If the length of a #26 cm# spring increases to #51 cm# when a #4 kg# weight is hanging from it, what is the spring's constant?
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The spring constant is approximately 98.5 N/m.
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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 the length of a #24 cm# spring increases to #47 cm# when a #5 kg# weight is hanging from it, what is the spring's constant?
- An object with a mass of #6 kg# is pushed along a linear path with a kinetic friction coefficient of #u_k(x)= 1+5cotx#. How much work would it take to move the object over #x in [(5pi)/12, (5pi)/8]#, where #x# is in meters?
- If a #10kg# object moving at #7 m/s# slows down to a halt after moving #5/2 m#, what is the friction coefficient of the surface that the object was moving over?
- An object with a mass of #9 kg# is acted on by two forces. The first is #F_1= < -7 N , 1 N># and the second is #F_2 = < 4 N, -5 N>#. What is the objects rate and direction of acceleration?
- An object with a mass of #5 kg# is pushed along a linear path with a kinetic friction coefficient of #u_k(x)= 1-cos(x/3) #. How much work would it take to move the object over #x in [0, 8pi], where x is in meters?

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