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allsm [11]
3 years ago
6

Suppose you are asked to find 91,321,972×0.007004. Doing a quick estimate by rounding the numbers in scientific notation, what v

alue would you expect the answer to be close to? (If you need a review of the estimation technique, watch the video Scientific Notation, Part 4.)
Physics
1 answer:
Finger [1]3 years ago
6 0

Answer: 63\times10^4

we need to estimate the product of two numbers by writing them in scientific notation and rounding them off.

In scientific notation, number 91321972 can be written as 9.1321972\times10^7

If we round this off to 1 significant figure, it would be:

9\times10^7

In scientific notation, number 0.007004 can be written as 7.004\times10^{-3}

If we round this off to 1 significant figure, it would be:

7\times10^{-3}

Product of these two numbers:

9\times10^7 \times 7\times10^{-3}=9\times7\times10^{7-3}=63\times10^{4}

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2. A sports car claims to increase its speed from rest to 25 m/s in 3.6 seconds. How far will the car go in
Kaylis [27]

Explanation:

we first find acceleration by

V=u +at (v is the final velocity,u the initial velocity,a the acceleration and t the time taken)

v=25 m/s

u=0

t=3.6s

substituting we get

25=0 + a (3.6)

25=3.6a (diving both sides by 3.6 we get)

a=6.94 m/s^2

to find distance we use the equation v^2=u^2 + 2ad

25^2 =0^2 + 2 (6.94)do

625=13.88d (dividing both sides by 13.88 we get );

d=45m

3 0
4 years ago
PLSS HELP ASAP
Feliz [49]
40 seconds I’m pretty sure sorry if I’m wrong
6 0
3 years ago
Read 2 more answers
You drive 45 miles to Kingwood from Richmond at 30° North of East. Determine how far north and how far east you traveled.
Mekhanik [1.2K]

Answer:

22.5 miles due North

38.7 miles due East

Explanation:

From the information given above, we infer :

Let there be a <u>vector <em>AB</em></u><em> </em>(indicating distance travelled) with <em><u>magnitude = 45 </u><u>mi</u></em><u> </u> and makes an angle of <em>30° with East axis</em> as well as an angle of <em>60° with North axis</em>.

<u>Displacement covered in North Direction </u><u>:</u>

AB Cos 60° = <em><u>22.5 miles due North </u></em>

<u>Displacement covered in East Direction</u> :

AB Cos 30° = <em><u>38.7 miles due East</u></em>

5 0
3 years ago
You have a 192 −Ω−Ω resistor, a 0.409 −H−H inductor, a 4.95 −μF−μF capacitor, and a variable-frequency ac source with an amplitu
Elodia [21]

Answer:

Explanation:

Given that,

The resistance of the resistor is

R = 192 Ω

The inductance of the inductor is

L = 0.409 H

The capacitance of the capacitor is

C = 4.95 μF

a. At what frequency is current max?

The current will be maximum at resonance, and resonance frequency is given as

f = 1/2π√L•C

f = 1/2π√(0.409×4.95×10^-6)

f = 111.86Hz

b. Currency at frequency 400rad/s.

w = 400rad/s

So, we need to find the inductive reactance

XL = wL

XL = 400 ×0.409

XL = 163.6 ohms

We also need the capacitive reacttance

XC = 1/wC

XC = 1/400×4.95×10^-6

XC = 505.05 ohms

Then, the impedance of the circuit is given as

Z = √(R²+(XL-XC)²)

Z = √(192²+(505.05—163.6)²)

Z = √(192²+341.9²)

Z = 392.12 ohms

Then, the current that flows can be calculated using

V= IZ

I = V/Z

I = 3.02/392.12

I = 7.7 × 10^-3 A

I = 7.7 mA

Since Xc>XL, then, the source voltage lags the current

3 0
4 years ago
A firecracker in a coconut blows the coconut into three pieces. two pieces of equal mass fly off south and west, perpendicular t
kirill [66]

As per momentum conservation theory

If net force on a system is zero then initial momentum of the system will be equal to final momentum of that system.

Since initially coconut is at rest so initial momentum is zero

Here it break into three pieces such that two parts of same mass while third part is of double mass

now we can say

P_1 + P_2 + P_3 = 0

here we know that two parts fly off with same speed v0 along south and west directions

mv_0 (-\hat j) + mv_0 (-\hat i) + 2m \vec v = 0

now we will have

\vec v = \frac{v_0}{2}\hat i + \frac{v_0}{2}\hat j

so here magnitude of the speed of the third part will be

|v| = \sqrt{(\frac{v_0}{2})^2+(\frac{v_0}{2})^2}

|v| = \frac{v_0}{\sqrt2}

and the direction of the third part will be along North East direction

7 0
3 years ago
Read 2 more answers
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