D = V1( t ) + 1/2g( t )^2
50m = 0m/s( t ) + 1/2(9.8m/s^2)*( t )^2
V1*t cancels out
50m = (4.9m/s^2)*(t)^2
50m/(4.9m/s^2) = t^2
Metres unit cancels out so we are left with s^2
10.204s^2 = t^2
Square root both sides to cancel out square
t = 3.19 s
Momentum = (mass) x (speed)
Mass is constant, so the rate of change of momentum is
(mass) x (rate of change of speed) .
But (rate of change of speed ) is just acceleration.
So the rate of change of momentum is (mass) x (acceleration).
But (mass) x (acceleration) is Force.
So Force is the rate of change of momentum. Verrrrrrrry interesting !
In this problem, Force = (40 kg) x (9 m/s²) = 360 newtons.
One 'Newton' is one kilogram-meter per second² .
Unit of momentum is (kilogram)-(meter per second), so 'newton'
is also a unit of time rate of change of momentum.
Rate of change of momentum is 360 momentum units per second.
Answer:
A
Explanation:
It will increase cause the more branches you add the total current will increase
Answer:
See the explanation below
Explanation:
To solve this problem we must decompose the initial speeds into x & y.
![v_{o}_{x}=25*cos(45)=17.67[m/s]\\v_{o}_{y}=25*sin(45)=17.67[m/s]\\](https://tex.z-dn.net/?f=v_%7Bo%7D_%7Bx%7D%3D25%2Acos%2845%29%3D17.67%5Bm%2Fs%5D%5C%5Cv_%7Bo%7D_%7By%7D%3D25%2Asin%2845%29%3D17.67%5Bm%2Fs%5D%5C%5C)
The acceleration of gravity is equal to g = 9.81[m/s^2] downward.
The maximum height is when the velocity of the projectile is zero in the component y, that is, it will not be able to go higher, by means of the following kinematic equation we can find that time, for that specific condition.
a)
![v_{y}=(v_{y})_{0}+a*t\\0 = 17.67 - 9.81*t\\17.67 = 9.81*t\\t=1.8 [s]](https://tex.z-dn.net/?f=v_%7By%7D%3D%28v_%7By%7D%29_%7B0%7D%2Ba%2At%5C%5C0%20%3D%2017.67%20-%209.81%2At%5C%5C17.67%20%3D%209.81%2At%5C%5Ct%3D1.8%20%5Bs%5D)
Note: Acceleration is taken as negative as it is directed downwards.
b)
The position in the x component can be found using the following kinematic equation
![x=(v_{x})_{o}*t\\x=17.67*1.8\\x=31.82[m]](https://tex.z-dn.net/?f=x%3D%28v_%7Bx%7D%29_%7Bo%7D%2At%5C%5Cx%3D17.67%2A1.8%5C%5Cx%3D31.82%5Bm%5D)
The position in the y component can be found using the following kinematic equation
![y =(v_{y})_{o}*t+\frac{1}{2} *g*t^{2} \\y=17.67*1.8-0.5*9.81*(1.8)^{2}\\ y=15.91[m]](https://tex.z-dn.net/?f=y%20%3D%28v_%7By%7D%29_%7Bo%7D%2At%2B%5Cfrac%7B1%7D%7B2%7D%20%2Ag%2At%5E%7B2%7D%20%5C%5Cy%3D17.67%2A1.8-0.5%2A9.81%2A%281.8%29%5E%7B2%7D%5C%5C%20y%3D15.91%5Bm%5D)
c)
Since the motion on the X-axis is at constant speed, there is no acceleration, so the only acceleration that exists is due to gravity
d)
In the attached image we can see, the projectile with the vectors of acceleration and velocity.