How fast will an object with a mass of #15 kg# accelerate if a force of #96 N# is constantly applied to it?
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To find the acceleration, you can use Newton's second law of motion, which states that acceleration (a) is equal to the force (F) divided by the mass (m). So, a = F/m. Plugging in the values, we get: a = 96 N / 15 kg ≈ 6.4 m/s^2. Therefore, the object will accelerate at approximately 6.4 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.
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.
- If an object is moving at #24 m/s# over a surface with a kinetic friction coefficient of #u_k=6 /g#, how far will the object continue to move?
- A box with an initial speed of #3 m/s# is moving up a ramp. The ramp has a kinetic friction coefficient of #2/5 # and an incline of #pi /4 #. How far along the ramp will the box go?
- An object with a mass of #6# #kg# is hanging from a spring with a constant of #12# #kgs^-2#. If the spring is stretched by # 2# #m#, what is the net force on the object?
- An object with a mass of # 14 kg# is lying still on a surface and is compressing a horizontal spring by #1 m#. If the spring's constant is # 7 (kg)/s^2#, what is the minimum value of the surface's coefficient of static friction?
- An object, previously at rest, slides #3 m# down a ramp, with an incline of #pi/6 #, and then slides horizontally on the floor for another #4 m#. If the ramp and floor are made of the same material, what is the material's kinetic friction coefficient?

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