Newton's 3rd law- inclined plane

In summary, Newton's 3rd law states that for every action, there is an equal and opposite reaction. This law applies to an inclined plane by explaining how an object placed on the plane will accelerate downward due to the equal and opposite forces exerted by the object and the plane. In everyday life, this law can be observed in actions such as walking and in the workings of rockets. It cannot be violated as it is a fundamental law of physics. It is also closely related to the conservation of momentum, which states that the total momentum in a closed system remains constant.
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mcryder16
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Homework Statement



Two packages at UPS start sliding down the 18° ramp. Package A has a mass of 5.26 kg and a coefficient of friction of 0.22. Package B has a mass of 11.67 kg and a coefficient of friction of 0.15. How long does it take package A to reach the bottom? (s=2.1 m)

Homework Equations



Any ideas of how to start this problem?

The Attempt at a Solution

 
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How would you think to start the problem?
 
  • #3


To begin solving this problem, we can use Newton's Second Law, which states that the net force acting on an object is equal to its mass multiplied by its acceleration. In this case, the net force on each package will be the force of gravity pulling it down the ramp, minus the force of friction pushing against its motion. We can also use Newton's Third Law, which states that for every action, there is an equal and opposite reaction. This means that the force of friction pushing against the package is equal in magnitude but opposite in direction to the force the package exerts on the ramp.

Using the given information, we can calculate the weight of each package (mass x acceleration due to gravity) and then use the angle of the ramp to find the component of the weight that is acting down the ramp. This will be the force that is driving the package down the ramp.

Next, we can calculate the force of friction by multiplying the coefficient of friction by the normal force (which is equal to the component of the weight acting perpendicular to the ramp).

Once we have these values for both packages, we can use Newton's Second Law to set up an equation for each package, with the net force equal to the mass of the package times its acceleration. We can then solve for the acceleration of each package.

Finally, we can use the equation for constant acceleration (s=ut+0.5at^2) to find the time it takes for each package to reach the bottom of the ramp, using the initial velocity of 0 and the acceleration calculated in the previous step.

In summary, to solve this problem we will use Newton's Second Law and Third Law to calculate the forces acting on the packages, set up equations for each package using Newton's Second Law, and then use the equation for constant acceleration to find the time it takes for each package to reach the bottom of the ramp.
 

Related to Newton's 3rd law- inclined plane

1. What is Newton's 3rd law and how does it apply to inclined planes?

Newton's 3rd law states that for every action, there is an equal and opposite reaction. This means that when an object exerts a force on another object, the second object will exert an equal and opposite force back. On an inclined plane, this law applies because the force of gravity pulling the object down the slope is equal and opposite to the normal force exerted by the inclined plane on the object.

2. How does the angle of the inclined plane affect Newton's 3rd law?

The angle of the inclined plane does not affect Newton's 3rd law. The law still applies regardless of the angle of the inclined plane. However, the angle does affect the components of the forces involved in the law, such as the weight and normal force, which can impact the motion of the object on the inclined plane.

3. Can an object on an inclined plane ever be at rest?

Yes, an object on an inclined plane can be at rest if the forces acting on it are balanced. This means that the force of gravity pulling the object down the slope is equal to the normal force exerted by the inclined plane on the object. In this case, the object will not accelerate and will remain at rest.

4. How does the mass of an object on an inclined plane affect Newton's 3rd law?

The mass of an object on an inclined plane does not directly affect Newton's 3rd law. The law states that the forces are equal and opposite, regardless of the masses of the objects involved. However, the mass does affect the acceleration of the object, as stated by Newton's 2nd law (F=ma).

5. Can an object on an inclined plane ever move without any external force?

No, an object on an inclined plane cannot move without any external force acting on it. According to Newton's 1st law (law of inertia), an object will remain at rest or in motion with a constant velocity unless acted upon by an external force. The force of gravity and normal force from the inclined plane are not considered external forces in this scenario.

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