Answer:
1. 625,000 J
2. 100 J
4. 5 kg
5. √5 ≈ 2.236 m/s
Step-by-step explanation:
You should be aware that the SI derived units of Joules are equivalent to kg·m²/s².
To reduce confusion between <em>m</em> for mass and m for meters, we'll use an <em>italic m</em> for mass.
In each case, the "find" variable is what's left after we put the numbers into the formula. It is what the question is asking for. The "given" values are the ones in the problem statement and are the values we put into the formula. The formula is the same in every case.
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1. KE = (1/2)<em>m</em>v² = (1/2)(2000 kg)(25 m/s)² = 625,000 kg·m²/s² = 625,000 J
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2. KE = (1/2)<em>m</em>v² = (1/2)(0.5 kg)(20 m/s)² = 100 kg·m²/s² = 100 J
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4. KE = (1/2)<em>m</em>v²
250 J = (1/2)<em>m</em>(10 m/s)² = 50 m²/s²
(250 kg·m²/s²)/(50 m²/s²) = <em>m</em> = 5 kg
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5. KE = (1/2)<em>m</em>v²
2000 kg·m²/s² = (1/2)(800 kg)v²
(2000 kg·m²/s²)/(400 kg) = v² = 5 m²/s²
v = √5 m/s ≈ 2.236 m/s
The exact form is: w = -6/7
9514 1404 393
Answer:
- 18 tomatoes: £3.02
- £4.39 ⇒ 26 tomatoes
Step-by-step explanation:
a) at 12 tomatoes per box, 18 tomatoes will require 2 boxes. Then Isla's price will be ...
2(25p) +18(14p) = 50p +252p = £3.02
18 tomatoes in 2 boxes cost £3.02.
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b) The 3 boxes cost 3(25p) = £0.75, so the tomatoes cost ...
£4.39 -0.75 = £3.64
at 14p each, the number of tomatoes is £3.64/£0.14 = 26
There are 26 tomatoes in 3 boxes costing £4.39.
Answer: integer's are whole numbers so a fraction,decimal and negitive numbers aren't integer's
Step-by-step explanation: