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3 years ago

A toy helicopter has a mass of .25 kg. The rotors of the helicopter exert an upward lift

1 answer:

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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

NISA [10]

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

7 0

3 years ago

A father is trying to teach his child to ice skate. As the child stands still, the father pushes him forward with an acceleratio

rjkz [21]

Hi there!

We can use Newton's Second Law:

$\Sigma F = ma$

∑F = net force (N)

m = mass (kg)

a = acceleration (m/s²)

We are given the mass and acceleration, so:

∑F = 20 · 2 = 40 N

4 0

3 years ago

• What are common questions, concerns, practices, and experiences across various world religions? Include indigenous religions i

faltersainse [42]

Answer:

They are a lot of religions and faiths across the globe. 

Explanation:

There are a lot of monotheistic and polytheistic religions across the world that took origin at different points in the past.

Some of them are:

Christianity- It is a monotheistic religion based on the teachings of Jesus Christ believed to be the son of god.

Confucianism it evolved in China and is based on the teachings scholar and philosopher Confucius. It is a largely secular and humanistic.

Buddhism it is based on the life and teachings of Gautama Buddha. Buddhism advocates a way of life with meditation and instructs its followers to be compassionate, kind and wise.

Hinduism –It evolved during the period of Indus valley civilisation and is a polytheistic religion. Hinduism beliefs mention rebirths or ‘punarjanma’.

Islam- Islam is a monotheistic religion.It considers Muhammad as the messenger of only god Allah.

5 0

4 years ago

Science Write two examples of heating appliances

bearhunter [10]

Answer:

a} Infrared radiant heaters.

b} Fan heaters.

Explanation:

I hope this is okay, should I give more.

4 0

3 years ago

An object attached to one end of a spring makes 20 vibrations in 10 seconds. Its angular frequency is: 0. 79 rad/s 1. 57 rad/s 2

morpeh [17]

Angular frequency in radian per second for 20 vibrations in 10 seconds is 12.6 rad/s

<h3>What is Angular frequency?</h3>

Angular frequency is the number of vibrations in radian per second.

The total number of vibrations n is 20 and the time taken for these vibrations is 10 s

The frequency of the vibrations will be

f = 20 / 10 = 2 Hz

Angular frequency is related to the frequency as

ω = 2πf

ω=2π × 2

ω = 12.6 rad/s

Thus, the angular frequency is 12.6 rad/s.

Learn more about Angular frequency.

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5 0

2 years ago