Particle Motion and Forces: Solving for Velocity, Acceleration, and Force

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To determine the velocity, acceleration, and force acting on a particle of mass 10 kg, a position function must first be established for the variables x and y. Once the position function is defined, the velocity can be derived as the first derivative of the position with respect to time. The acceleration is then found as the second derivative of the position function. Finally, using Newton's second law, the force can be calculated by multiplying the mass by the acceleration. A clear formula and step-by-step explanation are essential for solving this problem effectively.
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Homework Statement


the motion of a particle of mass m=10kg is described by the equation x= y=
where x and y are in meters and t in seconds. Determine the velocity acceleration of the particle and the force acting on it.


Homework Equations





The Attempt at a Solution

 
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i don't see an eq of x and y. :(
 
oh sorry. there is no any eq in front of x and y, can u put one for me and explain it for me
 
Again, you'll want to formulate an equation that gives the position function, and relate that to velocity, then relate that equation to acceleration, at which point you can use Newtons second law to figure out the force acting on the particle.
 
can u show me a formula and how to do it
 

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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