2 Dimensional Motion: Net force at an angle

AI Thread Summary
To determine the acceleration in two-dimensional motion, the horizontal component of the net force is divided by the mass. The calculated value of 0.4 m s^-2 is confirmed as correct. The discussion emphasizes the importance of resolving forces into components for accurate calculations. Overall, the method used to find acceleration from net force is validated. This approach is essential for understanding two-dimensional motion dynamics.
ayans2495
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Homework Statement
A mass of 40 kg, sitting on a smooth surface, is acted on by a force of 18 N eastward inclined upward at 30 degrees. Find the acceleration.
Relevant Equations
F=ma
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My solution was to find the horizontal component of the net force and divide that by the mass. Am I right?
 
Your solution is correct.
 
Lnewqban said:
Your solution is correct.
Thank you for your reply. I also got a value of 0.4 m s^-2, is that also correct?
 
Yes, it is.
 
Thread 'Variable mass system : water sprayed into a moving container'

Thread 'Variable mass system : water sprayed into a moving container'

Starting with the mass considerations #m(t)# is mass of water #M_{c}# mass of container and #M(t)# mass of total system $$M(t) = M_{C} + m(t)$$ $$\Rightarrow \frac{dM(t)}{dt} = \frac{dm(t)}{dt}$$ $$P_i = Mv + u \, dm$$ $$P_f = (M + dm)(v + dv)$$ $$\Delta P = M \, dv + (v - u) \, dm$$ $$F = \frac{dP}{dt} = M \frac{dv}{dt} + (v - u) \frac{dm}{dt}$$ $$F = u \frac{dm}{dt} = \rho A u^2$$ from conservation of momentum , the cannon recoils with the same force which it applies. $$\quad \frac{dm}{dt}...
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