Why Was FNetx Changed to ma in the Physics Problem?

  • Thread starter Thread starter aprilrenee
  • Start date Start date
AI Thread Summary
The discussion centers on the application of Newton's second law of motion, which states that the net force acting on an object is equal to its mass times its acceleration (FNet = ma). The user questions the transition from FNetx to ma in their physics problem, seeking clarification on this fundamental principle. The problem involves calculating the mass of a large telephone using a horizontal force and the resulting acceleration. The calculations provided demonstrate the relationship between force, mass, and acceleration, ultimately leading to the determination of the mass. Understanding this conversion is essential for solving physics problems involving forces and motion.
aprilrenee
Messages
2
Reaction score
0

Homework Statement


In 1988, a very large telephone was constructed in the NEtherlands. In order to move the phone, a 7980 N horizontal force was applied that result in an acceleration of 1.33 m/s^2 along level ground.


Homework Equations


I received this question on a practice test for my exam tomorrow. I also have the work (shown below.)

- I do not understand how/why FNetx was changed to ma.
Why was this done?

The Attempt at a Solution



FNety = Fw- W (0 because not moving vertically.)
FNetx = Fa-Fk
ma = Fa - (mu)mg
ma+ (mu)k mg = Fa
m (a+(mu)k g) = Fa
m = Fa / a+ (mu)k g
m = 7890 / [(1.33m/s^2) + (.180)(9.80m/s^2)]
m = 2579.18552 kg
m = 2580 kg

... So on and so forth.
 
Physics news on Phys.org
aprilrenee said:
- I do not understand how/why FNetx was changed to ma.
Why was this done?
Here's a hint. What is Isaac Newton's second law of motion?
 
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}...
Back
Top