Answer: Plot of
vs
would be linear with a slope of 4.
Explanation:
Given
Equation is 
Taking log both sides

It resembles with linear equation 
Here, slope of
vs
is 4.
Answer:Yes,266.66 MPa
Explanation:
Given
Yield stress of material =140 MPa
Cross-section of 
Force(F)=8 MN
Therefore stress due to this Force(
)



Since induced stress is greater than Yield stress therefore Plastic deformation occurs
Answer:
80.16 m/s^2
at t=2 s
x=42.3 m
y=16 m
z=14 m
Explanation:
solution
The x,y,z components of the velocity are donated by the i,j,k vectors.

acceleration is a derivative of velocity with respect to time.
![a_{x}=\frac{d}{dt} v_{x}=\frac{d}{dt}[16t^{2}]=32t\\a_{y}=\frac{d}{dt} v_{y}=\frac{d}{dt}[4t^{3}]=12t^{2} \\a_{z}=\frac{d}{dt} v_{z}=\frac{d}{dt}[5t+2]=5](https://tex.z-dn.net/?f=a_%7Bx%7D%3D%5Cfrac%7Bd%7D%7Bdt%7D%20v_%7Bx%7D%3D%5Cfrac%7Bd%7D%7Bdt%7D%5B16t%5E%7B2%7D%5D%3D32t%5C%5Ca_%7By%7D%3D%5Cfrac%7Bd%7D%7Bdt%7D%20v_%7By%7D%3D%5Cfrac%7Bd%7D%7Bdt%7D%5B4t%5E%7B3%7D%5D%3D12t%5E%7B2%7D%20%5C%5Ca_%7Bz%7D%3D%5Cfrac%7Bd%7D%7Bdt%7D%20v_%7Bz%7D%3D%5Cfrac%7Bd%7D%7Bdt%7D%5B5t%2B2%5D%3D5)
evaluate acceleration at 2 seconds

the magnitude of the acceleration is the square root of the sum of the square of each component of the acceleration.

position is the integral of velocity with respect to time position at a time can be found by taking by taking the definite intergral of each component.

Answer:
The voltage needed to accelerate the electron beam is 2.46 x 10^16 Volts
Explanation:
The rate of electron flow is given as:
q = 1015 electrons per second
The total current is given by:
Total Current = (Rate of electron flow)(Charge on one electron)
Total Current = I = (1015 electrons/s)(1.6 x 10^-19 C/electron)
I = 1.624 x 10^-16 A
Now, we know that electric power is given as:
Electric Power = Current x Voltage
P = IV
V = P/I
V = 4 W/1.624 X 10^-16 A
<u>V = 2.46 x 10^16 Volts</u>