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
ladessa [460]
3 years ago
11

A motorboat traveling with a current can go 160 km in 4 hours. against the current it takes 5 hours to go the same distance. Fin

d the speed of motorboat and speed of current.
Physics
1 answer:
MatroZZZ [7]3 years ago
3 0
<h2>Speed of motorboat is 36 km/hr and speed of current is 4 km/hr.</h2>

Explanation:

Let speed of motor boat be m and speed of current be c.

A motorboat traveling with a current can go 160 km in 4 hours.

   Distance = 160 km

   Time = 4 hours

    Speed = m + c

   We have

            Distance = Speed x Time

            160 = (m+c) x 4

            m + c = 40     --------------------- eqn 1

Against the current it takes 5 hours to go the same distance.

   Distance = 160 km

   Time = 5 hours

    Speed = m - c

   We have

            Distance = Speed x Time

            160 = (m-c) x 5

            m - c = 32     --------------------- eqn 2

eqn 1 + eqn 2

           2m = 40 + 32

             m = 36 km/hr

Substituting in eqn 1

               36 + c = 40

                      c = 4 km/hr

Speed of motorboat is 36 km/hr and speed of current is 4 km/hr.

You might be interested in
The energy consumed by a home during a month is 90 kWh, how many Joules are we talking about? a good explanation please is for t
andreev551 [17]

Answer:

3.24×10⁸ J, or 324 MJ

Explanation:

"kWh" is a kilowatt-hour.  It's the energy used by 1 kilowatt of power after one hour.

A kilowatt is a kilojoule per second.

90 kWh

= 90 kW × 1 hr

= 90 kJ/s × 1 hr

= 90 kJ/s × 3600 s

= 324,000 kJ

= 324,000,000 J

The energy is 3.24×10⁸ J, or 324 megajoules.

3 0
3 years ago
The microwaves in a certain microwave oven have a wavelength of 12.2 cm. How wide must this oven be so that it will contain five
leva [86]

Answer:

a

 l = 0.305 \  m

b

  f = 3.0*10^{11} \  Hz

Explanation:

From the question we are told that

  The  wavelength is  \lambda  =  12.2 \  cm  = 0.122 \  m

  The  number of antinodal planes of the electric field considered is n  =  5

The  width is mathematically represented as

       l  =  \frac{ n \lambda}{2}

       l = \frac{5 * 0.122 }{ 2}

      l = 0.305 \  m

Generally the  frequency the errors was made is  mathematically represented as

   f =  \frac{c}{\lamda_k}

Here c is the speed of light with value  c =  3.0*10^{8} \  m/s

     \lambda_k is the wavelength of the microwave has to be in order for there still to be five antinodal planes of the electric field along the width of the oven, which is mathematically represented as

     \lambda_k  =  \frac{ \lambda *  \frac{0.04}{2} }{n/2}

      \lambda_k  =  \frac{0.122*0.02}{5/2}

So

   f =  \frac{3.0*10^{8}}{0.000976}

    f = 3.0*10^{11} \  Hz

   

       

8 0
3 years ago
A circular loop carrying a current of 1.6 A is oriented in a magnetic field of 0.30 T. The loop has an area of 0.14 m 2 and is m
konstantin123 [22]

Answer:

The torque on the loop is 2.4 \times 10^{-2} Nm

Explanation:

Given:

Current I = 1.6 A

Magnetic field B = 0.30 T

Area of loop A = 0.14 m^{2}

Angle between magnetic field and area vector \theta = 21°

Form the formula of  torque in case of magnetic field,

 г = MB \sin \theta

Where M = magnetic moment

  M = IA

 г = IAB \sin 21

 г = 1.6 \times 0.30 \times 0.14 \times 0.3583

 г =2.4 \times 10^{-2} Nm

Therefore, the torque on the loop is 2.4 \times 10^{-2} Nm

7 0
3 years ago
How does upwelling affect the weather of a coastal region?
SIZIF [17.4K]

c.The warm surface water results in moist air and more rainfall.

Explanation:

  • During upwelling, cold water in the ocean is stirred up and brought to the surface.
  • The warmer surface water is then taken into deeper parts of the ocean.
  • Upwelling allows for nutrient mixing in the ocean and allows for useful gases to circulate well.
  • The warm surface water causes the air to be moisty.
  • When the air is carried landward towards the coast, it leads to rainfall when the saturated air releases the water.
  • The air then becomes cold and dry and it rises up.
  • Therefore, warm surface water results in moist air and more rainfall.

Learn more:

Ocean current brainly.com/question/4117397

#learnwithBrainly

4 0
3 years ago
Read 2 more answers
g Using the absorbance vs wavelength spectrum where the 1st peak is slightly less intense than the 2nd peak, determine the wavel
Andre45 [30]

Answer:

The wavelength range is always used to know the probable material present

Explanation:

The wavelength variation from with the concentration shows the type of material in as much the Spectrometer is well initialized before running the sample. The peaks interval may have effect on band gap.  

5 0
3 years ago
Other questions:
  • When you set something down on the ground what kind of work is your arm doing
    10·2 answers
  • The gravitational force exerted by the Sun on the Earth is __________ the gravitational force exerted by the Earth on the Sun.
    11·2 answers
  • A solar charging system produces 14.5 volts on a sunny day the currents flows through the circuit at 43.5 ramps what is the resi
    7·1 answer
  • The distance versus time graph for Object A and Object B are shown. (3 points)
    14·2 answers
  • Which of the following solutions should be chosen to help restore an ecosystem naturally? A. reintroducing an animal to the ecos
    6·1 answer
  • A 0.0400-g positive charged ball with charge q = 6.40 μC is resting on a flat, frictionless horizontal surface. For a time of t
    15·1 answer
  • The current through each resistor in the two-resistor circuit is _________ the current through the resistor in the one-resistor
    15·1 answer
  • Two 0.20-kg balls, moving at 4 m/s east, strike a wall. Ball A bounces backwards at the same speed. Ball B stops. Which statemen
    13·1 answer
  • Which is NOT something that all green plants have in common?
    6·2 answers
  • How does the long shape of submarines and torpedoes reduce the dragthey feel when moving under water?
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!