How to Calculate Acceleration on an Inclined Slide?

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SUMMARY

The discussion focuses on calculating acceleration for objects sliding down inclined surfaces, specifically a 55kg lifeguard and a 900kg polar bear. For the lifeguard on a 35-degree incline with a friction coefficient of 0.050, the acceleration can be determined by applying Newton's second law after calculating the net force, which includes the gravitational force and frictional force. The polar bear's scenario involves calculating the frictional force on a 25-degree incline, also with a friction coefficient of 0.050, which can be computed using the formula for frictional force.

PREREQUISITES
  • Understanding of Newton's second law of motion
  • Knowledge of gravitational force calculations
  • Familiarity with frictional force equations
  • Basic trigonometry for calculating forces on inclined planes
NEXT STEPS
  • Calculate gravitational force on an inclined plane using the formula Fg = mg sin(θ)
  • Learn how to compute frictional force using Ff = μFn
  • Study the application of Newton's second law in different scenarios
  • Explore examples of acceleration calculations on various inclines
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Physics students, educators, and anyone interested in understanding dynamics on inclined planes and the effects of friction on motion.

ecyka2000
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1) Kim the 55kg lifeguard slides down a water slide that is inclined at an angle of 35degree to the horizontal into the community swimming pool. Ifthe coefficient of the friction of the slide is .050 what is kims rate of acceleration as she slides down?

there is another problem

2) At sea world a 900 kg polar bear slides down a wet slide inclined at an angel of 25degree to the horizontal. The coefficient of friction between the bear and the slide is .050. What frictional force impedes the bears motion down the slide?

I can do number 2 but number one i don't know how to find the acceleration. Do i do the same as number 2 then minus the impede force by the Fn or Fapp then divide by the mass? PLz help thanks
 
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ecyka2000 said:
I can do number 2 but number one i don't know how to find the acceleration. Do i do the same as number 2 then minus the impede force by the Fn or Fapp then divide by the mass? PLz help thanks

If I understand what you're asking, yes. Take the force of her sliding down the slide, minus the frictional force. Then apply Newton's second law.
 

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