of magnitudes F₁ = 4.0 N, F₂ = 6.0 N, ON are applied to a block of mass initially at rest, at angles shown on the ure 1)In this problem, you will determine the force by combining the three individual All angles should be measured vise from the positive x axis (i.e., all angles 325° 25° 1 of 1 What angle does F, make with the positive x axis? Express your answer in degrees to two significant figures. [ϋ| ΑΣΦ Submit Part C |a| = Request Answer Submit What is the magnitude of the block's acceleration vector, a? Express your answer to two significant figures. 195| ΑΣΦ ? Request Answer degrees ? m/s²

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
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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Three forces of magnitudes F₁
4.0 N, F₂ = 6.0 N,
-
=
and F3 = 8.0 N are applied to a block of mass
m = 2.0 kg, initially at rest, at angles shown on the
diagram. (Figure 1)In this problem, you will determine the
resultant (net) force by combining the three individual
force vectors. All angles should be measured
counterclockwise from the positive x axis (i.e., all angles
are positive).
Figure
325°
-
F₁
25°
F₂
1 of 1
What angle does F make with the positive x axis?
Express your answer in degrees to two significant figures.
V
Submit Request Answer
Part C
ΑΣΦ
18
?
What is the magnitude of the block's acceleration vector, a?
Express your answer to two significant figures.
VE ΑΣΦ
Submit Request Answer
degrees
?
m/s²
Transcribed Image Text:Three forces of magnitudes F₁ 4.0 N, F₂ = 6.0 N, - = and F3 = 8.0 N are applied to a block of mass m = 2.0 kg, initially at rest, at angles shown on the diagram. (Figure 1)In this problem, you will determine the resultant (net) force by combining the three individual force vectors. All angles should be measured counterclockwise from the positive x axis (i.e., all angles are positive). Figure 325° - F₁ 25° F₂ 1 of 1 What angle does F make with the positive x axis? Express your answer in degrees to two significant figures. V Submit Request Answer Part C ΑΣΦ 18 ? What is the magnitude of the block's acceleration vector, a? Express your answer to two significant figures. VE ΑΣΦ Submit Request Answer degrees ? m/s²
Part D
What is the direction of a? In other words, what angle does this vector make with respect to the positive x axis?
Express your answer in degrees to two significant figures.
Π| ΑΣΦ
Submit Request Answer
Part E
?
d =
degrees
How far (in meters) will the block move in 5.0 s? Recall that it starts from rest.
Express the distance d in meters to two significant figures.
17 ΑΣΦ
?
m
Transcribed Image Text:Part D What is the direction of a? In other words, what angle does this vector make with respect to the positive x axis? Express your answer in degrees to two significant figures. Π| ΑΣΦ Submit Request Answer Part E ? d = degrees How far (in meters) will the block move in 5.0 s? Recall that it starts from rest. Express the distance d in meters to two significant figures. 17 ΑΣΦ ? m
Expert Solution
Step 1

a )Fnet  = 4cos25i  + 4sin25j  - 8i + 6cos35 i - 6sin35j  

  = 0.54i  - 1.75j 

|Fnet|  = sqrt(0.54^2  + 1.75^2)  = 1.83 N

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