Answer:
d = 13 miles
Explanation:
Lets say the position of court house is origin in this case
her office is located at 4 miles west and 4 miles south of court house
so here we have coordinate of the office with respect to court house is given as
![r_1 = (-4\hat i - 4\hat j)](https://tex.z-dn.net/?f=r_1%20%3D%20%28-4%5Chat%20i%20-%204%5Chat%20j%29)
now the position of her home is located at 1 miles east and 8 miles north of the court house
so the coordinates of her home is given as
![r_2 = (1\hat i + 8 \hat j)](https://tex.z-dn.net/?f=r_2%20%3D%20%281%5Chat%20i%20%2B%208%20%5Chat%20j%29)
now the change in the position is given as the distance between office and home
![d = r_2 - r_1](https://tex.z-dn.net/?f=d%20%3D%20r_2%20-%20r_1)
![d = 5 \hat i + 12 \hat j](https://tex.z-dn.net/?f=d%20%3D%205%20%5Chat%20i%20%2B%2012%20%5Chat%20j)
![d = \sqrt{5^2 + 12^2} = 13 miles](https://tex.z-dn.net/?f=d%20%3D%20%5Csqrt%7B5%5E2%20%2B%2012%5E2%7D%20%3D%2013%20miles)
The amount of heat needed to increase the temperature of a substance by
![\Delta T](https://tex.z-dn.net/?f=%5CDelta%20T)
is given by
![Q= mC_s \Delta T](https://tex.z-dn.net/?f=Q%3D%20mC_s%20%5CDelta%20T)
where m is the mass of the substance, Cs is its specific heat capacity and
![\Delta T](https://tex.z-dn.net/?f=%5CDelta%20T)
is the increase of temperature.
If we re-arrange the formula, we get
![C_s = \frac{Q}{m \Delta T}](https://tex.z-dn.net/?f=C_s%20%3D%20%20%5Cfrac%7BQ%7D%7Bm%20%5CDelta%20T%7D%20)
And if we plug the data of the problem into the equation, we can find the specific heat capacity of the substance:
Answer:
Explanation: nigerian what
Answer:
If a man starts running on a boat with an acceleration a with respect to the boat, there is no external force that acts on the Boat+Man system
a) An inflated balloon was pressed against a wall after it has been rubbed with a piece of synthetic cloth. It was found that the balloon sticks to the wall. <u>This is because a positive and negative electric charge is produced, therefore the balloon sticks to the wall.</u>
b) When an object is thrown up, it comes back to ground <u>because of gravitational attraction force of earth</u>.
c) Mountaineers suffer nose bleeding at higher altitudes <u>because the oxygen level decreases with increase in altitude, which the body cannot adjust.</u>
d) Foundations of high rise buildings are kept wide <u>because more is the area of contact, less is the pressure efforts. So, foundations are wide so as to decrease the possibility of the building from falling down.</u>
e) Deep sea divers or high altitude fliers wear special suits <u>so as prevent their body from being crushed by the water pressure. Since water pressure is maximum at deep seas and oceans, therefore, more is the risk of being injured.</u>
f) Walls of a dam are thickened near the base <u>so that the dam can handle the kinetic energy pressure and prevent itself from breaking down, which if not, can lead to flooding</u>.
HOPE IT HELPS...