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# Mechanics -Slopes watch

1. Hey, I need help with this Mechanics question, we went through a bit of it in class, and had to finish it at home.

This is the question:

A cyclist of mass 60kg rides a cycle of mass 7kg. The greatest forward force that she can produce is 200N but she is subject to air resistance and friction totalling 50N.

I) Draw a diagram showing forces acting on the cyclist when she is going uphill.
II) What is the angle of the steepest slope that she can ascend?

The cyclist reaches a slope of 8 degrees with a speed of 5m/s and rides as hard as she can up it.

III) Find her acceleration and the distance she travels in 5s.
IV) What is her speed now?
I understand part I, I'm not completely sure about II, I can't remember when to use sin or cos, and need to go through it again. We have done these in class though.

At home, I have done some of part III and found her acceleration but am not sure how to work out the distance, or what her speed is in part IV.

Do I need to use suvat? Can someone please give me some guidance, thanks!
2. (Original post by LewisL)
Hey, I need help with this Mechanics question, we went through a bit of it in class, and had to finish it at home.

This is the question:

I understand part I, I'm not completely sure about II, I can't remember when to use sin or cos, and need to go through it again. We have done these in class though.

At home, I have done some of part III and found her acceleration but am not sure how to work out the distance, or what her speed is in part IV.

Do I need to use suvat? Can someone please give me some guidance, thanks!
Just a general hint.
Spoiler:
Show
When resolving forces parallel to the slope the component of the weight is
and perpendicular.

Suvat may come into it. Also
3. Okay, thank you.

What does mg stand for, I'm guessing mass*gravity?
4. (Original post by LewisL)
Okay, thank you.

What does mg stand for, I'm guessing mass*gravity?
Yep although technically g is the acceleration due to freefall/gravity. Good luck

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