Motion of a Block with Three Forces Three forces of magnitudes F 1=4.0N , F 2=6.

Question

Motion of a Block with Three Forces

Three forces of magnitudes F1=4.0N , F2=6.0N , and F3=8.0N are applied to a block of mass m=2.0kg , 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).

Part A

Calculate the magnitude of the resultant force Fr=F1+F2+F3 acting on the block.

Express the magnitude of the resultant force in newtons to two significant figures.

SubmitHintsMy AnswersGive UpReview Part

Part B

What angle does Fr make with the positive x axis?

Express your answer in degrees to two significant figures.

SubmitHintsMy AnswersGive UpReview Part

Part C

What is the magnitude of the block's acceleration vector, a ?

Express your answer to two significant figures.

SubmitHintsMy AnswersGive UpReview Part

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.

SubmitHintsMy AnswersGive UpReview Part

Part E

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.

SubmitHintsMy AnswersGive UpReview Part

Provide FeedbackContinue

Figure 1 of 1

Motion of a Block with Three Forces

Three forces of magnitudes F1=4.0N , F2=6.0N , and F3=8.0N are applied to a block of mass m=2.0kg , 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).

Part A

Calculate the magnitude of the resultant force Fr=F1+F2+F3 acting on the block.

Express the magnitude of the resultant force in newtons to two significant figures.

SubmitHintsMy AnswersGive UpReview Part

Part B

What angle does Fr make with the positive x axis?

Express your answer in degrees to two significant figures.

|Fr| = N

SubmitHintsMy AnswersGive UpReview Part

Part C

What is the magnitude of the block's acceleration vector, a ?

Express your answer to two significant figures.

degrees

SubmitHintsMy AnswersGive UpReview Part

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.

|a| = m/s2

SubmitHintsMy AnswersGive UpReview Part

Part E

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.

degrees

SubmitHintsMy AnswersGive UpReview Part

Provide FeedbackContinue

d = m

Figure 1 of 1

Explanation / Answer

Fx = F1x + F2x + F3x

Fx = (4*cos25)+(6*cos325)-8

Fx = 0.54 N

Fy = F1y + F2y + F3y

Fy = (4*sin25)+(6*sin325)-0

Fy = -1.75 N

F = sqrt(Fx^2+Fy^2) = 1.83 N

+++++++++++

B)

angle = tan^-1(Fy/Fx) = arctan(-1.75/0.54) = 287.15

C)

a = Fnet/m = 0.915 m/s^2

d)

direction = tan^-1(Fy/Fx) = arctan(-1.75/0.54) = 287.15

e)

d = 0.5*a*t^2

d = 0.5*0.915*5^2

d = 11.43 m

Related Questions

Navigate

• Browse (All)
• Browse M
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.