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Answer: A physics book slides off a horizontal tabletop
Chapter 3, Problem 9E(choose chapter or problem)
A physics book slides off a horizontal tabletop with a speed of 1.10 m/s. It strikes the floor in 0.350 s. Ignore air resistance. Find (a) the height of the tabletop above the floor; (b) the horizontal at distance from the edge of the table to the point where the book strikes the floor; (c) the horizontal and vertical components of the book’s velocity, and the magnitude and direction of its velocity, just before the book reaches the floor. (d) Draw x-t, y-t, vx-t, and vy-t graphs for the motion.
Questions & Answers
QUESTION:
A physics book slides off a horizontal tabletop with a speed of 1.10 m/s. It strikes the floor in 0.350 s. Ignore air resistance. Find (a) the height of the tabletop above the floor; (b) the horizontal at distance from the edge of the table to the point where the book strikes the floor; (c) the horizontal and vertical components of the book’s velocity, and the magnitude and direction of its velocity, just before the book reaches the floor. (d) Draw x-t, y-t, vx-t, and vy-t graphs for the motion.
ANSWER:
Step 1 of 4
Given data
Speed of the sliding book \(v_0\) = 1.10 m/s
Time taken to reach the floor t = 0.350 s
Problem (a)
To find the height of the table above the floor
Consider the motion of the book as projectile motion.
The vertical height:
y = -
= -
y = - 0.6 m or
Height of the above the floor is 0.6m