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
When calculating the net electrostatic force, a negative value indicates that the two charged objects involved __________.
DiKsa [7]

Answer:

B

Explanation:

The correct answer is B) have unlike charges. Since they are attracted to each other they have to be unlike

5 0
3 years ago
A ball falls from the top of a building. As it falls, its speed increases. Which type of energy is the ball gaining as it falls?
Elina [12.6K]
<h2>Hello!</h2>

The answer is: B. Kinetic energy

<h2>Why?</h2>

Since the ball is falling, speed increases because the gravity acceleration is acting. When speed increases, the kinetic energy increases too, so the ball is gaining kinetic energy.

The gravity acceleration is equal to 9.81\frac{m}{s^{2}}, it means that when falling, the ball will increase it's speed 9.81m every second.

We can calculate the kinetic energy by using the following formula:

KE=\frac{1}{2}*m*v^{2}

Where:

m=mass\\v=velocity

Have a nice day!

<h2 />
5 0
3 years ago
Jenny was applying her makeup when she drove into the student parking lot last Friday morning . Unaware that Cheryl was stopped
Akimi4 [234]

Answer: F = 102141N

Explanation: <em><u>Newton's 2nd Law</u></em> states that a force can change the motion of a body. The relation is given by

F = m.a

whose units are:

[F] = N

[m] = kg

[a] = m/s²

Jenny's car, at the moment of the break, had acceleration:

a=\frac{\Delta v}{\Delta t}

a=\frac{11}{0.14}

a = 78.57 m/s²

Then, Force is

F = 1300*78.57

F = 102141 N

<u>Jenny's car experienced a force of </u><u>magnitude 102141N.</u>

6 0
3 years ago
4 Points
lbvjy [14]

Answer:

Impulse = 322.5[kg*m/s], the answer is D

Explanation:

This method  it is based on the principle of momentum and the amount of movement; and  used to solve problems involving strength, mass, speed and time.

If units of the SI are used, the magnitude of the impulse of a force is expressed in N * s. however, when remembering the definition of the newton.

N*S=(kg*m/s^{2} )*s = kg*m/s

Now replacing the values on the following equation that express the definition of impulse

Impulse = Force * Time\\\\Impulse = 215 * 1.5 = 322.5 [kg*m/s]

4 0
3 years ago
Read 2 more answers
1. An electric iron has a rating of 750W, 220V. Calculate:
horrorfan [7]
The equation for electrical power is<span>P=VI</span>where V is the voltage and I is the current. This can be rearranged to solve for I in 6(a). 6(b) can be solved with Ohm's Law<span>V=IR</span>or if you'd like, from power, after substituting Ohm's law in for I<span>P=<span><span>V2</span>R</span></span> For 7, realize that because they are in parallel, their voltages are the same. We can find the resistance of each lamp from<span>P=<span><span>V2</span>R</span></span>Then the equivalent resistance as<span><span>1<span>R∗</span></span>=<span>1<span>R1</span></span>+<span>1<span>R2</span></span></span>Then the total power as<span><span>Pt</span>=<span><span>V2</span><span>R∗</span></span></span>However, this will reveal that (with a bit of algebra)<span><span>Pt</span>=<span>P1</span>+<span>P2</span></span> For 8, again the resistance can be found as<span>P=<span><span>V2</span>R</span></span>The energy usage is simply<span><span>E=P⋅t</span></span>
6 0
3 years ago
Other questions:
  • What is the term that we use to describe two species living together?
    7·1 answer
  • Learning to ride a bike, is what kind of learning?
    8·1 answer
  • How many electrons are in an Sn+2 ion?
    13·2 answers
  • The density of air is 1.3 kg/m^3. What mass of air is contained in a room measuring 2.5m x 4m x 10m? Give your answer in kg. Bra
    9·1 answer
  • 5.<br> When your brakes fail, you should<br> The answer is B
    12·1 answer
  • A cat jumps from a balcony. About how fast is the cat moving after 1.5 s?
    9·1 answer
  • What will the velocity be if the momentum is 60000kg.m.s and the mass of the car is 2000kg​
    14·1 answer
  • True or False : Waves lose most of their energy when traveling across the ocean.
    11·2 answers
  • A visitor at a Michigan lighthouse is trying to measure the height of the lighthouse. She has a big spool of string, but she doe
    14·1 answer
  • A motorcycle moving at 18 m/s decelerates at a rate of 3.6 m/s². What is the car's
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!