Two forces F₁ and F2 act on a 5.30-kg object. F₁ F₁₂ LE 60.0⁰ F₁ b a = 27.0 N and F₂ = 13.5 N. 90.0⁰ (a) Find the acceleration of the object for the configuration of forces shown in Figure (a). (b) Find the acceleration of the object for the configuration of forces shown in Figure (b).

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Chapter1: Units, Trigonometry. And Vectors
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5.3

(a) Using the particle under a net force model, we calculate the net force on the object in the first figure.
ΣF = F₁+F₂
ΣΕ
= 27
The following is the mathematical statement of Newton's second law.
ΣF = ma
Expressing the sum of the forces in vector notation, and substituting the value of the mass, we have
EF= 27
27 + 13.5
13.5 Ĵ) N = 5.3
5.3 kg)a.
Part 4 of 6 - Analyze
Now, solving for the acceleration, gives
27 Î+ 13.5
27
X
a = Your response differs from the correct answer by more than 100%. Î+ 13.5
Your response differs from the correct answer by more than 100%. ĵ) m/s².
Remembering that a = a =
for the magnitude and direction
a =
0 = tan
-1 ay
a
X
=
13.5 Ĵ N
2
a + ay
m/s²)² + (
2, and substituting for the x and y components of acceleration,
m/s²)² =
=
X
m/s²
Transcribed Image Text:(a) Using the particle under a net force model, we calculate the net force on the object in the first figure. ΣF = F₁+F₂ ΣΕ = 27 The following is the mathematical statement of Newton's second law. ΣF = ma Expressing the sum of the forces in vector notation, and substituting the value of the mass, we have EF= 27 27 + 13.5 13.5 Ĵ) N = 5.3 5.3 kg)a. Part 4 of 6 - Analyze Now, solving for the acceleration, gives 27 Î+ 13.5 27 X a = Your response differs from the correct answer by more than 100%. Î+ 13.5 Your response differs from the correct answer by more than 100%. ĵ) m/s². Remembering that a = a = for the magnitude and direction a = 0 = tan -1 ay a X = 13.5 Ĵ N 2 a + ay m/s²)² + ( 2, and substituting for the x and y components of acceleration, m/s²)² = = X m/s²
Two forces
and F₂ act on a 5.30-kg object. F₁
1
F₂
m
a
90.0⁰
= 27.0 N and F₂ = 13.5 N.
스
L
60.0⁰
m
b
(a) Find the acceleration of the object for the configuration of forces shown in Figure (a).
(b) Find the acceleration of the object for the configuration of forces shown in Figure (b).
Transcribed Image Text:Two forces and F₂ act on a 5.30-kg object. F₁ 1 F₂ m a 90.0⁰ = 27.0 N and F₂ = 13.5 N. 스 L 60.0⁰ m b (a) Find the acceleration of the object for the configuration of forces shown in Figure (a). (b) Find the acceleration of the object for the configuration of forces shown in Figure (b).
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