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An object with a mass of #4 kg# is acted on by two forces. The first is #F_1= < 8 N , -2 N># and the second is #F_2 = < -5 N, 3 N>#. What is the object's rate and direction of acceleration?

Answer 1

Amelia Adams

#a=sqrt10/4" "m/s^2#

#F_1=<8,-2>" ; "F_2=<-5,3>#

#F_R=(8-5)i+(-2+3)j" ; "F_R=3i+j#

#"magnitude of "F_R" is : "F_"net"=sqrt(3^2+1^2)#

#F_"net"=sqrt(9+1)=sqrt10" "N#

#a=F_"net"/m#

#a=sqrt10/4" "m/s^2#

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Answer 2

Parker Abbott

To find the object's acceleration, use the formula: ( \text{acceleration} = \frac{\text{net force}}{\text{mass}} ). The net force is the vector sum of ( F_1 ) and ( F_2 ). Calculate the net force and substitute it into the formula along with the given mass (4 kg) to determine the acceleration vector.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

An object with a mass of #4 kg# is acted on by two forces. The first is #F_1= &lt; 8 N , -2 N&gt;# and the second is #F_2 = &lt; -5 N, 3 N&gt;#. What is the object's rate and direction of acceleration?

An object with a mass of #4 kg# is acted on by two forces. The first is #F_1= < 8 N , -2 N># and the second is #F_2 = < -5 N, 3 N>#. What is the object's rate and direction of acceleration?