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sz1989
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Homework Statement
I throw a ball vertically out of a 84meter high window with an intial velocity of 32.2m/s. How many seconds until the ball hits the ground
Kinematics Problem: Ball Thrown from 84m Window with 32.2m/s Velocity
- Thread starter sz1989
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AI Thread Summary
A ball is thrown vertically from an 84-meter high window with an initial velocity of 32.2 m/s, and the goal is to determine the time until it hits the ground. To solve this kinematics problem, relevant equations of motion must be applied, particularly those involving initial velocity, displacement, and acceleration due to gravity. Participants in the discussion emphasize the importance of showing prior attempts at solving the problem to receive effective assistance. The conversation encourages identifying which kinematic equations are applicable to this scenario. Understanding these concepts is crucial for accurately calculating the time until the ball reaches the ground.
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}...
TL;DR Summary: Find Electric field due to charges between 2 parallel infinite planes using Gauss law at any point
Here's the diagram. We have a uniform p (rho) density of charges between 2 infinite planes in the cartesian coordinates system. I used a cube of thickness a that spans from z=-a/2 to z=a/2 as a Gaussian surface, each side of the cube has area A.
I know that the field depends only on z since there is translational invariance in x and y directions because the planes are...
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