Mechanical advantage, acceleration, work, power

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SUMMARY

This discussion focuses on the application of mechanical advantage, acceleration, and force calculations in physics problems. A block and tackle system with a mechanical advantage of 48 is used to lift a piano 11 meters, requiring a rope length of 528 meters. Additionally, the mass of a whale shark is calculated using the formula F=ma, where a force of 25,000 N and an acceleration of 1.25 m/s² yield a mass of 20,000 kg. Lastly, the mass of a meteorite impacting Earth is determined using a force of 6.41 x 1012 N and an acceleration of -1.00 x 108 m/s².

PREREQUISITES
  • Understanding of Newton's Second Law (F=ma)
  • Knowledge of mechanical advantage in pulley systems
  • Basic concepts of force and acceleration
  • Ability to perform unit conversions (e.g., km/s to m/s)
NEXT STEPS
  • Research the principles of mechanical advantage in different pulley systems
  • Learn how to calculate mass using force and acceleration with real-world examples
  • Explore the implications of force and acceleration in collision physics
  • Study the effects of gravitational force on large objects like marine animals
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Students studying physics, educators teaching mechanics, and anyone interested in understanding the practical applications of force, mass, and mechanical systems.

DerekP
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Basically i have no clue how to do this so I was hoping someone could help me on the formulas with some and explain/show how to set it up. Thanks :)

1. a block and tackle (a system of pulleys) with a mechanical advantage of 48 is used to life a piano 11 m to the third floor of a building. Although the pullets in the block and tackle make it easy to lift it still takes a long time because of the length of the rope. What is the length? (hint: its the input distance)

2. the whale shark is the largest of all fish and can have the pass (I believe she meant mass) of three adult elephants. Suppose that a crane is lifting a whale shark for delivery to an aquarium. The crane exerts a force of 2.5*104N to lift the shark from rest. If the shark's acceleration equals 1.25 m/s2, what is the sharks mass?

3. Suppose a meteorite collides with Earth with a force of 6.41*1012N.

A. What is the mass of the meteorite if it's impact speed is 10 km/s so that it has an acceleration of approximatley -1.00*108 m/s2

P.S. I'm not trying to take the easy way out and cheat the thing has about 50 problems so I'm just trying to get some examples because I don't understand this section of my review and I don't want to do bad on the final.
 
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DerekP said:
2. the whale shark is the largest of all fish and can have the pass (I believe she meant mass) of three adult elephants. Suppose that a crane is lifting a whale shark for delivery to an aquarium. The crane exerts a force of 2.5*104N to lift the shark from rest. If the shark's acceleration equals 1.25 m/s2, what is the sharks mass?

Use F=ma!
 
I'm going to be honest idk what that is. I'm guessing Force=Mass*Acceleration?
 
3- u may use simply the Newton'ssecond law..velocity has nothing to do with the force since acceleration is given just divide force by accelaration to get the mass
 
1- MA=(effort distance/load distance) just use the formula to claculate here load distance is 11m and MA is 48 so effort distance or length of rope is 48*11
 
DerekP said:
I'm going to be honest idk what that is. I'm guessing Force=Mass*Acceleration?

Yup!
 
So since I want mass it would be mass=force/acceleration?
 
DerekP said:
So since I want mass it would be mass=force/acceleration?

Yes.
 
ah thank you everyone
 

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