QI: A box weighing 100 N is at rest on a horizontal floor. The coefficient of the static friction F sin 0 between the box and the floor is 0.4. What is the F cos @ smallest force exerted eastward and upward at an angle of 30° with the horizontal that can start the box in motion?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 74E
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QI:
A box weighing 100 N is at rest on a horizontal
floor. The coefficient of the static friction
F sin
between the box and the floor is 0.4. What is the
smallest force exerted eastward and upward at an
angle of 30° with the horizontal that can start the
box in motion?
F cos e
Q2:
Use dimensional analysis to determine which of the following equation is certainly
wrong:
A= ut F-
v= (2gh)"2
Where 2 and h are the lengths and [ F] = [ MLT]. The other symbols have their usual
meaning?
Q3:
What is the sum ä +b if a (-4.0 m) i+ (3.0 m) "j and b(-11.0 m) i+ (7.0 m) j?
What are the (b) magnitude and (c) direction of a + b?
Q4:
Figure shows three forces applied to a trunk that
moves leftward by 3.00 m over a frictionless floor.
The force magnitudes are Fl = 7.00 Ib, F2= 10.00 Ib,
and F3 = 3.00 N, and the indicated angle is O= 60.0°.
During the displacement, (a) what is the net work done
on the trunk by the three forces and (b) does the kinetic
energy of the trunk increase or decrease?
Transcribed Image Text:* Untitled Question QI: A box weighing 100 N is at rest on a horizontal floor. The coefficient of the static friction F sin between the box and the floor is 0.4. What is the smallest force exerted eastward and upward at an angle of 30° with the horizontal that can start the box in motion? F cos e Q2: Use dimensional analysis to determine which of the following equation is certainly wrong: A= ut F- v= (2gh)"2 Where 2 and h are the lengths and [ F] = [ MLT]. The other symbols have their usual meaning? Q3: What is the sum ä +b if a (-4.0 m) i+ (3.0 m) "j and b(-11.0 m) i+ (7.0 m) j? What are the (b) magnitude and (c) direction of a + b? Q4: Figure shows three forces applied to a trunk that moves leftward by 3.00 m over a frictionless floor. The force magnitudes are Fl = 7.00 Ib, F2= 10.00 Ib, and F3 = 3.00 N, and the indicated angle is O= 60.0°. During the displacement, (a) what is the net work done on the trunk by the three forces and (b) does the kinetic energy of the trunk increase or decrease?
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