What is the acceleration of the object?

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AI Thread Summary
The discussion revolves around calculating the force and acceleration of a 3 kg object moving in a circular path with a radius of 2.5 m at a speed of 5.7 m/s. The correct force required to maintain circular motion is approximately 39 N, calculated using the formula F = m*a, where acceleration is derived from a = (v^2)/r, yielding about 13 m/s². Participants clarify that the acceleration was correctly calculated but needed rounding for simplicity. The conversation emphasizes the importance of correctly applying physics equations and understanding vector notation. Overall, the thread highlights common challenges in solving circular motion problems in physics.
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Homework Statement



Consider a 3 kg object moving in a 2.5 m radius circle at 5.7 m/s to answer the next 2 questions.

4. How much force is required to keep the object moving in the circle?
1.3 N
3.3 N
39 N
6.8 N


5. What is the acceleration of the object?
13 m/s2
39 m/s2
6.8 m/s2
2.3 m/s2



Homework Equations



For the first one:
F=m*a
a=(v^2)/r = (5.7^2)/2.5 = 12.9996

thus, F=3*12.9996 = 38.988N


The Attempt at a Solution


I think I got the first one. Is that one the right answer? I can't figure out the second one though. Thanks for your help!
 
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You cannot figure out acceleration? What is 'a' then?
 
Actually I think you have already got it. Just round your answer off.
(And some vector signs won't hurt...)
 
Oh my gosh you're right. I did too much work lol. Thanks!
 
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