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

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SUMMARY

The discussion focuses on calculating the impulse required to move a bronze statue of Buddha, which has a mass of 1,000,000 kg, from rest to a speed of 0.2 m/s. The impulse can be determined using the formula for momentum (p = mv), where the change in momentum gives the required impulse. Additionally, with a net force of 12.5 kN acting on the statue, the time taken to reach the final speed can be calculated by relating impulse, force, and time.

PREREQUISITES
  • Understanding of momentum (p = mv)
  • Knowledge of impulse and its relation to change in momentum
  • Familiarity with Newton's second law of motion
  • Basic concepts of kinematics, particularly acceleration and time
NEXT STEPS
  • Calculate impulse using the formula for momentum with the given mass and speed
  • Learn how to derive time from impulse and force using the relationship: impulse = force × time
  • Explore Newton's second law and its application in real-world scenarios
  • Investigate kinematic equations to understand motion under constant acceleration
USEFUL FOR

Students studying physics, particularly those focusing on mechanics, as well as educators looking for practical examples of impulse and momentum calculations.

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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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.
 
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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