An object with a mass of #2 kg# is on a surface with a kinetic friction coefficient of # 2 #. How much force is necessary to accelerate the object horizontally at #8 m/s^2#?
Using a smooth surface and Newton's second law
However, the surface here is not smooth, so more force is needed to offset the frictional effect.
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To accelerate the object horizontally at (8 , m/s^2), a net force must be applied. The force required can be calculated using Newton's second law, which states that force ((F)) equals mass ((m)) times acceleration ((a)). The formula is (F = m \times a). Substituting the given values, the force required is (F = 2 , kg \times 8 , m/s^2 = 16 , N).
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The force necessary to accelerate the object horizontally at 8 m/s^2 is 16 Newtons.
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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.
- A block weighing #6 kg# is on a plane with an incline of #(5pi)/6# and friction coefficient of #4/5#. How much force, if any, is necessary to keep the block from sliding down?
- If a #2 kg# object moving at #5 m/s# slows down to a halt after moving #3 m#, what is the friction coefficient of the surface that the object was moving over?
- An object with a mass of #7 kg# is hanging from a spring with a constant of #2 (kg)/s^2#. If the spring is stretched by # 3 m#, what is the net force on the object?
- An object with a mass of # 5 kg# is lying still on a surface and is compressing a horizontal spring by #2 m#. If the spring's constant is # 6 (kg)/s^2#, what is the minimum value of the surface's coefficient of static friction?
- An object with a mass of #4 kg# is lying still on a surface and is compressing a horizontal spring by #7/8 m#. If the spring's constant is #16 (kg)/s^2#, what is the minimum value of the surface's coefficient of static friction?

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