13.5 Two uniform spheres, each of mass 0.260 kg, are fixed at points A and B (Fig. E13.5). Find the magnitude and direc- tion of the initial acceleration of a uniform sphere with mass 0.010 kg if released from rest at point P and acted on only by forces of gravitational attraction of the spheres at A and B. Figure E13.5 0.010 kg P 10.0 cm 10.0 cm 0.260 kg 0.260 kg 6.0 cm 8.0 cm | 8.0 cm A B C Find the angle APC; and angle BPC Calculate the forces on P due to A and B Resolve the forces in two mutually perpendicular direction Find net forces in each direction then use net force = mp a For both directions a along PC = 2.1x10-9 m/s² Other component is zero

Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter7: Gravity
Section: Chapter Questions
Problem 38PQ
Question

I need help with this problem and an explanation of why its the answer described below:

(2.1 X 10^-9 m/s^2, other component is zero is the answer but I need an explanations as to why it's the answer.)

13.5 Two uniform spheres,
each of mass 0.260 kg, are fixed
at points A and B (Fig. E13.5).
Find the magnitude and direc-
tion of the initial acceleration
of a uniform sphere with mass
0.010 kg if released from rest
at point P and acted on only by
forces of gravitational attraction
of the spheres at A and B.
Figure E13.5
0.010 kg
P
10.0 cm
10.0 cm
0.260 kg
0.260 kg
6.0 cm
8.0 cm | 8.0 cm
A
B
C
Find the angle APC; and angle BPC
Calculate the forces on P due to A and B
Resolve the forces in two mutually perpendicular direction
Find net forces in each direction then use net force = mp a
For both directions
a along PC = 2.1x10-9 m/s²
Other component is zero
Transcribed Image Text:13.5 Two uniform spheres, each of mass 0.260 kg, are fixed at points A and B (Fig. E13.5). Find the magnitude and direc- tion of the initial acceleration of a uniform sphere with mass 0.010 kg if released from rest at point P and acted on only by forces of gravitational attraction of the spheres at A and B. Figure E13.5 0.010 kg P 10.0 cm 10.0 cm 0.260 kg 0.260 kg 6.0 cm 8.0 cm | 8.0 cm A B C Find the angle APC; and angle BPC Calculate the forces on P due to A and B Resolve the forces in two mutually perpendicular direction Find net forces in each direction then use net force = mp a For both directions a along PC = 2.1x10-9 m/s² Other component is zero
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