1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
True [87]
2 years ago
9

A balloon filled with helium gas has an average density of Q,-0.41 kg/m'. The density of the air is Qa-1.23 kg/m3. The volume of

the balloon is Vb 0.048 m3. The balloon floats upward with acceleration a.
(a) Express the acceleration of the balloon a in terms of the variables given in the problem statement, assuming upwards is the positive direction
Part (b) Calculate the numerical value of a in m/s

Physics
1 answer:
Citrus2011 [14]2 years ago
6 0

Answer:

a) (Qa*g*Vb)-(Qh*Vb*g)=(Qh*Vb*a)\\where \\g=gravity [m/s^2]\\a=acceleration [m/s^2]

b) a = 19.61[m/s^2]

Explanation:

The total mass of the balloon is:

massball=densityheli*volumeheli\\\\massball=0.41 [kg/m^3]*0.048[m^3]\\massball=0.01968[kg]\\\\

The buoyancy force acting on the balloon is:

Fb=densityair*gravity*volumeball\\Fb=1.23[kg/m^3]*9.81[m/s^2]*0.048[m^3]\\Fb=0.579[N]

Now we need to make a free body diagram where we can see the forces that are acting over the balloon and determinate the acceleration.

In the attached image we can see the free body diagram and the equation deducted by Newton's second law

You might be interested in
A rock rolls down a hill. Which form of energy is this an example of? (2 points)
Bond [772]

Answer:

c.Mechanical

Explanation:

6 0
3 years ago
Examples of applied force
Vladimir [108]

Answer:

Push - The most common form of force is a push through physical contact (like a lawnmower or shopping cart)

Pull - You can apply a force by directly pulling on an object (like pulling a wagon)

Explanation:

4 0
3 years ago
Read 2 more answers
What is the formula for force?
Vitek1552 [10]
Choice 'b' is one possible way to state
Newton's second law of motion.

The other choices are meaningless.
8 0
3 years ago
The energy of a photon was found to be 3.38 x 10-19 J. Planck's constant is 6.63 x 10-34 J. S. Which color of light corresponds
GalinKa [24]

Answer:

The correct option is (c).

Explanation:

Given that,

The energy of a photon is, E=3.38\times 10^{-19}\ J

We need to tell the color of this light. We know that, the energy of a photon is given by :

E=\dfrac{hc}{\lambda}

Where

c is the speed of light

\lambda=\dfrac{hc}{E}\\\\\lambda=\dfrac{6.63\times 10^{-34}\times 3\times 10^8}{3.38 \times 10^{-19}}\\\\\lambda=5.88\times 10^{-7}\ m\\\\\lambda=588\ nm

The wavelength of yellow light is approx 580 nm. Hence, we can say that this photon corresponds to yellow light.

6 1
3 years ago
A particle with mass 1.81*10^-3kg and a charge of 1.22*10^-8C has, at a given instant, a velocity v= (3.0*10^4 m/s)j.
charle [14.2K]

Answer:

a = -0.33 m/s² k^

Direction: negative

Explanation:

From Newton's law of motion, we know that;

F = ma

Now, from magnetic fields, we know that;. F = qVB

Thus;

ma = qVB

Where;

m is mass

a is acceleration

q is charge

V is velocity

B is magnetic field

We are given;

m = 1.81 × 10^(−3) kg

q = 1.22 × 10 ^(−8) C

V = (3.00 × 10⁴ m/s) ȷ^.

B = (1.63T) ı^ + (0.980T) ȷ^

Thus, since we are looking for acceleration, from, ma = qVB; let's make a the subject;

a = qVB/m

a = [(1.22 × 10 ^(−8)) × (3.00 × 10⁴)ȷ^ × ((1.63T) ı^ + (0.980T) ȷ^)]/(1.81 × 10^(−3))

From vector multiplication, ȷ^ × ȷ^ = 0 and ȷ^ × i^ = -k^

Thus;

a = -0.33 m/s² k^

7 0
2 years ago
Other questions:
  • If a lens has a power of -14.50, what is the focal length in mm?
    8·1 answer
  • In which activity is no work done?
    15·2 answers
  • X rays have wavelengths on the order of 1 3 10210 m. calcu‑ late the energy of 1.0 3 10210 m x rays in units of kilojoules per m
    8·1 answer
  • A simple pendulum takes 2.00 s to make one compete swing. If we now triple the length, how long will it take for one complete sw
    11·1 answer
  • If the initial speed of the ball was increased, the time of flight of the ball would
    11·1 answer
  • In the image below, astronauts detect approaching space junk and become
    14·1 answer
  • 1. Siham is practicing for the marathon, she can run 1200 meters in 5 min, what is her speed in m/sec. Show all your work includ
    5·1 answer
  • Which equation contains only scalar quantities
    12·1 answer
  • 3. How do you record your score in the 3-Minute Step Test? A record the 60-second heart rate before activity B. record the 30-se
    8·1 answer
  • If I am lifting a box with a force of 100 N and the box has an acceleration of 10 N, what is the mass of the box?
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!