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
Airida [17]
3 years ago
9

A boat travels upstream for 12 miles in 3 hours and returns in 2 hours traveling downstream in a river. What is the rate of the

boat in still water and the rate of the current?
Physics
1 answer:
kaheart [24]3 years ago
7 0

Answer:

Rate of boat in still water = 5mile/hour

Rate of the current= 1 mile/hr

Explanation:

The boat is moving upstream at the rate= 12miles/3hours= 4mph

The boat is moving downstream at the rate = 12miles/2hours = 6mph

Let y be the speed of boat

And C the current of water

Y + C = 6 ...eq1

Y - C = 4 ...eq2

Adding eq1 and eq2

2Y = 10

Y= 10/2 = 5

Y= 5mph

Put Y = 5 in eq2

5 + C = 6

C = 6 - 5

C= 1 mph

You might be interested in
One wire carries a current of I1= 2 Amps, and the other carries a parallel current (same direction, wires are side by side) of I
Yuki888 [10]

Answer:F=3\times 10^{-5} N

Explanation:

Given

I_1=2 Amps

I_2=0.75 Amps

Length of each wires\left ( L\right )=5 m

Distance between wires \left ( r\right )=5 cm

Force per unit length =\frac{\mu_0I_1I_2}{2\pi r}

F'=\frac{2\times 10^{-7}\times 2\times 0.75}{2\pi \times 0.05}

F'=6\times 10^{-6}

Force for L=5 m

F=3\times 10^{-5} N

6 0
2 years ago
You measure the power delivered by a battery to be 4.26 W when it is connected in series with two equal resistors. How much powe
gtnhenbr [62]

Answer:

<em>The power delivered by the battery is 17.04 W</em>

Explanation:

Power through a circuit is given as

P = IV    ....1

where P is the power

I is the current through the circuit

V is the voltage through the circuit

The voltage in a circuit is given as

V = IR    ....2

Let us take the value of each resistor as equal to R

when connected in series, the total resistance will be

R_{t} = R + R = 2R

If we assume constant voltage through the circuit, then from equation 2, the current in this case is

I = V/2R

If the resistors are connected in parallel, then the total resistance will be

\frac{1}{R_{t} } = \frac{1}{R} +

R_{t} = R/2

The current in this case will be increased since the resistance is reduced

I = 2V/R

comparing the two situations, we can see that the current increased when connected in parallel to a ratio of

\frac{2V}{R} ÷  \frac{V}{2R} =  

This means that the current increased 4 times

From equation 1, we can see that electrical power is proportional to the current at a constant voltage, therefore, the power will also increase by four times to

P = 4 x 4.26 = <em>17.04 W</em>

3 0
3 years ago
A vessel at rest at the origin of an xy coordinate system explodes into three pieces. Just after the explosion, one piece, of ma
ahrayia [7]

Incomplete question as we have not told to find what.So the complete question is here

A vessel at rest at the origin of an xy coordinate system explodes into three pieces. Just after the explosion, one piece, of mass m, moves with velocity (-60 m/s)i and a second piece, also of mass m, moves with velocity (-60 m/s)j. The third piece has mass 3m.Just after the explosion, what are the (a) magnitude and (b) direction of the velocity of the third piece?

Answer:

V_{3}=(20i+20j)m/s

Explanation:

Given data

The vessel at rest

Piece one,of mass m,moves with velocity=(-60 m/s)i

Piece two,of mass m,moves with velocity=(-60 m/s)j

Piece three,of mass 3m

As the linear momentum is conserved in this system,Because the system is closed and no external  force acting on it

So momentum is given as

p_{initial}=p_{final}

As the vessel at rest so the initial momentum is zero

So

m_{1}V_{1}+m_{2}V_{2}+m_{3}V_{3}=0\\m_{3}V_{3}=-m_{1}V_{1}-m_{2}V_{2}\\V_{3}=\frac{-m_{1}V_{1}-m_{2}V_{2}}{m_{3}} \\V_{3}=\frac{-m_{1}(-60m/s)i-m_{2}(-60m/s)j}{3m}\\V_{3}=(20i+20j)m/s

 

5 0
3 years ago
You are in a spaceship far outside our solar system. Inside your spaceship there is not gravity and no air (and therefore no air
Andreyy89

Newtons first law: The ball will go at constant speed without stopping

Newtons third law: The ball will also push back at you causing you to go back as well

6 0
3 years ago
Read 2 more answers
Describe the stratosphere.
Leviafan [203]

1. The stratosphere is above the troposphere. This layer of the atmosphere is where planes fly. At the top of the stratosphere, there is a ozone layer.

2. The mesosphere is above the stratosphere. Temperatures drastically drop in the mesosphere. It is the middle layer of the atmosphere.

3. Here are the layers of the atmosphere:

  • Troposphere
  • Stratosphere
  • Mesosphere
  • Thermosphere
  • Exosphere

Hope this helps you!

8 0
2 years ago
Other questions:
  • Luke pulls a sled using a force of 65 N for a distance of 25 m across level ground. The rope Luke pulls forms an angle of 25° wi
    12·2 answers
  • Explain why it is easier to climba mountain on a zigzag path rather than one straight up the side. Is your increase in gravitati
    8·1 answer
  • Increasing the concentration of greenhouse gases in Earth's atmosphere decreases the transparency of the atmosphere to infrared
    10·1 answer
  • The Rank of a matrix can not be greater than the number of columns or rows
    6·1 answer
  • Calculate the force between two objects that have
    13·1 answer
  • An electric dipole is in a uniform electric field of magnitude 8.50×104N/C. The charges in the dipole are separated by 1.10×10−1
    13·2 answers
  • Two marbles (m = 0.050 kg each) moving on a table TOWARDS each other with the speed of 0.3 m/s collide, and start moving away fr
    5·1 answer
  • Please can someone give a clear explanantion, <br><br> no extra links thanks
    10·1 answer
  • The table below shows the speed of sound waves from musical sound sources at 20°C. Which conclusion can be made based on the inf
    15·2 answers
  • Select all that apply.
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!