15 - 16. A tennis ball of mass m is dropped from rest at point A, covering a height H, above a frictionless inclined plane at an angle 45 degrees to the horizontal as shown below. The moment the ball hits the inclined plane, it bounces horizontally at point B with the same speed with which it struck the plane and strikes the plane again at point C. In terms of g and H, determine the following quantities: Notes: m is the mass of the tennis ball. H is the distance between A and B. L is the straight line distance from point B to C. g is the acceleration due to gravity. A. The speed of the ball just before it strikes the plane at point C. H L

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Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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15 16. A tennis ball of mass m is dropped from rest at point A,
covering a height H, above a frictionless inclined plane at an
angle 45 degrees to the horizontal as shown below. The
moment the ball hits the inclined plane, it bounces horizontally
at point B with the same speed with which it struck the plane
and strikes the plane again at point C. In terms of g and H,
determine the following quantities:
Notes: m is the mass of the tennis ball. H is the distance
between A and B. L is the straight line distance from point B to
C. g is the acceleration due to gravity.
A. The speed of the ball just before it strikes the plane at point C.
Ov-TOgH
Ov= √20g
v = √2gH
v = √2g (H-L)
No Answer
B. The distance L along the plane from point B to C.
OL = 1√/2gH
OL-g√2Ht
OL = 2√gh
OL - 4√2H
No Answer
A
H
B
0-45°
15
Transcribed Image Text:15 16. A tennis ball of mass m is dropped from rest at point A, covering a height H, above a frictionless inclined plane at an angle 45 degrees to the horizontal as shown below. The moment the ball hits the inclined plane, it bounces horizontally at point B with the same speed with which it struck the plane and strikes the plane again at point C. In terms of g and H, determine the following quantities: Notes: m is the mass of the tennis ball. H is the distance between A and B. L is the straight line distance from point B to C. g is the acceleration due to gravity. A. The speed of the ball just before it strikes the plane at point C. Ov-TOgH Ov= √20g v = √2gH v = √2g (H-L) No Answer B. The distance L along the plane from point B to C. OL = 1√/2gH OL-g√2Ht OL = 2√gh OL - 4√2H No Answer A H B 0-45° 15
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