How Do You Solve Physics Problem MASS 7.1?

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The discussion revolves around solving a physics problem related to a box on a frictionless ramp, specifically focusing on calculating acceleration and forces. The user initially struggles to find the correct approach but determines the acceleration to be -2.5 m/s² and the angle to be 14.47 degrees. They calculate the normal force as 17.38 N, but this is deemed incorrect according to the reference site. The conversation emphasizes the importance of drawing a free body diagram (FBD) and resolving forces into their components to accurately analyze the situation. The user seeks clarification on the correct forces acting on the box, particularly the force along the x-axis.
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Homework Statement



The problem is in the attachment.

Homework Equations


The Attempt at a Solution



I didn't know how to answer this after trying many times. Please tell how to answer this question. How to approach it, please.

MASS IS 7.1 NOT 7.6.
 

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You have a graph of velocity vs time.
Can you find the acceleration of the box from this graph? Yes you can.
Can you find the force acting on the box from the acceleration. Again yes.
Do you know of any other forces acting on the box? ie draw a FBD.
Resolve your force(s) into x and y components and compute.
remember -- > frictionless ramp.
 
Okay.

So I found that the acceleration is -2.5 m/s2. I then found that the theta (angle) is 14.47, which is, according to the site, true. Since the net force along the y component is 0 N, then according to Newton's law, N - mgsin@ = 0. (@ is theta). N is then 17.38 N.

However, it is wrong according to the site. Anything wrong?

Oh, and the mass is 7.1 not 7.6.
 
Would not the force along the x-axis be mgsin@? And that is the force that slows the box down.
If you drew the FBD, the normal force, N, would then be what.
 
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