# An object with a mass of #4 kg# is acted on by two forces. The first is #F_1= < 6 N , 4 N># and the second is #F_2 = < -3 N, -2 N>#. What is the object's rate and direction of acceleration?

The rate of acceleration is

The resultant force is

We apply Newton's second Law

The magnitude of the acceleration is

The angle lies in the 1st quadrant

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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.

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.

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.

- A truck pulls boxes up an incline plane. The truck can exert a maximum force of #3,500 N#. If the plane's incline is #(5 pi )/8 # and the coefficient of friction is #3/7 #, what is the maximum mass that can be pulled up at one time?
- An object with a mass of #18 kg# is on a plane with an incline of # -(5 pi)/12 #. If it takes #9 N# to start pushing the object down the plane and #5 N# to keep pushing it, what are the coefficients of static and kinetic friction?
- If a #2 kg# object moving at #9 m/s# slows down to a halt after moving #2 m#, what is the friction coefficient of the surface that the object was moving over?
- How fast will an object with a mass of #6 kg# accelerate if a force of #12 N# is constantly applied to it?
- An object with a mass of #9 kg# is acted on by two forces. The first is #F_1= < -2 N , -1 N># and the second is #F_2 = < 8 N, -5 N>#. What is the object's rate and direction of acceleration?

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