# A truck pulls boxes up an incline plane. The truck can exert a maximum force of #3,200 N#. If the plane's incline is #pi/8 # and the coefficient of friction is #3/5 #, what is the maximum mass that can be pulled up at one time?

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The maximum mass that can be pulled up the incline plane at one time is approximately 384 kg.

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- 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 [(3pi)/12, (5pi)/12], where x is in meters?
- How fast will an object with a mass of #24 kg# accelerate if a force # 45 N# is constantly applied to it?
- How fast will an object with a mass of #8 kg# accelerate if a force of #76 N# is constantly applied to it?
- How fast will an object with a mass of #16 kg# accelerate if a force of #40 N# is constantly applied to it?
- How fast will an object with a mass of #24 kg# accelerate if a force # 30 N# is constantly applied to it?

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