# If the length of a #49 cm# spring increases to #81 cm# when a #3 kg# weight is hanging from it, what is the spring's constant?

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The spring constant is approximately 90 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.

- An object with a mass of #4 kg# is acted on by two forces. The first is #F_1= < -5 N , 7 N># and the second is #F_2 = < 4 N, 3 N>#. What is the object's rate and direction of acceleration?
- An object with a mass of #8 kg# is pushed along a linear path with a kinetic friction coefficient of #u_k(x)= 5x^2-3x+1 #. 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 #7 kg# is on a plane with an incline of # - pi/3 #. If it takes #12 N# to start pushing the object down the plane and #5 N# to keep pushing it, what are the coefficients of static and kinetic friction?
- An object with a mass of #2 kg# is on a plane with an incline of #pi/12 #. If the object is being pushed up the plane with #19 N # of force, what is the net force on the object?
- A truck pulls boxes up an incline plane. The truck can exert a maximum force of #4,500 N#. If the plane's incline is #(5 pi )/8 # and the coefficient of friction is #14/3 #, what is the maximum mass that can be pulled up at one time?

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