The figure shows an overhead view of a 0.0210 kg lemon half and two of

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The figure shows an overhead view of a 0.0210 kg lemon half and two of the three horizontal forces that act on it as it is on a frictionless table. Force F→1 has a magnitude of 3.00 N and is at θ1 = 27.0∘. Force F→2 has a magnitude of 6.00 N and is at θ2 = 31.0∘. In unit-vector notation, what is the third force if the lemon half (a) is stationary, (b) has the constant velocity v→ = (12.0i^ − 13.0j^) m/s, and (c) has the varying velocity v→ = (11.0ti^ − 12.0tj^) m/s, where t is time?

Image text

The figure shows an overhead view of a

0.0210 k g

lemon half and two of the three horizontal forces that act on it as it is on a frictionless table. Force

{\vec{F}}_{1}

has a magnitude of

3.00 N

and is at

θ_{1} = {27.0}^{\circ}

. Force

{\vec{F}}_{2}

has a magnitude of

6.00 N

and is at

θ_{2} = {31.0}^{\circ}

. In unit-vector notation, what is the third force if the lemon half (a) is stationary, (b) has the constant velocity

\vec{v} = (12.0 \hat{i} - 13.0 \hat{j}) m / s

, and (c) has the varying velocity

\vec{v} = (11.0 t \hat{i} - 12.0 t \hat{j}) m / s

, where

t

is time?

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