How Much Force Is Needed to Push a Piano Up a Ramp?

In summary, Newton's Second Law of Motion states that the force applied to an object is directly proportional to its mass and acceleration. This law is crucial in understanding and achieving equilibrium, where the forces acting on an object are balanced, resulting in zero acceleration. There are two types of equilibrium - static and dynamic - which can be seen in real-life examples such as a book on a table, a car driving at a constant speed, and a person standing still on a scale. Newton's Second Law can also be used to calculate unknown forces in equilibrium by setting up an equation and solving for the unknown force.
  • #1
Edwardo_Elric
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0

Homework Statement


A man pushing a piano with a mass 160kg at constant velocity up a ramp that is inclined at 36.9 degrees above the horizontal. Neglect friction. If the force applied by the man is parallel to the incline, calculate the magnitude of this force.

Homework Equations





The Attempt at a Solution


summation of Fx = wsin(alpha) - Fman = 0
Fman = (160kg)(9.8)(sin(36.9))
= 941N
 
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  • #2
correct

marlon
 
  • #3
ty for checking
 

1. What is Newton's Second Law of Motion?

Newton's Second Law of Motion, also known as the Law of Force and Acceleration, states that the force applied to an object is directly proportional to its mass and acceleration. In other words, the greater the force, the greater the acceleration, and the greater the mass, the smaller the acceleration.

2. How does Newton's Second Law relate to equilibrium?

In equilibrium, the forces acting on an object are balanced, resulting in zero acceleration. This means that the net force on the object is equal to zero, as stated in Newton's Second Law. Therefore, Newton's Second Law is crucial in understanding and achieving equilibrium.

3. What is the difference between static and dynamic equilibrium?

Static equilibrium occurs when an object is at rest and the forces acting on it are balanced. Dynamic equilibrium, on the other hand, occurs when an object is moving at a constant velocity and the forces acting on it are balanced. In both cases, the net force on the object is equal to zero, but in dynamic equilibrium, the object is in motion.

4. How can Newton's Second Law be used to calculate unknown forces in equilibrium?

Newton's Second Law can be used to calculate unknown forces in equilibrium by setting up an equation where the sum of all forces acting on the object is equal to zero. By rearranging the equation, the unknown force can be solved for.

5. What are some real-life examples of equilibrium and Newton's Second Law?

Some real-life examples of equilibrium and Newton's Second Law include a book lying on a table (static equilibrium), a car driving at a constant speed on a straight road (dynamic equilibrium), and a person standing still on a scale (static equilibrium). In all of these cases, the forces acting on the object are balanced, resulting in equilibrium.

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