The diagram below shows a block of mass m=2.00kgđ=2.00kg on a frictionless horizontal surface, as seen from above. Three forces of magnitudes F1=4.00Nđš1=4.00N, F2=6.00Nđš2=6.00N, and F3=8.00Nđš3=8.00N are applied to the block, initially at rest on the surface, at angles shown on the diagram. (Figure 1) In this problem, you will determine the resultant (total) force vector from the combination of the three individual force vectors. All angles should be measured counterclockwise from the positive x axis (i.e., all angles are positive).Figure1 of 1Part APart completeCalculate the magnitude of the total resultant force Fâ r=Fâ 1+Fâ 2+Fâ 3đšâr=đšâ1+đšâ2+đšâ3 acting on the mass.Express your answer in Newtons to three significant figures.View Available Hint(s)for Part A|Fâ r||đšâr| =1.83NNSubmitPrevious AnswersAnswer RequestedPart BPart completeWhat angle does Fâ rđšâr make with the positive x axis?Express your answer in degrees to two significant figures.View Available Hint(s)for Part B-73degreesSubmitPrevious AnswersAll attempts used; correct answer displayedPart CPart completeWhat is the magnitude of the mass's acceleration vector, aâ đâ?Express your answer to two significant figures.View Available Hint(s)for Part C|aâ ||đâ| =0.92m/s2m/s2SubmitPrevious AnswersAll attempts used; correct answer displayedPart DPart completeWhat is the direction of aâ đâ? 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.View Available Hint(s)for Part D-73degreesSubmitPrevious AnswersAll attempts used; correct answer displayedPart EHow far (in meters) will the mass move in 5.0 s?Express the distance dđ in meters to two significant figures.View Available Hint(s)for Part EActivate to select the appropriates template from the following choices. Operate up and down arrow for selection and press enter to choose the input value typeActivate to select the appropriates symbol from the following choices. Operate up and down arrow for selection and press enter to choose the input value typedđ =110.125mmSubmitPrevious Answers Incorrect; Try Again; 7 attempts remainingPart FWhat is the magnitude of the velocity vector of the block at t=5.0sđĄ=5.0s?Express your answer in meters per second to two significant figures.View Available Hint(s)for Part FActivate to select the appropriates template from the following choices. Operate up and down arrow for selection and press enter to choose the input value typeActivate to select the appropriates symbol from the following choices. Operate up and down arrow for selection and press enter to choose the input value type|vâ (5)||đŁâ(5)| =44m/sm/sSubmitPrevious Answers Incorrect; Try Again; 8 attempts remainingPart GIn what direction is the mass moving at time t=5.0sđĄ=5.0s? That is, what angle does the velocity vector make with respect to the positive x axis?Express your answer in degrees to two significant figures.
Question
The diagram below shows a block of mass m=2.00kgđ=2.00kg on a frictionless horizontal surface, as seen from above. Three forces of magnitudes F1=4.00Nđš1=4.00N, F2=6.00Nđš2=6.00N, and F3=8.00Nđš3=8.00N are applied to the block, initially at rest on the surface, at angles shown on the diagram. (Figure 1) In this problem, you will determine the resultant (total) force vector from the combination of the three individual force vectors. All angles should be measured counterclockwise from the positive x axis (i.e., all angles are positive).Figure1 of 1Part APart completeCalculate the magnitude of the total resultant force Fâ r=Fâ 1+Fâ 2+Fâ 3đšâr=đšâ1+đšâ2+đšâ3 acting on the mass.Express your answer in Newtons to three significant figures.View Available Hint(s)for Part A|Fâ r||đšâr| =1.83NNSubmitPrevious AnswersAnswer RequestedPart BPart completeWhat angle does Fâ rđšâr make with the positive x axis?Express your answer in degrees to two significant figures.View Available Hint(s)for Part B-73degreesSubmitPrevious AnswersAll attempts used; correct answer displayedPart CPart completeWhat is the magnitude of the mass's acceleration vector, aâ đâ?Express your answer to two significant figures.View Available Hint(s)for Part C|aâ ||đâ| =0.92m/s2m/s2SubmitPrevious AnswersAll attempts used; correct answer displayedPart DPart completeWhat is the direction of aâ đâ? 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.View Available Hint(s)for Part D-73degreesSubmitPrevious AnswersAll attempts used; correct answer displayedPart EHow far (in meters) will the mass move in 5.0 s?Express the distance dđ in meters to two significant figures.View Available Hint(s)for Part EActivate to select the appropriates template from the following choices. Operate up and down arrow for selection and press enter to choose the input value typeActivate to select the appropriates symbol from the following choices. Operate up and down arrow for selection and press enter to choose the input value typedđ =110.125mmSubmitPrevious Answers Incorrect; Try Again; 7 attempts remainingPart FWhat is the magnitude of the velocity vector of the block at t=5.0sđĄ=5.0s?Express your answer in meters per second to two significant figures.View Available Hint(s)for Part FActivate to select the appropriates template from the following choices. Operate up and down arrow for selection and press enter to choose the input value typeActivate to select the appropriates symbol from the following choices. Operate up and down arrow for selection and press enter to choose the input value type|vâ (5)||đŁâ(5)| =44m/sm/sSubmitPrevious Answers Incorrect; Try Again; 8 attempts remainingPart GIn what direction is the mass moving at time t=5.0sđĄ=5.0s? That is, what angle does the velocity vector make with respect to the positive x axis?Express your answer in degrees to two significant figures.
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