Momentum is simply a quantity that measures the impact of a moving body over something is due to the mass it posseses or the velocity with which it is moving.
Mathematically,ut is the product of mass and velocity of a body.
It is represented by capital p...(P)
P=mv
Solution to the problem:
we know P=mv
For mass,eliminate m from the equation,
m=P/v
Put values,
m=5000/5=1000kg
Answer:
![1.368\times 10^{-20}\ J](https://tex.z-dn.net/?f=1.368%5Ctimes%2010%5E%7B-20%7D%5C%20J)
Explanation:
q = Charge in the potassium ion = ![19e-18e](https://tex.z-dn.net/?f=19e-18e)
e = Charge of electron = ![1.6\times 10^{-19}\ C](https://tex.z-dn.net/?f=1.6%5Ctimes%2010%5E%7B-19%7D%5C%20C)
= Change in potential = ![0-(-85.5\times 10^{-3})](https://tex.z-dn.net/?f=0-%28-85.5%5Ctimes%2010%5E%7B-3%7D%29)
Change in electric potential is given by
![E=q(V_2-V_1)\\\Rightarrow E=(19e-18e)(0-(-85.5\times 10^{-3})\\\Rightarrow E=1.6\times 10^{-19}\times 85.5\times 10^{-3}\\\Rightarrow E=1.368\times 10^{-20}\ J](https://tex.z-dn.net/?f=E%3Dq%28V_2-V_1%29%5C%5C%5CRightarrow%20E%3D%2819e-18e%29%280-%28-85.5%5Ctimes%2010%5E%7B-3%7D%29%5C%5C%5CRightarrow%20E%3D1.6%5Ctimes%2010%5E%7B-19%7D%5Ctimes%2085.5%5Ctimes%2010%5E%7B-3%7D%5C%5C%5CRightarrow%20E%3D1.368%5Ctimes%2010%5E%7B-20%7D%5C%20J)
The energy is ![1.368\times 10^{-20}\ J](https://tex.z-dn.net/?f=1.368%5Ctimes%2010%5E%7B-20%7D%5C%20J)
Answer:
a) x = 8.8 cm * cos (9.52 rad/s * t)
b) x = 8.45 cm
Explanation:
This is a Simple Harmonic Motion, and most Simple Harmonic Motion equations start from the equilibrium point. In this question however, we are starting from the max displacement the equations, and thus, it ought to be different.
From the question, we are given that
A = 8.8 cm = 0.088 m
t = 0.66 s
Now, we need to find the angular speed w, such that
w = 2π/T
w = (2 * 3.142) / 0.66
w = 6.284 / 0.66
w = 9.52 rad/s
The displacement equation of Simple Harmonic Motion is usually given as
x = A*sin(w*t)
But then, the equation starts from the equilibrium point at 0 sec, i.e x = 0 m
When you have to start from the max displacement, then the equation would be
x = A*cos(w*t).
So when t = 0 the cos(0) = 1, and then x = A which is max displacement.
Thus, the equation is
x = 8.8 cm * cos (9.52 rad/s * t)
At t = 1.7 s,
x = 8.8 cos (9.52 * 1.7)
x = 8.8 cos (16.184)
x = -8.45 cm
So looking at the problem, you are going to want to start by finding a common denominator (1) in this case: yb, and combining like terms (2). You are then going to want to multiply both sides by (yb) as the reciprocal to the fractions (3).
1) 3x 6g
---- = ---
y b
2) 3xb 6gy
------ = -----
yb yb
3) 3xb 6gy
(yb) ------ = -----
yb yb
which becomes: 3xb = 6gy
So after this, things become much more simple, as all you have to do is isolate the (x), which can be done by dividing the entire equation by (3b).
3xb 6gy
----- = -----
3b 3b
where you will then find your answer of:
2gy
x = ----- (simplified by the GCM of 3)
b