How fast will an object with a mass of #6 kg# accelerate if a force of #12 N# is constantly applied to it?
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Lily AdamsThe object will accelerate at a rate of 2 m/s^2.
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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 #6 kg# is on a plane with an incline of # -(3 pi)/8 #. If it takes # 8 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 #8 kg# is on a plane with an incline of # - pi/3 #. If it takes #16 N# to start pushing the object down the plane and # 15 N# to keep pushing it, what are the coefficients of static and kinetic friction?
- An object with a mass of #5 kg# is pushed along a linear path with a kinetic friction coefficient of #u_k(x)= x+xsinx #. How much work would it take to move the object over #x in [0, 5pi], where x is in meters?
- An object with a mass of #19 kg# is on a ramp at an incline of #pi/12 #. If the object is being pushed up the ramp with a force of # 6 N#, what is the minimum coefficient of static friction needed for the object to remain put?
- A truck pulls boxes up an incline plane. The truck can exert a maximum force of #3,500 N#. If the plane's incline is #(5 pi )/12 # and the coefficient of friction is #7/12 #, what is the maximum mass that can be pulled up at one time?
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