Answer:
magnitude = 7.446 km, direction = 75.22° north of east
Explanation:
From the questions,
To get the the magnitude of the resultant vector we use Pythagoras theorem
a² = b²+c²
From the diagram,
y² = 1.9²+7.2²
y² = 55.45
y = √(55.45)
y = 7.446 km.
The direction of the dolphin is given as,
θ = tan⁻¹(7.2/1.9)
θ = tan⁻¹(3.7895)
θ = 75.22° north of east
Hence the magnitude of the resultant vector = 7.446 km, and it direction is 75.22° north of east
Answer:
Kindly check explanation
Explanation:
Motion of an object could be explainwd as how a body changes position over time. Some of the proven facts about motion are stated by Sor Isaac Newton, named the Laws of motion :
1. A body will continue on it's state of rest or uniform motion in a straight line unless acted upon by a force to make it act otherwise.
2.) The second law explains that the force acting in an object is a product of the mass and acceleration.
Force = mass * acceleration due to gravity
3.) To every action, there is an equal and opposite reaction.
That is ; applied force in the positive direction on an object, yield an equal amount of force in the opposite direction.
Answer:
102,658.24 pascals
Explanation:
There are 133.3223684 pascals in one mmHg
770 x 133.3223684 = 102,658.24 pascals
Answer: 1.8 g
Explanation:
We start first, by calculating the amount of Helium
n = m/M
m = mass of Helium
M = molar mass if Helium
n = 2/4 = 0.5 moles
proceeding further, we use ideal gas law. PV = nRT
Then we have
P1V1/n1T1 = P2V2/n2T2
So that,
n2 = n1T1P2V2/P1V1T2
From the question, we know that, P1 = P2, and T1 = T2. So that,
n2 = n1v2/v1
n2 = (0.5 * 3.9) / 2
n2 = 1.95/2
n2 = 0.975 moles. With this, we can determine the mass, m2 of Helium
n = m/M
m = n * M
m = 0.975 * 3.9
m = 3.8
The difference between both masses are 3.8 - 2 = 1.8 g
Thus, 1.8 g of Helium was added to the cylinder