# An object with a mass of #14 kg# is acted on by two forces. The first is #F_1= < 5 N , 6 N># and the second is #F_2 = < -9 N, 4 N>#. What is the object's rate and direction of acceleration?

Let's find the sum of the forces :

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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.

- An object with a mass of #7 kg# is pushed along a linear path with a kinetic friction coefficient of #mu_k(x)= 4+secx#. How much work would it take to move the object over #x in [(-5pi)/12, (pi)/4]#, where x is in meters?
- An object with a mass of #2 kg# is acted on by two forces. The first is #F_1= <5 N , 7 N># and the second is #F_2 = < 2 N, -4 N>#. What is the object's rate and direction of acceleration?
- An object, previously at rest, slides #4 m# down a ramp, with an incline of #pi/4 #, and then slides horizontally on the floor for another #5 m#. If the ramp and floor are made of the same material, what is the material's kinetic friction coefficient?
- The same force acts on two objects with different masses. Why does the object with less mass have a larger acceleration?
- If a #13 kg# object moving at #4 m/s# slows down to a halt after moving #80 m#, what is the friction coefficient of the surface that the object was moving over?

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