Acceleration of an Object Hanging from a Rope on a Moving Boxcar

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The discussion revolves around a physics problem involving a 4.9 kg object hanging from a rope on a moving boxcar that accelerates to the right, creating a 25° angle with the vertical. Participants are asked to identify the forces acting on the object and determine how to calculate the acceleration using the given angle. The primary equation referenced is F=ma, which relates force, mass, and acceleration. Clarification is sought on how to incorporate the angle into the calculations for acceleration. Understanding the resultant force's direction is also emphasized as crucial for solving the problem.
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acceleration question!

Homework Statement


A 4.9 kg object hangs at one end of a rope that
is attached to a support on a railroad boxcar.
When the car accelerates to the right, the
rope makes an angle of 25◦ with the vertical
The acceleration of gravity is 9.8 m/s2 .
look at the picture

Homework Equations


F=ma


The Attempt at a Solution


I used the formula to find F of the object, but I am not sure how to use the angle given to find acceleration
 

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Show your work. What forces act on the object? What is the direction of the resultant force? ehild
 

Thread 'Errors and significant figures'

I multiplied the values first without the error limit. Got 19.38. rounded it off to 2 significant figures since the given data has 2 significant figures. So = 19. For error I used the above formula. It comes out about 1.48. Now my question is. Should I write the answer as 19±1.5 (rounding 1.48 to 2 significant figures) OR should I write it as 19±1. So in short, should the error have same number of significant figures as the mean value or should it have the same number of decimal places as...
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Thread 'A cylinder connected to a hanging mass'

Thread 'A cylinder connected to a hanging mass'

Let's declare that for the cylinder, mass = M = 10 kg Radius = R = 4 m For the wall and the floor, Friction coeff = ##\mu## = 0.5 For the hanging mass, mass = m = 11 kg First, we divide the force according to their respective plane (x and y thing, correct me if I'm wrong) and according to which, cylinder or the hanging mass, they're working on. Force on the hanging mass $$mg - T = ma$$ Force(Cylinder) on y $$N_f + f_w - Mg = 0$$ Force(Cylinder) on x $$T + f_f - N_w = Ma$$ There's also...
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