Solving a 100kg Trolley Uphill Problem: Can You Help?

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AI Thread Summary
To solve the problem of a 100kg trolley being pushed up a 30-degree incline, the force required to move the trolley at constant velocity is determined by balancing the forces, resulting in a value of 600N. For accelerating the trolley at 2m/s², the net force must equal the mass times acceleration, leading to a required force of 800N. The discussion highlights the importance of understanding Newton's laws to derive these values correctly. The user expresses confusion over the calculations but has arrived at the correct answers. Clarification on the working out process is sought to reinforce understanding of the physics involved.
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Homework Statement


!00kg trolley is being pushed up a rough 30 degree incline by a constant force F the firction force Ff between the incline and the trolley is 110n gravity is 9.8ms

Homework Equations


Determine the value of F that will move the trolley up the incline at a constant velocity
determine the value of F that will accelerate the trolley up the incline at a value of 2ms
calculate the acceleration if F=1000
what is the value of F if they trolley accelerates up the incline at 10ms

The Attempt at a Solution


Given this question at school have no formulas on how to do completely lost have spent 2 hours trying to find info on the net can't find anything
i attempted first question with mgxsin30* + 110 and got 600N and that was correct answer but i don't think i have the correct working out
and 2nd question i just did fnet = 100x2 600+200 = 800N and that was correct answer but I am pretty sure working out is wrong
 
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You have the correct answers, but please show how you arrived at them. For part a, since the movement is at constant velocity, there must be no net force acting in the direction of the incline (Newton 1, sum of all forces parallel to incline = 0). For part b, the net force acting in the direction of the incline must be equal to 'ma' (Newton 2, sum of all forces parallel to incline = ma).
 
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