Solving the Mass Sliding Problem with Increased Height h

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SUMMARY

The discussion centers on calculating the time required for a mass to slide a distance d from a resting position when the height h is increased by a factor of 4. The original height h is 5, leading to a new height of 20. The angle theta is maintained at 30 degrees. The participant correctly identifies that increasing the height by a factor of 4 means multiplying the original height by 4, resulting in a new height of 20, not 6.25. The relevant equations discussed include g*sin(theta) and d=1/2at^2.

PREREQUISITES
  • Understanding of basic physics concepts such as gravitational acceleration and motion.
  • Familiarity with trigonometric functions, particularly sine.
  • Knowledge of kinematic equations, specifically d=1/2at^2.
  • Ability to manipulate and solve algebraic equations.
NEXT STEPS
  • Study the effects of varying angles on sliding motion using g*sin(theta).
  • Explore kinematic equations in greater depth, focusing on acceleration and distance.
  • Learn about the principles of energy conservation in sliding motion.
  • Investigate the impact of friction on sliding objects on inclined planes.
USEFUL FOR

Students studying physics, educators teaching mechanics, and anyone interested in understanding motion on inclined planes.

kirste
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My problem states, 2s is required for the mass to slide the distance d from a resting position. If the height h is increased by a factor of 4, while holding theta(angle) at 30, how long does it take the mass to slide the new distance d from rest?

height h =5.

My main question is (don't laugh please) When increasing by a factor of 4, is my height now 6.25? I know how to do the rest of the problem. g*sin*theta, then to d=1/2at^2, but I seem to have completely lost my brain regarding that part of the problem:)

Thanks
 
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An increase by a factor of 4 means that you multiply the original value by 4.

P.S. The Tutorial Sub-Forum is not for posting homework questions. Please post homework questions in the appropriate forum next time :smile:
 

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