An object with a mass of #8 kg# is acted on by two forces. The first is #F_1= < -2 N , 1 N># and the second is #F_2 = < 3 N, -1 N>#. What is the object's rate and direction of acceleration?

Answer 1

Olivia Askew

Acceleration is #1/8 ms^(-2) \ mathbf (e_x)#

Newton's Second Law:

#sum mathbf F = m mathbf a#

#sum mathbf F = langle -2 , 1 rangle + langle 3 , -1 rangle = langle 1 , 0 rangle#

#= m mathbf a = 8 langle a_x , a_y rangle#

#implies a_x = 1/8, a_y = 0#

Units are #ms^(-2)#

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Answer 2

Lily Adams

Acceleration = (1 kg·m/s², 0 m/s²)

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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 #8 kg# is acted on by two forces. The first is #F_1= &lt; -2 N , 1 N&gt;# and the second is #F_2 = &lt; 3 N, -1 N&gt;#. What is the object's rate and direction of acceleration?

An object with a mass of #8 kg# is acted on by two forces. The first is #F_1= < -2 N , 1 N># and the second is #F_2 = < 3 N, -1 N>#. What is the object's rate and direction of acceleration?