Answer:
a) W₁ = 78400 [J]
b)Wt = 82320 [J]
Step-by-step explanation:
a) W = ∫ f*dl general expression for work
If we have a chain with density of 10 Kg/m, distributed weight would be
9.8 m/s² * 10 kg = mg
Total length of th chain is 40 m, and the function of y at any time is
f(y) = (40 - y ) mg where ( 40 - y ) is te length of chain to be winded
At the beggining we have to wind 40 meters y = 0 at the end of the proccess y = 40 and there is nothing to wind then:
f(y) = mg* (40 - y )
W₁ = ∫f(y) * dy ⇒ W₁ = ∫₀⁴⁰ mg* (40 - y ) dy ⇒ W₁ = mg [ ∫₀⁴⁰ 40dy - ∫₀⁴⁰ ydy
W₁ = mg [ 40*y |₀⁴⁰ - 1/2 * y² |₀⁴⁰ ⇒ W₁ = mg* [ 40*40 - 1/2 (40)² ]
W₁ = mg * [1/2] W₁ = 10*9,8* ( 800 )
W₁ = 78400 [J]
b) Now we can calculate work to do if we have a 25 block and the chain is weightless
W₂ = ∫ mg* dy ⇒ W₂ = ∫₀⁴⁰ mg*dy ⇒ W₂ = mg y |₀⁴⁰
W₂ = mg* 40 = 10*9.8* 40
W₂ = 3920 [J]
Total work
Wt = W₁ + W₂ ⇒ Wt = 78400 + 3920
Wt = 82320 [J]
Answer:
A. AAS
Step-by-step explanation:
Answer:
see explanation
Step-by-step explanation:
solving the inequality
≥ 8 ( multiply both sides by 5 to clear the fraction )
x ≥ 40
Then from the values given
39 → No
40 → Yes
41 → Yes
Yoshi wrote the standard form for three hundred sixty and nine hundred seven thousandths. This is the number 360.907. This number consists of 3 hunreds, 6 tens, 0 ones and 9 tenths, 0 hundredths, 7 thousandths.
Kim wrote a number with 3 more ones and 7 less tenths.
- Yoshi wrote 0 ones, then Kim wrote 0 + 3 = 3 ones;
- Yoshi wrote 9 tenths, then Kim wrote 9 - 7 = 2 tenths.
Actually Kim wrote 363.207 (see added place value table).
Answer: 363.207
Answer: demand
Money
benefits
opportunity
Step-by-step explanation:
