Answer:
The center of mass of the two-block system is staying the same and it can be explained with the help of linear momentum equation.
Explanation:
The center of mass of the two-block system is staying the same and it can be explained with the help of linear momentum equation.
Equation:
P=mv
This equation holds if no external force is acting on the system it means the momentum of the system is constant.
In our case, there is no external force which means the total momentum of system is constant:
P=constant
Total mass of system is also constant:
m=constant
It means the velocity of the system is constant (from above equation) thus center of mass of the two-block system is staying the same
We use the binomial theorem to answer this question. Suppose we have a trinomial (a + b)ⁿ, we can determine any term to be:
[n!/(n-r)!r!] a^(r) b^(n-r)
a.) For x⁵y³, the variables are: x=a and y=b. We already know the exponents of the variables. So, we equate this with the form of the binomial theorem.
r = 5
n - r = 3
Solving for n,
n = 3 + 5 = 8
Therefore, the coefficient is equal to:
Coefficient = n!/(n-r)!r! = 8!/(8-5)!8! = 56
b.) For x³y⁵, the variables are: x=a and y=b. We already know the exponents of the variables. So, we equate this with the form of the binomial theorem.
r = 3
n - r = 5
Solving for n,
n = 5 + 3 = 8
Therefore, the coefficient is equal to:
Coefficient = n!/(n-r)!r! = 8!/(8-3)!8! = 56
If the impulse is 25 N-s, then so is the change in momentum.
The mass of the ball is extra, unneeded information.
Just to make sure, we can check out the units:
<u>Momentum</u> = (mass) x (speed) = <u>kg-meter / sec</u>
<u>Impulse</u> = (force) x (time) = (kg-meter / sec²) x (sec) = <u>kg-meter / sec</u>
Explanation:
Two waves with the same wavelength are in phase if there phase difference is zero or an integral multiple of wavelength. Thus the integer part of any difference expressed in wavelength can be discarded.
The phase difference of 5.4 wavelength is equivalent to is one of 0.4 wavelength thus the interference is an intermediate interference close to fully destructive.
