Answer:
153.2 J
Explanation:
Let's first list our given parameters;
mass (m) of the block = 10 kg
which slides down ( i.e displacement) = 2 m
kinetic coefficient of friction (μk) = 0.2
In the diagram shown below; if we take an integral look at the component of force in the direction of the displacement; we have
Fcos 40°
100 (cos 40°)
76.60 N
Workdone by the friction force can now be determined as:
W = 
× displacement
W = 76.60 × 2
W = 153.2 J
∴ the work done by the friction force = 153.2 J
Answer:
Condition to break: ![H[j] \geq max {H[2j] , H[2j+1]}](https://tex.z-dn.net/?f=H%5Bj%5D%20%5Cgeq%20max%20%7BH%5B2j%5D%20%2C%20H%5B2j%2B1%5D%7D)
Efficiency: O(n).
Explanation:
Previous concepts
Heap algorithm is used to create all the possible permutations with K possible objects. Was created by B. R Heap in 1963.
Parental dominance condition represent a condition that is satisfied when the parent element is greater than his children.
Solution to the problem
We assume that we have an array H of size n for the algorithm.
It's important on this case analyze the parental dominance condition in order to the algorithm can work and construc a heap.
For this case we can set a counter j =1,2,... [n/2] (We just check until n/2 since in order to create a heap we need to satisfy minimum n/2 possible comparisions![and we need to check this:Break condition: [tex]H[j] \geq max {H[2j] , H[2j+1]}](https://tex.z-dn.net/?f=%20and%20we%20need%20to%20check%20this%3A%3C%2Fp%3E%3Cp%3E%3Cstrong%3EBreak%20condition%3A%20%3C%2Fstrong%3E%5Btex%5DH%5Bj%5D%20%5Cgeq%20max%20%7BH%5B2j%5D%20%2C%20H%5B2j%2B1%5D%7D)
And we just need to check on the array the last condition and if is not satisfied for any value of the counter j we need to stop the algorithm and the array would not a heap. Otherwise if we satisfy the condition for each ![j =1,2,.....,[n/2]p](https://tex.z-dn.net/?f=j%20%3D1%2C2%2C.....%2C%5Bn%2F2%5Dp)
then we will have a heap.
On this case this algorithm needs to compare 2*(n/2) times the values and the efficiency is given by O(n).
Answer:
net amount of energy change of the air in the room during a 30-min period = 660KJ
Explanation:
The detailed calculation is as shown in the attached file.
Answer: Both Technician A and B are correct.
Explanation:
Technicians A and B are both right about their diagnosis. The Society of Automotive Engineers performed extensive research on vehicle brake fluids and found that there is typically a 2% moisture content in the brake fluid after a year of operating a vehicle. And as the moisture content of the brake fluid rises, the boiling point of the brake fluid decreases as well.
