The first thing you should know for this case is that density is defined as the quotient between mass and volume.
d = m / v
We have two states:
State 1:
d1 = 1.20 g / l
v1 = 1.02 × 106 l
State 2:
v2 = 1.09 × 106 l
Since the mass remains constant, then:
m = d1 * v1
Then, the density in state two will be:
d2 = m / v2
Substituting the value of the mass we have:
d2 = (d1 * v1) / v2
Substituting the values:
d2 = ((1.20) * (1.02 * 10 ^ 6)) / (1.09 * 10 ^ 6) = 1.12 g / l
answer:
The density of the heated air in the balloon is 1.12 g / l
Answer:
It is positive and smaller in magnitude than the initial acceleration.
Explanation:
We know that acceleration is defined as the change of velocity in a given time.
We see that the time interval is equal to 30 seconds (70 - 40). In this interval we also see that the velocity increases from 245 to 250 (m/s) approximately. Therefore the acceleration is positive.
With respect to the magnitude we can say that it is smaller than at the beginning since the change of velocities is smaller with respect to the change of velocities at the beginning.
Explanation:
When an object is moving in a circular path, the motion of the object is called uniform circular motion. The object moves under the action of centripetal acceleration. It is given by :
r is the radius of circular path
v is the speed of the object
In uniform circular motion, the object moves with constant speed. Also, the velocity of the object keeps on changing because it changes direction at every instant of time. Also, the object is accelerating due to change in velocity.
So, the correct options are (b) and (c).
The electric flux is - 4.80 × 10∧5 N m2 C-1
How to calculate the electric flux
Use the formula:
Electric flux, ΦE = EScosθ
Where,
E = electric flux
S = area of the rectangular surface = length × breadth = 6.00 × 3.00 = 18.00 m²
E = magnitude = 2. 70 × 10∧4 N/C
θ = the angle between the electric field lines = 15. 7°
Substitute the values into the equation
EФ = 2. 70 × 10∧4 × 18. 00 × Cos (15.7)
EФ = 2. 70 × 10∧4 × 18. 00 × -0.9999
EФ= - 4.79 × 10∧5 N m2 C-1
Therefore, the electric flux is - 4.80 × 10∧5 N m2 C-1
Learn more about electric flux here:
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