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
Maurinko [17]
3 years ago
10

The water in a river flows uniformly at a constant speed of 2.50 m/s between parallel banks 80.0 m apart. You are to deliver a p

ackage directly across the river, but you can swim only at 1.50 m/s.
(a) If you choose to minimize the time you spend in the water, in what direction should you head?

(b) How far downstream will you be carried?

(c) If you choose to minimize the distance downstream that the river carries you, in what direction should you head?

(d) How far downstream will you be carried?
Physics
1 answer:
NISA [10]3 years ago
7 0

Answer:

a)  The swimmer should travel perpendicular to the bank to minimize the spent in getting to the other side.

b) 133.33 m

c) 53.13°

d) 106.67 m

Explanation:

a) The swimmer should travel perpendicular to the bank to minimize the spent in getting to the other side.

b) velocity = distance * time

Let the velocity of the swimmer be v_{s} = 1.5 m/s

The separation of the two sides of the river, d = 80 m

The time taken by the swimmer to get to the other end of the river bank,

t = \frac{d}{v_{s} }

t = 80/1.5

t = 53.33 s

The swimmer will be carried downstream by the river through a distance, s

Let the velocity of the river be v_{r} = 2.5 m/s

S = v_{r} t

S = 53.33 * 2.5

S = 133.33 m

c) To minimize the distance traveled by the swimmer, his resultant velocity must be perpendicular to the velocity of the swimmer relative to water

That is ,

cos \theta = \frac{v_{s} }{v_{r} } \\cos \theta = 1.5/2.5\\cos \theta = 0.6\\\theta = cos^{-1} 0.6\\\theta = 53.13^{0}

d) Downstream velocity of the swimmer, v_{y} = v_{s} sin \theta\\

v_{y} = 1.5 sin 53.13\\v_{y} = 1.2 m/s

The vertical displacement is given by, y = v_{y} t

80 = 1.2 t

t = 80/1.2

t = 66.67 s

the horizontal speed,

v_{x} = 2.5 - 1.5cos53.13\\v_{x} = 1.6 m/s

The downstream horizontal distance of the swimmer, x = v_{x} t

x = 1.6 * 66.67

x = 106.67 m

You might be interested in
Explain how to convert a galvanometer to an ammeter
Jobisdone [24]

hope it helps:)

Explanation:

A galvanometer is converted into an ammeter by connecting a low resistance in parallel with the galvanometer. This low resistance is called shunt resistance S. The scale is now calibrated in ampere and the range of ammeter depends on the values of the shunt resistance.

4 0
3 years ago
Explain the law of conservation of energy. Give a specific example using kinetic and potential energy that shows how energy is c
Ede4ka [16]

Answer:

As you said you already know, energy cannot be created or destroyed.

Explanation:

You cannot gain energy or lose energy, it can only be converted. So if you start on a 3m high hill and go down it, your potential energy is equal to mgh, and if you get to the bottom of the hill, your KE would be equal to your PE at the top, and when you start going up another hill again, the maximum height you can reach is 3m, because energy cannot be created or destroyed, and your mass and gravitational acceleration are the same, so therefore you can only reach the same height you started from due to the conservation of energy.

7 0
3 years ago
How does density affect refraction
WINSTONCH [101]

Answer:

please give me brainlist and follow

Explanation:

The angle and wavelength at which the light enters a substance and the density of that substance determine how much the light is refracted. ... When light passes from a more dense to a less dense substance, (for example passing from water into air), the light is refracted (or bent) away from the normal.

7 0
2 years ago
The 59 converted into binary is _____.<br> How do we convert number to binary?
Viefleur [7K]

Answer:

111011

Explanation:

59/2 = 29, remainder is 1

29/2 = 14, remainder is 1

14/2 = 7, remainder is 0

7/2 = 3, remainder is 1

3/2 = 1, remainder is 1

1/2 = 0, remainder is 1

8 0
3 years ago
9. How are the fossils in question 8 formed?
Bingel [31]
Well what’s the question?..
7 0
3 years ago
Other questions:
  • Please help. Due today. Will give brainliest, thanks, and rate. Thanks in advance:)
    8·2 answers
  • Technician a says that the water pump is a centripetal pump. technician b says that centripetal force is the outward force that
    13·1 answer
  • What caused people to accept the geocentric model of the universe?
    15·1 answer
  • An athlete rotates a 1.00-kg discus along a circular path of radius 1.09 m. The maximum speed of the discus is 17.0 m/s. Determi
    7·1 answer
  • Which of the following are characteristics of heterogeneous mixtures?
    15·1 answer
  • 1) The "Ring of Fire" is an area along the edge of the Pacific Ocean with many volcanoes. Most of
    15·1 answer
  • A runner jumps off the ground at a speed of 16m/s. At what angle did he jumps from the ground if he landed 8m away?
    10·1 answer
  • What is the slope of the line plotted below?
    13·1 answer
  • Which of the following is NOT an indication that a chemical reaction took place?
    5·1 answer
  • Plz help I will mark as brainlest plz help me
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!