# How fast will an object with a mass of #3 kg# accelerate if a force of #8 N# is constantly applied to it?

The acceleration is

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To find the acceleration, you can use Newton's second law of motion, which states that force equals mass times acceleration (F = ma). Rearranging the formula to solve for acceleration, you get acceleration (a) = force (F) / mass (m). Plugging in the given values: a = 8 N / 3 kg ≈ 2.67 m/s². So, the object will accelerate at approximately 2.67 meters per second squared.

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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, previously at rest, slides #8 m# down a ramp, with an incline of #pi/6 #, and then slides horizontally on the floor for another #3 m#. If the ramp and floor are made of the same material, what is the material's kinetic friction coefficient?
- If the length of a #21 cm# spring increases to #36 cm# when a #8 kg# weight is hanging from it, what is the spring's constant?
- An object, previously at rest, slides #7 m# down a ramp, with an incline of #(pi)/3 #, and then slides horizontally on the floor for another #3 m#. If the ramp and floor are made of the same material, what is the material's kinetic friction coefficient?
- An object with a mass of #5 kg# is pushed along a linear path with a kinetic friction coefficient of #u_k(x)= x^2+2 #. How much work would it take to move the object over #x in [2, 3], where x is in meters?
- An object with a mass of #4 kg# is acted on by two forces. The first is #F_1= < 3 N , -4 N># and the second is #F_2 = < 7 N, 6 N>#. What is the object's rate and direction of acceleration?

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