33.75 33.0+11.69 11.7 )N Part6 of 6-Analyze Finally, solving for the acceleration, - Your response differs from the correct anser by more than 10%. Double check your calculations. I+7 from the correct anser by more than 100. ) ms. Your response difers As befere. +. subatituting the x and y components of acceleration, gives m/s tan

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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PART 6 of 6 ONLY PLEASE

Part 4 of 6 - Analyze
Now, solving for the acceleration, gives
a
5.1
5.09| i+ 2 5
2.55 i) m/s?.
Remembering that a = a =
a 2 +.
and substituting for the x and y components of acceleration, we have for the magnitude and direction
a = V
5.1
5.09 m/s?
2.55
2.55 m/s?
= 5.70 V
5.7 m/s
6 = tan
26.6
26.6 °.
Part 5 of 6 - Analyze
(b) Again, using the particle under a net force model, we calculate the net force on the object in the second figure. Finding the x and y components for F,, we have
F2x = 13.5
13.5 N cos 60.0° -
6.75
F,
13.5
13.5
N sin 60.0° =
11.7
N.
So in unit-vector notation
F, =
6.75
i+ 11.69
11.7 j) N.
For the sum of the forces on the object in (b), we have the following
unit-vector notation.
EF = F, +F,
33.8 i+ 11.69
11.7 j N
Part 6 of 6 - Analyze
Finally, solving for the acceleration,
a = EF
5.7
lx
= Your response differs from the correct answer by more than 10%. Double check your calculations. î + 5.7
Your response differs from the correct answer by more than 100%. j) m/s?.
As before, a
= a = Va 2 +
a 2. Substituting the x and y components of acceleration, gives
]m/s) +(
|m/s)
m/s?
6 = tan-
Submit Skip (you cannot come back)
Transcribed Image Text:Part 4 of 6 - Analyze Now, solving for the acceleration, gives a 5.1 5.09| i+ 2 5 2.55 i) m/s?. Remembering that a = a = a 2 +. and substituting for the x and y components of acceleration, we have for the magnitude and direction a = V 5.1 5.09 m/s? 2.55 2.55 m/s? = 5.70 V 5.7 m/s 6 = tan 26.6 26.6 °. Part 5 of 6 - Analyze (b) Again, using the particle under a net force model, we calculate the net force on the object in the second figure. Finding the x and y components for F,, we have F2x = 13.5 13.5 N cos 60.0° - 6.75 F, 13.5 13.5 N sin 60.0° = 11.7 N. So in unit-vector notation F, = 6.75 i+ 11.69 11.7 j) N. For the sum of the forces on the object in (b), we have the following unit-vector notation. EF = F, +F, 33.8 i+ 11.69 11.7 j N Part 6 of 6 - Analyze Finally, solving for the acceleration, a = EF 5.7 lx = Your response differs from the correct answer by more than 10%. Double check your calculations. î + 5.7 Your response differs from the correct answer by more than 100%. j) m/s?. As before, a = a = Va 2 + a 2. Substituting the x and y components of acceleration, gives ]m/s) +( |m/s) m/s? 6 = tan- Submit Skip (you cannot come back)
This question has several parts that must be completed sequentially. If you skip a part of the question, you will not receive any points for the skipped part, and you will not be able to come back to the skipped part.
Tutorial Exercise
Two forces F, andF,
act on a 5.30-kg object. F, = 27.0N and F, = 13.5 N.
90.0°
60.0°
(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).
Part 1 of 6 - Conceptualize
Forces acting on an object add as vectors. The acceleration will be greater in magnitude in situation (b) than in situation (a). In both cases, the acceleration will be on the order of a few m/s?, directed into the first quadrant.
Part 2 of 6 - Categorize
First, we will determine the total force on the object. Since the object experiences acceleration, we can use the particle under net force model to determine the acceleration with Newton's second law.
Part 3 of 6 - Analyze
(a) Using the particle under a net force model, we calculate the net force on the object in the first figure.
EF = F, +F,
27
+ 13.5
13.5 )N
The following is the mathematical statement of Newton's second law.
= ma
Expressing the sum of the forces in vector notation, and substituting the value of the mass, we have
EF = (27 -
13.5 i)N =
5.3 kg)a.
13.5
5.30
Part 4 of 6 - Analyze
Now, solving for the acceleration, gives
a =
5.09 i+ 2.55
2.55 i) m/s?.
Remembering that:
and substituting for the x and y components of acceleration, we have for the magnitude and direction
5.09|
2,55
2,55 m/s?
5.70|
5.7 m/s?
5.1
Transcribed Image Text:This question has several parts that must be completed sequentially. If you skip a part of the question, you will not receive any points for the skipped part, and you will not be able to come back to the skipped part. Tutorial Exercise Two forces F, andF, act on a 5.30-kg object. F, = 27.0N and F, = 13.5 N. 90.0° 60.0° (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). Part 1 of 6 - Conceptualize Forces acting on an object add as vectors. The acceleration will be greater in magnitude in situation (b) than in situation (a). In both cases, the acceleration will be on the order of a few m/s?, directed into the first quadrant. Part 2 of 6 - Categorize First, we will determine the total force on the object. Since the object experiences acceleration, we can use the particle under net force model to determine the acceleration with Newton's second law. Part 3 of 6 - Analyze (a) Using the particle under a net force model, we calculate the net force on the object in the first figure. EF = F, +F, 27 + 13.5 13.5 )N The following is the mathematical statement of Newton's second law. = ma Expressing the sum of the forces in vector notation, and substituting the value of the mass, we have EF = (27 - 13.5 i)N = 5.3 kg)a. 13.5 5.30 Part 4 of 6 - Analyze Now, solving for the acceleration, gives a = 5.09 i+ 2.55 2.55 i) m/s?. Remembering that: and substituting for the x and y components of acceleration, we have for the magnitude and direction 5.09| 2,55 2,55 m/s? 5.70| 5.7 m/s? 5.1
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