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What is the Relationship Between Spring Stretching Distance and Applied Work?
- Thread starter firezap
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AI Thread Summary
The discussion focuses on understanding the relationship between spring stretching distance and the work applied in a physics problem. Key equations include Fs = kx for force and Es = 1/2 kx^2 for elastic potential energy. The problem involves analyzing how a weight affects the stretch of a spring, with the hint suggesting dividing the spring into segments to determine individual stretches. By applying the concept of proportionality, it is concluded that the weight of a fraction of the rod will stretch the spring accordingly. The final calculations confirm the total stretch based on the distribution of weight across the spring segments.
Neglect gravity other than that of water; neglect friction.
F1=ρgsh=1000*10*1*(1+4)=50000 N;
F1=ρgsh=1000*10*0.1*4=4000 N;
F3=50000-4000=46000 N?
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}...
I was told forces are vectors so they can be divided into x and y components, but what about the normal force or the force of static friction? do you divide those into x and y components if say you had a block that was lying on an angled surface?
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