Given :
Force,
.
Force is acting at point A( 2 m, 3 m ) and B( 3 m, 5 m )
To Find :
The work done by force F .
Solution :
Displacement vector between point A and B is :

Now, we know work done is given by :

W = 12000 J
Therefore, work done by force is 12000 J .
Answer:
The right choice would be Option b (2.545).
Explanation:
The given values are:
The aggregate blend will be:
= 55%
= 2.631
= 25%
= 2.331
= 20%
= 2.609
Now,
On applying the formula, we get
⇒ 
On substituting the values, we get
⇒ 
⇒ 
⇒ 
Answer:
Amount of concrete need to make slab = 1,500 feet³
Explanation:
Given:
Length of slab = 50 feet
Width of slab = 30 feet
Height of slab = 1 feet
Find:
Amount of concrete need to make slab
Computation;
Amount of concrete need to make slab = Volume of cuboid
Volume of cuboid = (l)(b)(h)
Amount of concrete need to make slab = (50)(30)(1)
Amount of concrete need to make slab = 1,500 feet³
Answer:
0.024 m = 24.07 mm
Explanation:
1) Notation
= tensile stress = 200 Mpa
= plane strain fracture toughness= 55 Mpa
= length of a surface crack (Variable of interest)
2) Definition and Formulas
The Tensile strength is the ability of a material to withstand a pulling force. It is customarily measured in units (F/A), like the pressure. Is an important concept in engineering, especially in the fields of materials and structural engineering.
By definition we have the following formula for the tensile stress:
(1)
We are interested on the minimum length of a surface that will lead to a fracture, so we need to solve for 
Multiplying both sides of equation (1) by 
(2)
Sequaring both sides of equation (2):
(3)
Dividing both sides by
we got:
(4)
Replacing the values into equation (4) we got:
![\lambda=\frac{1}{\pi}[\frac{55 Mpa\sqrt{m}}{1.0(200Mpa)}]^2 =0.02407m](https://tex.z-dn.net/?f=%5Clambda%3D%5Cfrac%7B1%7D%7B%5Cpi%7D%5B%5Cfrac%7B55%20Mpa%5Csqrt%7Bm%7D%7D%7B1.0%28200Mpa%29%7D%5D%5E2%20%3D0.02407m)
3) Final solution
So the minimum length of a surface crack that will lead to fracture, would be 24.07 mm or more.
Answer:

Explanation:
From the question we are told that:
Initial Pressure 
Initial Temperature 
Final Pressure 
Final Temperature 
Work Output 
Generally Specific Energy from table is
At initial state


With
Specific Volume 
At Final state


Generally the equation for The Process is mathematically given by

Assuming Mass to be Equal

Where



Therefore

