deals with the motion of a particle. It deals only with the position, velocity, acceleration, and displacement of a particle. It has no concern about the source of motion.
Linear Displacement
The term "displacement" refers to when something shifts away from its original "location," and "linear" refers to a straight line. As a result, “Linear Displacement” can be described as the movement of an object in a straight line along a single axis, for example, from side to side or up and down. Non-contact sensors such as LVDTs and other linear location sensors can calculate linear displacement. Non-contact sensors such as LVDTs and other linear location sensors can calculate linear displacement. Linear displacement is usually measured in millimeters or inches and may be positive or negative.
1. Two heavy balls have the same diameter, but one is twice the weight of the other. They are dropped simultaneously from the roof of a house, beginning at the same height. Which of the following is correct?
a. The heavier ball will reach the ground much sooner than the lighter ball, but not in half the time.
b. The heavier ball will reach the ground in half the time of the lighter ball.
c. The lighter ball will reach the ground in half the time of the heavier ball.
d. The lighter ball will reach the ground much sooner than the heavier ball, but not in half the time.
e. The two balls will reach the ground at about the same time.
2. The balls from the previous problem roll off a table with the same speed. Which of the following is true?
a. Both balls hit the floor at about the same horizontal distance from the table.
b. The heavier ball hits the floor at about half the horizontal distance of the lighter ball.
c. The lighter ball hits the floor at about half the horizontal distance of the heavier ball.
d. The lighter ball hits the floor much closer to the table than the heavier ball, but not necessarily half the distance.
e. The heavier ball hits the floor much closer to the table than the lighter ball, but not necessarily half the distance.
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