1. There are 3 people pulling on a 10kg sled that is moving in the positive x-di
ID: 2168687 • Letter: 1
Question
1. There are 3 people pulling on a 10kg sled that is moving in the positive x-direction. L is pulling at 10N at the 60 degrees above the x-axis, P is pulling at 10N in the horizontal positive x direction, and C is pulling at an unknown magnitude at 30 degrees below the positive x-axis. What is the magnitude of C and what is the acceleration?This is how I solved it:
sum of Fy= 10sin60 + 0 - Csin30 =0
I got C= 17.321. I think this the magnitude, but to check, I found Cx and Cy and used that to check the magnitude,
Cx= 17.321cos30= 15
Cy=-17.32sin30= - 8.66
C= sqrt (15)^2 + (8.66)^2 = 17.32 newtons.
To find acceleration, I used
sum of Fx(since its moving in the x-direction)= 10cos60+10+17.32cos30=10(a)
a= 3.00 m/s^2
2. A planet is 10^12 km away from another planet and has an attractive force of 50 N between them. What is the distance between them when the force increases to 5 x10^7 N.
Teacher did not give anything else, but from what I could tell, as only the force and distance is changing and GmM stays the same, what I did is F= GmM/r^2 ---> F1r1^2 = GmM, and F2r2^2= GmM, and set them equal to each other.
F1r1^2= F2r2^2
(50)(10^9m)=(5e7)(r2^2)
r2= sqrt( (50)(10^9m)/(5e7) = 1,000,000m
I tried my best to logically do these questions, but I am not sure if I did them correctly. If you could please take a look at this, and let me know if I made a mistake, I would really really appreciate it. Thank you!!
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