a balloon is ascending at 3.0 m/s at a height of 20.0 m above ground when a package is released. the time taken, in the absence of air resistance, for the package to reach the ground is:

Answers

Answer 1
Answer:

Answer:

Approximately 2.35\; {\rm s}, assuming that g = 9.81\; {\rm m\cdot s^(-2)}.

Explanation:

Under the assumptions, the package would start with an initial upward velocity of u = 3.0\; {\rm m\cdot s^(-1)} and accelerate downward at a constant a = (-g) = (-9.81)\; {\rm m\cdot s^(-2)} (negative because acceleration points downward.)

Right before landing, the package would be 20.0\; {\rm m} below where it was released. Hence, the displacement of the package at that moment would be x = (-20.0)\; {\rm m} (negative since this position is below the initial position.)

The duration of the motion can be found in the following steps:

  • Apply the SUVAT equation v^(2) - u^(2) = 2\, a\, x to find velocity v right before landing.
  • Divide the change in velocity (v - u) by acceleration to find the duration of the motion.

Rearrange the SUVAT equation v^(2) - u^(2) = 2\, a\, x to find v, the velocity of the package right before reaching the ground. Notice that because the package would be travelling downward, the value of v\! should be negative.

\begin{aligned} v &= -\sqrt{u^(2) + 2\, a\, x} \n &= -\sqrt{(3.0)^(2) + 2\, (-9.81)\, (-20.0)}\; {\rm m} \n &\approx (-20.035)\; {\rm m}\end{aligned}.

Subtract the initial velocity from the new value to find the change in velocity. Divide this change in velocity by acceleration (rate of change in velocity) to find the duration of the motion:

\begin{aligned}t &= (v - u)/(a) \n &\approx ((-20.035) - (3.0))/((-9.81))\; {\rm s} \n &\approx 2.35\; {\rm s}\end{aligned}.


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Another word for an amp-volt is a(n)

a.ohm
b.watt
c.joule
d.coulomb

Answers

Power = (voltage) x (current)

1 watt  =  (1 volt) x (1ampere)

           =  1 "volt-amp" or 1 "amp-volt" .

what would be the final temperature of a mixture of 50g water at 20c temperature and 50g of water at 40c temperature?

Answers

Because there is the same amount of water in each sample, the samples have an equal amount of influence over the overall temperature. that means it will be somewhere right in the middle of the two original temperatures. The middle, also the average, of the two samples' temperatures is 30c, meaning that if you combined the 20c water and the 40c water the final result would be 100g of 30c water. If you need some more explanation, just ask.

An atom of carbon (C) forms covalent bonds with two atoms of oxygen (O) to form carbon dioxide. How are the valence electrons of these atoms rearranged to form the bonds?A. Electrons are transferred from the carbon atom to the oxygen atoms.
B. Electrons are transferred from the oxygen atoms to the carbon atoms.
C. Many valence electrons are shared between the atoms.
D. A few valence electrons are shared between the atoms

Answers

Answer : The correct option is C.

Explanation :

Covalent bond : Covalent bond forms when two non-metal atom share a pair of electrons.

In the covalent bond formation of carbon dioxide, carbon and oxygen atom share four pair of electrons. The carbon atom joined by four covalent bonds to two oxygen atoms.

The valence electrons in carbon atom = 4

The valence electrons in two oxygen atom = 2(6) = 12

Therefore, these atoms are rearranged to form the bonds by the sharing of many valence electrons between the atoms.

The lewis-dot structure of carbon dioxide is shown below.

Answer:

Person above me got it correct

Explanation:

The answer is C Many valence electrons are shared between the atoms

Just confirming :)

Which of the following sources of pollution would be the most difficult to track and regulate?

Answers

lawn fertilizer runoff

Lawn fertilizer runoff can be the most difficult to track and regulate since it may have spread in the soil and was washed away together with the water particles. 


Pollution is an ecological disturbance and turmoil that ruins and endangers life either in land or sea, even air. 
Three types of pollution exist:
Water pollution
Air pollution
Land pollution 

the net electric flux through a cube of side 1 m kept in uniform electric field E= 10⁴ N/C î is a. 10⁵ N m² c⁻¹ b. 10⁴ N m² c⁻¹ c. 5 x 10⁴ N m² c⁻¹ d. zero

Answers

Answer:

To calculate the net electric flux through a cube placed in a uniform electric field, you can use Gauss's Law, which states that the electric flux (Φ) through a closed surface is equal to the electric field (E) times the surface area (A) and is also equal to the enclosed charge (Q) divided by the permittivity of free space (ε₀):

Φ = E * A = Q / ε₀

In this case, the cube has a side length of 1 meter, so its surface area (A) is 6 square meters (since there are 6 faces of a cube). The electric field (E) is given as 10⁴ N/C î, and there is no mention of any enclosed charge (Q) within the cube.

Now, calculate the electric flux:

Φ = E * A = (10⁴ N/C) * (6 m²) = 60,000 N m²/C

The unit of electric flux is N m²/C.

So, the net electric flux through the cube is 60,000 N m²/C, which is not one of the provided answer choices. However, if you convert this to the preferred unit of electric flux, which is N m² c⁻¹, you get:

60,000 N m²/C = 60,000 N m² c⁻¹

So, the answer closest to this value is (c) 5 x 10⁴ N m² c⁻¹.

Explanation:

Have great day!

A particle moves in a straight line with constant speed of 4 m/s for 2 s, then with 6 m/s for 3 s. The average speed of the particle in the given time interval be v. Find [v].(where, [ ] is step integer function)

Answers

Answer:

Explanation

Total time, T=2+3=5 s

Total distance, D=4×2+6×3=26 m

Thus, average speed=D/T=26/5=5.2

Thus, [x]=5