# An object with a mass of #4 kg# is hanging from a spring with a constant of #3 (kg)/s^2#. If the spring is stretched by # 10 m#, what is the net force on the object?

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The net force on the object is 30 N.

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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 hanging from a spring with a constant of #2 (kg)/s^2#. If the spring is stretched by # 18 m#, what is the net force on the object?
- A point object is moving on the cartesian coordinate plane according to: #vecr(t)=b^2thatu_x+(ct^3−q_0)hatu_y#. Determine: a) The equation of the trajectory of object on the cartesian plane b) The magnitude and direction of the velocity?
- An object with a mass of #4 kg# is pushed along a linear path with a kinetic friction coefficient of #u_k(x)= 5+tanx #. How much work would it take to move the object over #x in [(-pi)/12, (pi)/4]#, where #x# is in meters?
- An object with a mass of #5 kg# is pushed along a linear path with a kinetic friction coefficient of #u_k(x)= x+2 #. 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 #6 "kg"# is on a surface with a kinetic friction coefficient of #15#. How much force is necessary to accelerate the object horizontally at #1 "m/s"^2#?

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