- #1
Kumar8434
- 121
- 5
##\frac{dp}{dt}## is given the name 'force' but ##\frac{dp}{ds}## has no name. I know 'force' is useful for calculations and predicting the future of the system. If 'convenience in calculations' is the reason why some quantities are given names, then I don't see why ##\frac{dp}{ds}## doesn't have a name.
Let's call ##\frac{dp}{ds}## 'x-force' denoted by ##x##. Then if x-force is a function of time ##x(t)##, then,
$$\int_{t_1}^{t_2}x(t)dt=m(\ln(v_2)-\ln(v_1))$$
which looks similar to the work-energy equation:
$$\int_{s_1}^{s_2}F(s)ds=\frac{1}{2}m(v_2^2-v_1^2)$$
So, x-force can also be used for calculations but is not given a name. Then, what is the basis for calling a physical quantity important and giving it a name?
Let's call ##\frac{dp}{ds}## 'x-force' denoted by ##x##. Then if x-force is a function of time ##x(t)##, then,
$$\int_{t_1}^{t_2}x(t)dt=m(\ln(v_2)-\ln(v_1))$$
which looks similar to the work-energy equation:
$$\int_{s_1}^{s_2}F(s)ds=\frac{1}{2}m(v_2^2-v_1^2)$$
So, x-force can also be used for calculations but is not given a name. Then, what is the basis for calling a physical quantity important and giving it a name?