What is 902 in proper scientific notation?

A horizontal circular platform rotates counterclockwise about its axis at the rate of 0.945 rad/s. You, with a mass of 69.7 kg,

pickupchik [31]

Answer:

317.22

Explanation:

Given

Circular platform rotates ccw 93.1kg, radius 1.93 m, 0.945 rad/s

You 69.7kg, cw 1.01m/s, at r

Poodle 20.2 kg, cw 1.01/2 m/s, at r/2

Mutt 17.7 kg, 3r/4

You

Relative

ω = v/r

= 1.01/1.93

= 0.522

Actual

ω = 0.945 - 0.522

= 0.42

I = mr^2

= 69.7*1.93^2

= 259.6

L = Iω

= 259.6*0.42

= 109.4

Poodle

Relative

ω = (1.01/2)/(1.93/2)

= 0.5233

Actual

ω = 0.945- 0.5233

= 0.4217

I = m(r/2)^2

= 20.2*(1.93/2)^2

= 18.81

L = Iω

= 18.81*0.4217

= 7.93

Mutt

Actual

ω = 0.945

I = m(3r/4)^2

= 17.7(3*1.93/4)^2

= 37.08

L = Iω

= 37.08*0.945

= 35.04

Disk

I = mr^2/2

= 93.1(1.93)^2/2

= 173.39

L = Iω

= 173.39*0.945

= 163.85

Total

L = 109.4+ 7.93+ 36.04+ 163.85

= 317.22 kg m^2/s

4 0

4 years ago

The kicker now kicks the ball with the same speed as in the number of 4,but at 60.0°from the horizontal or 30.0° from the vertic

stealth61 [152]

Answer:

Explanation:

1) The time of flight equation for projectile motion can be used here to find total time in air.

t = 2vsin∅ / g

where v is speed, Ф is launch angle

t = 2×4×sin 60 / 9.8

t = 0.71 seconds

2) Distance where it hit the ground is called as range and has the following standard equation

D = v² sin2Ф/g

D = 4²sin 2×60 / 9.8

D = 1.41m

3) Maximum elevation is maximum time reached

h = v² sin²Ф / 2g

h = 4²sin² 60 / 2*9.8

h = 0.61 m

3 0

3 years ago

A girl delivering newspapers covers her route by traveling 5.00 blocks west, 5.00 blocks north, and then 7.00 blocks east. What

FromTheMoon [43]

Answer:

P = 2i + 5j

Therefore she is 2 blocks east and 5 blocks north.

Resultant P = √(2^2 + 5^2) = √(4+25) = √29 = 5.4 blocks

Angle = taninverse (5/2)

Angle = 68.2°

Explanation:

Given:

Let west be negative and east be positive x axis.

Let north be the positive y axis.

5.00blocks west = -5.00 i

5.00 blocks north = 5.00 j

7.00 blocks east = 7.00i

Addition of the vector form of hee position is;

P = -5i +7i -5j

P = 2i + 5j

Therefore she is 2 blocks east and 5 blocks north.

Resultant P = √(2^2 + 5^2) = √(4+25) = √29 = 5.4 blocks

Angle = taninverse (5/2)

Angle = 68.2°

3 0

3 years ago

A star with the same mass and diameter as the sun rotates about a central axis with a period of about 24.0 days. Suppose that th

Mila [183]

Answer:

a) w = 2.52 10⁷ rad / s, b) K / K₀ = 1.19 10⁴

Explanation:

a) We can solve this exercise using the conservation of angular momentum.

Initial instant. Before collapse

L₀ = I₀ w₀

Final moment. After the collapse

L_f = I w

angular momentum is conserved

L₀ = L_f

I₀ w₀ = I w (1)

The moment of inertia of a sphere is

I = 2/5 m r²

we take from the table the mass and diameter of the star

m = 1,991 10³⁰ kg

r₀ = 6.96 10⁸ m

r = 6.37 10⁶ m

to find the angular velocity let's use

w = L / T

where the length of a circle is

L = 2π r

T = 24 days (24 h / 1 day) (3600 s / 1h) = 2.0710⁶ s

we substitute

w = 2π r / T

wo = 2π 6.96 10⁸ / 2.07 10⁶

wo = 2.1126 10³ rad / s

we substitute in equation 1

w = $\frac{I_o}{I}$

w = 2/5 mr₀² / 2/5 m r² w₀

w = ( $\frac{r_o}{r}$ ) ² wo

w = (6.96 10⁸ / 6.37 10⁶) ² 2.1126 10³

w = 2.52 10⁷ rad / s

b) the kinetic energy ratio

K = ½ m w²

K₀ = ½ m w₀²

K = ½ m w²

K / K₀ = (w / wo) ²

K / K₀ = 2.52 10⁷ / 2.1126 10³

K / K₀ = 1.19 10⁴

7 0

3 years ago

Name two appliance that use electromagnet.

Bess [88]

Answer:

Electromagnets are very widely used in electric and electromechanical devices, including:

Motors and generators.

Transformers.

Relays.

Electric bells and buzzers.

Loudspeakers and headphones.

Actuators such as valves.

Magnetic recording and data storage equipment: tape recorders, VCRs, hard disks.

6 0

3 years ago

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