Answer: Why is 52,427 written as 5.2427 x 104 in scientific notation
PLEASE BRAINLIEST
Question:
A 63.0 kg sprinter starts a race with an acceleration of 4.20m/s square. What is the net external force on him? If the sprinter from the previous problem accelerates at that rate for 20m, and then maintains that velocity for the remainder for the 100-m dash, what will be his time for the race?
Answer:
Time for the race will be t = 9.26 s
Explanation:
Given data:
As the sprinter starts the race so initial velocity = v₁ = 0
Distance = s₁ = 20 m
Acceleration = a = 4.20 ms⁻²
Distance = s₂ = 100 m
We first need to find the final velocity (v₂) of sprinter at the end of the first 20 meters.
Using 3rd equation of motion
(v₂)² - (v₁)² = 2as₁ = 2(4.2)(20)
v₂ = 12.96 ms⁻¹
Time for 20 m distance = t₁ = (v₂ - v ₁)/a
t₁ = 12.96/4.2 = 3.09 s
He ran the rest of the race at this velocity (12.96 m/s). Since has had already covered 20 meters, he has to cover 80 meters more to complete the 100 meter dash. So the time required to cover the 80 meters will be
Time for 100 m distance = t₂ = s₂/v₂
t₂ = 80/12.96 = 6.17 s
Total time = T = t₁ + t₂ = 3.09 + 6.17 = 9.26 s
T = 9.26 s
<span>You need to find the path difference. That is, how much further must sound waves from the more distant speaker travel than the close speaker, to reach the mike.
Use Pythagoras to find the distance of the further speaker: it is √(2.00²+4.50²)=4.924m so the path difference is 4.924-4.50=0.424m.
You will get constructive interference when this path difference is an integer number of wavelengths, because the waves will arrive at the mike in phase.
The speed of sound is 340m/s so the lowest frequency that will produce an antinode at the mike is the one that makes 0.424=λ
v=fλ so f=v/λ
f=340/0.424=801Hz.
The next one will be when 0.424m = 2λ => λ=0.212m
f=340/0.212=1602Hz
and so-on according to f=340n/0.424 where n is an integer.
For destructive interference the path difference must be (n-½)λ because that will make the waves arrive at the mike 180° out of phase.
f=340(n-½)/0.424</span>
Answer:
a) 0.069 acres
b) 0.114acres
c) 17.78acres
Explanation:
1 dot=1/36sqin
a) 1 sqin= 330×330=108900ft^2
1 dot=108900/36 =3025ft^2
Converting to acre,divide by43560
3025/43560 =0.069acre
b) 1 chain =22 yards
25×22=550yards
Converting to acre divide by 4840
550/4840 =0.114acre
c)1 sqmile =640acres
(1/36) ÷ 640
640/36
17.78acres