A truck pulls boxes up an incline plane. The truck can exert a maximum force of #4,000 N#. If the plane's incline is #pi/3 # and the coefficient of friction is #4/3 #, what is the maximum mass that can be pulled up at one time?
Let the maximum mass that can be pulled at one time be
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The maximum mass that can be pulled up the incline plane is approximately 653 kg.
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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.
- An object with a mass of #7 kg# is hanging from a spring with a constant of #3 (kg)/s^2#. If the spring is stretched by # 5 m#, what is the net force on the object?
- 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 # 8 m#, what is the net force on the object?
- How fast will an object with a mass of #3 kg# accelerate if a force of #24 N# is constantly applied to it?
- If the length of a #45 cm# spring increases to #86 cm# when a #1 kg# weight is hanging from it, what is the spring's constant?
- A block weighing #9 kg# is on a plane with an incline of #(7pi)/12# and friction coefficient of #1/3#. How much force, if any, is necessary to keep the block from sliding down?

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