How Do You Calculate Tension and Friction in Physics Problems?

AI Thread Summary
To calculate the tension in the cable of an elevator weighing 2x10^5 N when accelerating upwards at 3 m/s², one must balance the forces: the weight of the elevator and the tension force, incorporating mass and acceleration. For the ice skater coasting to a halt from 10 m/s over 100 meters, the coefficient of friction can be determined by first calculating the deceleration using the given distance and initial velocity. Both problems require applying Newton's second law and understanding the relationship between forces and motion. Providing specific methods attempted can enhance problem-solving discussions. Accurate calculations are essential for determining both tension and friction in these physics scenarios.
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an elevator weighing 2x10^5n supported by a cable what is the tension on the cable when accelerating up is 3m/s2 g=9.8 obviously

and

an ice skater moves at 10 m/s and coasts to a halt in 100 meters on smooth ice what is the coefficient of friction on skates/ice

i have tried many different ways and am not coming up with the answer i was given any help is greatly appreciated.
 
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It might be worthwhile to post some of the "many different ways" you've attempted, as per the template which you deleted when you posted.
 
Question A-elevator)

Forces pointing downwards: Weight of lift
Forces pointing upwards: Tension force, ma(where m and a are mass and acceleration of lift respectivelly)

Balance the two equations to find the missing link: The tension force.

QuestionB-ice skater)

Do exactly the same:

From the data given (v and s) you can find the acceletarion(or rather deceleration), from this the coefficient of friction can be found easily.
 
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