If an object is moving at #10 m/s# over a surface with a kinetic friction coefficient of #u_k=3 /g#, how far will the object continue to move?
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To determine how far the object will continue to move, we can use the formula:
[d = \frac{v^2}{2u_kg}]
Where:
- (d) is the distance traveled,
- (v) is the initial velocity (10 m/s),
- (u_k) is the coefficient of kinetic friction (0.3 in this case),
- (g) is the acceleration due to gravity (approximately 9.8 m/s²).
Plugging in the values:
[d = \frac{(10 , \text{m/s})^2}{2 \times 0.3 \times 9.8 , \text{m/s}^2}]
[d \approx \frac{100}{5.88}]
[d \approx 17.01 , \text{meters}]
So, the object will continue to move approximately 17.01 meters.
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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.
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- If there is an upward force of 4 and a force to the right of 3, what is the net force?
- How fast will an object with a mass of #3 kg# accelerate if a force of #17 N# is constantly applied to it?
- An object with a mass of # 3 kg# is lying on a surface and is compressing a horizontal spring by #20 cm#. If the spring's constant is # 9 (kg)/s^2#, what is the minimum value of the surface's coefficient of static friction?
- If the length of a #32 cm# spring increases to #71 cm# when a #4 kg# weight is hanging from it, what is the spring's constant?

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