Finding the Acceleration of a Moving Bus Using Newton's Laws

In summary, the conversation is about a problem involving a hammer hanging from the ceiling of a bus. The bus is traveling on a horizontal street and the hammer is at rest when the angle between the rope and ceiling is 74 degrees. The question is asking for the acceleration of the bus, and the solution involves analyzing the forces acting on the hammer using Newton's 2nd law. The person who originally asked for help was able to solve the problem on their own.
  • #1
tedjj
2
0
Hello,
Could anyone help me with this problem?

"A hammer is hanging by a light rope from the ceiling of a bus. The ceiling of the bus is parallel to the roadway. The bus is traveling in a straight line on a horizontal street. You observe that hammer hangs at rest with respect to the bus when the angle between the rope and the ceiling of the bus is 74 degrees. What is the acceleration of the bus?"

Thank you very much

--Tedi
 
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  • #2
To get help, show us what you've come up with so far. (Hint: Analyze the forces acting on the hammer. Use Newton's 2nd law.)
 
  • #3
ohhh OMG I have just solved it :smile: Why did it take me soo long... Thanks anyway:P
 

1. What are Newton's three laws of motion?

Newton's first law states that an object at rest will remain at rest and an object in motion will remain in motion at a constant velocity unless acted upon by an unbalanced force. Newton's second law states that the acceleration of an object is directly proportional to the net force acting on it and inversely proportional to its mass. Newton's third law states that for every action, there is an equal and opposite reaction.

2. How do we apply Newton's laws to real-life situations?

We can apply Newton's laws to real-life situations by first identifying the forces acting on an object and then using Newton's second law to calculate the resulting acceleration. We can also use Newton's third law to understand the interactions between two objects and the forces they exert on each other.

3. What is the difference between mass and weight in terms of Newton's laws?

Mass is a measure of the amount of matter in an object, while weight is a measure of the force of gravity acting on an object. In terms of Newton's laws, mass is used in the calculation of acceleration (Newton's second law), while weight is a force that can be balanced or unbalanced depending on the other forces acting on an object.

4. Can Newton's laws be applied to non-inertial reference frames?

No, Newton's laws only hold true in inertial reference frames, where there is no acceleration or external forces acting on the frame itself. In non-inertial reference frames, additional forces and accelerations must be taken into account.

5. How does friction affect the application of Newton's laws?

Friction is a force that opposes motion and can therefore affect the application of Newton's laws. It must be taken into account when calculating the net force acting on an object and can also cause changes in the acceleration of an object. In some cases, friction can even cause an object to remain at rest despite the application of a force, as seen in static friction.

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