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Setler [38]
3 years ago
8

A merry-go-round at a playground is a circular platform that is mounted parallel to the ground and can rotate about an axis that

is perpendicular to the platform at its center. the angular speed of the merry-go-round is constant, and a child at a distance of 1.4 m from the axis has a tangential speed of 2.2 m/s. what is the tangential speed of another child, who is located at a distance of 2.1 m from the axis?
Physics
1 answer:
julsineya [31]3 years ago
3 0

Since angular speed is persistent, v/r is constant.
Where:

 v is tangential speed; and

 r is distance from axis.

 

Then equate v/r in both cases to get v in the second case.

Hence, speed = 2.2 x 2.1 / 1.4 meters

= 3.3 meters / seconds

 

Alternative solution would be:

w = 2.2 / 1.4 = 1.57

v = rw = 2.1 x 1.57 = 3.3 meters / seconds 

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An underwater diver sees the sun at an apparent angle of 45.00 from the vertical. How far is the sun above the horizon? [n in wa
pantera1 [17]

Answer:

19.872 degrees

Explanation:

Mathematically;

Using Snell’s law

n1 sin A = n2 sinB

Where ;

n1 = refractive index in air = 1

n2 is refractive index in water = 1.33

A = ?

B = 45

Substituting the values in the equation;

1 sin A = 1.33 sin45

Sin A = 1.33 sin 45

A = arc sin (1.33 sin 45)

A = 70.12

Thus, the actual direction of the Sun with respect to the horizon = 90-A = 19.872 degrees

6 0
4 years ago
Give two differences between mass and weight​
timurjin [86]

Answer: 1) Mass is a scalar quantity while weight is a vector quantity

2) Mass is measured in Gramma and kilogram while weight is measured in Newton.

Explanation:

Mass can be defined as the amount of matter that comprises an object. It is a scalar quantity, that is, it has magnitude. It is measured in kilogram with its unit in Kg. Mass is measured using an ordinary weighing scale.

Weight can be defined as the force acted upon an object due to gravity. Weight is a vector quantity, that is, it has both magnitude and direction towards the center of the earth. Weight can be measured with the use of a spring balance. Its unit is in Newton.

3 0
4 years ago
A gazelle leaps from a cliff 2.5 m high with a speed of 5.6m/s.
trapecia [35]

Initial speed of Gazelle is along x direction and its value will be

v_x = 5.6 m/s

also its initial height is given as

y = 2.5 m

Part a)

now from kinematics along Y direction

\Delta y = v_y t + \frac{1}{2} at^2

as we know that

\Delta y = 0

v_y = 0

a = 9.8 m/s^2

2.5 = 0 + \frac{1}{2} (9.8) t^2

t = 0.714 s

Part b)

distance moved horizontally

\Delta x = v_x t

as we know that

v_x = 5.6 m/s

now we will have

v_x = 5.6 (0.714) = 4m

so it will lend at distance of 4 m.

Part c)

final velocity in vertical direction

v_{fy} = v_y + at

v_{fy} = 0 + (9.8)(0.714) = 7 m/s

v_x = 5.6 m/s

so net speed will be

v^2 = v_x^2 + v_y^2

v^2 = 7^2 + 5.6^2

v = 8.96 m/s

7 0
4 years ago
Measure the width of a sheet of a standard-sized (8.5in x 11.0in) loose-leaf notebook paper. Make the measurement in centimeters
laiz [17]

Answer: width = 27.94 cm

Explanation:

Given  a sheet of a standard-sized (8.5in x 11.0in) loose-leaf notebook paper.

From the value given, the width is 11.0 inches

To make the measurement in centimeters, we will convert inches into centimeters.

1 inche = 2.54 centimeters

That is, 11 × 2.54 centimeters = 27.94 cm.

Therefore, the width is 27.94 cm.

3 0
4 years ago
How do you measure velocity?
olchik [2.2K]
Speed and velocity are both measured using the same units. The SI unit of distance and displacement is the meter. The SI unit of time is the second. The SI unit of speed and velocity is the ratio of two — the meter per second.
8 0
4 years ago
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