How can the required force be calculated for pushing a block up an incline?

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SUMMARY

The required force to push a 20,000 kg block up a ramp that rises 1 meter over a length of 20 meters is calculated to be 9800 N. This value is derived using the formula for net force, where net force equals mass multiplied by acceleration. The acceleration down the ramp is determined to be 0.49 m/s², which is a result of the gravitational acceleration (g = 9.8 m/s²) adjusted for the incline's angle. The calculation confirms that the force needed to overcome gravity while pushing the block up the ramp is significantly less than the block's weight.

PREREQUISITES
  • Understanding of Newton's Second Law of Motion
  • Knowledge of gravitational acceleration (g = 9.8 m/s²)
  • Basic trigonometry for calculating incline angles
  • Familiarity with force and mass units (N, kg, m/s²)
NEXT STEPS
  • Study the derivation of forces on inclined planes in physics
  • Learn how to calculate the angle of incline using trigonometric functions
  • Explore the concept of friction and its effect on forces on ramps
  • Investigate real-world applications of inclined planes in engineering
USEFUL FOR

Physics students, engineers, and anyone interested in understanding the mechanics of forces on inclined planes will benefit from this discussion.

henlet
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Homework Statement



as a new physics student, I'm not sure how to derive the formula i need to answer this question.

there's a ramp that rises 1m in height and 20m in length. a block weighing 20,000kg needs to be pushed up it. (yup, we're building the pyramids). how much force is needed to push the block up the ramp?


Homework Equations



so i know that net force = mass * acceleration.
i also think that the net force downhill along this ramp is 1m/20m or .05% of the block's weight, which is 1000kg.
the book tells me the answer is 9800N.


The Attempt at a Solution



9800 N = 20,000kg * acceleration
where N = kgm/s2
acceleration = .49 m/s2, but why? and i suppose the book is rounding in some way to come up with 9800 N instead of 10,000?
 
Physics news on Phys.org
9.8*.05.your answer is 1000 kg right.multiply by g to find in N.I hope you know what is g.
 
If you have the block fall directly to earth, then you have an acceleration g=9.8m/s2/SUP]. You need force of mg to lift the block.

Now imagine if the block slide down the ramp. The acceleration must be slower than the direct drop.

Now you have mass and new acceleration value.
 

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