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
Hunter-Best [27]
3 years ago
11

A spherical balloon is being inflated and the radius of theballoon is increasing at a rate of 2 cm/s.(A) Express the radius (r)

of the balloon as a function of thetime (t).(B) If V is the volume of the balloon as a function of theradius, find Vor and interpret it.
Physics
1 answer:
goblinko [34]3 years ago
6 0

Answer:

A.) r = 2t

B.) V = 33.5t^3

Explanation:

Given that a spherical balloon is being inflated and the radius of the balloon is increasing at a rate of 2 cm/s

A) Express the radius (r) of the balloon as a function of the time (t).

Since the rate = 2 cm/s that is,

Rate = radius/ time

Therefore,

2 = r/t

Make r the subject of formula

r = 2t

(B) If V is the volume of the balloon as a function of the radius, find V or and interpret it.

Let assume that the balloon is spherical. Volume of a sphere is;

V = 4/3πr^3

Substitute r = 2t into the formula

V = 4/3π(2t)^3

V = 4/3π × 8t^3

V = 32/3 × πt^3

V = 33.5t^3

You might be interested in
A 75Kg man jumps from a window 1.0m above the sidewalk. If the man falls with his knees and ankles locked, the only cushion for
liq [111]

Answer:

150153.06122 N

Explanation:

m = Mass of person = 75 kg

h = Height of fall = 1 m

g = Acceleration due to gravity = 9.81 m/s²

F = Force

s = Displacement = 0.49 cm

Potential energy is given by

P=mgh\\\Rightarrow P=75\times 9.81\times 1\\\Rightarrow P=735.75\ J

Work is given by

W=Fs\\\Rightarrow F=\frac{W}{s}\\\Rightarrow F=\frac{735.75}{0.0049}\\\Rightarrow F=150153.06122\ N

The average force exerted is 150153.06122 N

8 0
3 years ago
You paddle a conoe with a force of 325 N. You and the canoe have a combined mass of 250 kg. What is the acceleration of the cano
Brums [2.3K]

f = ma

Rearranging it, we get;

a =  \frac{f}{m}
Where a is the acceleration, f is the force, and m is the mass

a =  \frac{325}{250}
a = 1.3 \frac{m}{ {s}^{2} }

7 0
3 years ago
A 100-turn, 3.0-cm-diameter coil is at rest in a horizontal plane. A uniform magnetic field 60%u2218 away from vertical increase
Xelga [282]

Answer:

Induced emf in the coil, E = 0.157 volts

Explanation:

It is given that,

Number of turns, N = 100

Diameter of the coil, d = 3 cm = 0.03 m

Radius of the coil, r = 0.015 m

A uniform magnetic field increases from 0.5 T to 2.5 T in 0.9 s.

Due to this change in magnetic field, an emf is induced in the coil which is given by :

E=-NA\dfrac{\Delta B}{\Delta t}

E=-100\times \pi (0.015)^2\times \dfrac{2.5-0.5}{0.9}

E = -0.157 volts

Minus sign shows the direction of induced emf in the coil. Hence, the induced emf in the coil is 0.157 volts.

8 0
3 years ago
When designing a roller coaster what are the biggest considerations?
kati45 [8]
If you are designing a roller coaster that goes upside down, you may consider of course seat belts or something that goes around you to keep yourself safe.
3 0
3 years ago
a star has a distance of 30 parsecs and a apparent magnitude of 3 --what would its absolute magnitude be?
Alborosie

The absolute magnitude of the star would be +5.

8 0
1 year ago
Other questions:
  • Which of the following statements is true? The square root of the molecular weight of a gas is equal to its rate of diffusion. T
    15·2 answers
  • If the distance between two positive point charges is tripled, then the strength of the electrostatic repulsion between them wil
    14·1 answer
  • The frequency of light emitted from a source is changed. What visible evidence would indicate this?
    6·2 answers
  • When you push a child on a swing, you are doing work on the child because _____.
    15·2 answers
  • Which direction does air circulate into low pressure zones in the northern and southern hemispheres
    15·2 answers
  • A car accelerates from rest at a rate of 4 m/s’2 . How many seconds will it take the car to reach a final speed of 16m/s
    7·1 answer
  • Use Kirchoff first law and second law to derise the expression for the total resistancs​
    11·1 answer
  • An observer stands 150 meters from a fireworks display rocket, which is fired directly upward. When the rocket reaches a height
    14·1 answer
  • Which statement describes a surface wave?
    8·1 answer
  • How do light waves differ from sound waves?
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!