Application of Newton's Laws of motion

In summary, the minimum magnitude of P needed to hold the block still is 202.2. This can be calculated using the equation mg + Fr = mg cos theta, where m is the mass of the block, g is the gravitational acceleration, theta is the angle between the block and the surface, and Fr is the frictional force. It is important to take into account the fact that the frictional force depends on the strength of P pushing the block against the wall. Additionally, another equation is needed to determine Fr. A useful resource for solving physics problems is the Laws of Physics app on iPhone.
  • #1
Aggie
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A block of mass 20kg is pushed against a vertical surface at an angle of 30 degrees as shown. The coefficient of friction between the surface and the block is 0.2. What is the minimum magitude of P to hold the block still?


I got 271.5 when I tried but the answer is 202.2
 

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  • #2
How did you come to the 271.5?
 
  • #3
Have you taken into account the fact that the frictional force will depend also on P, ie how strongly it is being pressed against the wall?
 
  • #4
I came up withthe equation

mg+ Fr = mg cos theta
 
  • #5
That equation does not look right. Where is P?

Also how do you determine Fr. You need another equation right?
 

1. What are Newton's Laws of Motion?

Newton's Laws of Motion are three fundamental principles of physics that describe how objects move and interact with each other. They were developed by Sir Isaac Newton in the 17th century and are still widely used today to understand and predict the motion of objects.

2. How do Newton's Laws apply in everyday life?

Newton's Laws can be seen in many aspects of everyday life. For example, the first law states that an object at rest will remain at rest unless acted upon by an external force. This can be seen when a book stays on a shelf until someone picks it up. The second law explains how the force applied to an object affects its acceleration, which is important in activities like driving a car or throwing a ball. The third law states that every action has an equal and opposite reaction, which can be observed in activities like walking, swimming, or even jumping on a trampoline.

3. What is the relationship between force and acceleration according to Newton's second law?

According to Newton's second law, the acceleration of an object is directly proportional to the net force applied to it and inversely proportional to its mass. This means that the greater the force applied to an object, the greater its acceleration will be. Conversely, the larger the mass of an object, the smaller its acceleration will be for a given force.

4. Can Newton's Laws be applied to objects in space?

Yes, Newton's Laws are universal and can be applied to objects in space. In fact, Newton's laws were first developed to explain the motion of planets in our solar system. They are also used to understand the motion of spacecraft and satellites.

5. How do Newton's Laws relate to the concept of inertia?

Newton's first law, also known as the law of inertia, states that an object will remain at rest or in motion at a constant velocity unless acted upon by an external force. In other words, an object's natural tendency is to maintain its current state of motion. This concept of inertia is related to the first law and plays a crucial role in understanding and applying all three of Newton's Laws of Motion.

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