How to Calculate Impulse and Time for Moving a Bronze Statue?

In summary: This change in speed is due to the net force of 12.5 kN acting on the statue. It will take approximately 2.5 seconds for the statue to reach its final speed of .2 m/s.
  • #1
Jayson5
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Homework Statement


A bronze statue of Bhudda was completed in Tohyo in 1993. The statue is 35 m tall and has a mass of 1,000,000 kg. Suppose this statue were to be moved to a different location. What is the magnitude of the impulse that must act on the statue in order for the speed to increase from 0 m/s to .2 m/s? If the magnitude of the net force acting on the statue is 12.5 kN, how long will it take for the final speed to be reached?


Homework Equations


p=mv


The Attempt at a Solution


I have no idea where to begin...
 
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  • #2
Impulse is change in momentum. Using the formula for momentum you gave, what are the momentum of the Bhudda at rest and what is it when it moves with 0.2 m/s? The difference between these two is the the impulse.

In order to find the time it takes to accelerate the Bhudda you need establish how impulse, that is change in momentum over time, and force are related. Its a very simple relationship.

An alternative, but a slightly bit more involved way would be to look at how force, mass and acceleration are related and how (constant) acceleration, speed and time are related.
 
  • #3
Jayson5 said:

Homework Statement


A bronze statue of Bhudda was completed in Tohyo in 1993. The statue is 35 m tall and has a mass of 1,000,000 kg. Suppose this statue were to be moved to a different location. What is the magnitude of the impulse that must act on the statue in order for the speed to increase from 0 m/s to .2 m/s? If the magnitude of the net force acting on the statue is 12.5 kN, how long will it take for the final speed to be reached?


Homework Equations


p=mv


The Attempt at a Solution


I have no idea where to begin...

Welcome to the PF. What is the definition of Impulse? Is time involved?

http://en.wikipedia.org/wiki/Impulse

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FAQ: How to Calculate Impulse and Time for Moving a Bronze Statue?

What is momentum?

Momentum is a measure of an object's motion and is calculated by multiplying the object's mass by its velocity. It is a vector quantity, which means it has both magnitude and direction.

How is momentum related to impulse?

Momentum and impulse are closely related, as impulse is defined as the change in an object's momentum. In other words, impulse is the force applied to an object multiplied by the time it is applied, which results in a change in the object's momentum.

Can momentum be conserved?

Yes, momentum can be conserved in a closed system where there is no external force acting on the system. This is known as the Law of Conservation of Momentum.

How is momentum affected by mass and velocity?

The greater the mass and velocity of an object, the greater its momentum will be. This means that a heavier object moving at a faster speed will have a greater momentum than a lighter object moving at a slower speed.

How can momentum be used in real-life situations?

Momentum is an important concept in many real-life situations, such as car crashes, sports, and rocket launches. It helps us understand how objects move and interact with each other, and is crucial in designing safe and efficient systems and devices.

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