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zhuklara [117]
3 years ago
14

If a ball has kinetic energy of 1000 joules and a speed of 5m/s, what is its mass?

Physics
1 answer:
pogonyaev3 years ago
8 0

Answer:

m = 80[kg]

Explanation:

The kinetic energy can be calculated by means of the following equation.

E_{k}=\frac{1}{2}*m*v^{2}

where:

m = mass [kg]

v = velocity = 5 [m/s]

Ek = kinetic energy = 1000 [J]

Now replacing:

1000 = \frac{1}{2} *m*5^{2}\\2000 = 25*m\\m=80[kg]

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You place a cup of 210 degrees F coffee on a table in a room that is 68 degrees F, and 10 minutes later, it is 200 degrees F. Ap
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T(x) = Ta + (To - Ta)e⁻ⁿˣ

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To - the initial temperature
n - constant

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T(x) = 200°F
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T(x) = Ta + (To - Ta)e⁻ⁿˣ
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Step 2. Calculate time x when T(x) = 180°F:
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T(x) = 180°F
x = ?
Ta = 68°F
To = 210°F
n = 0.007

T(x) = Ta + (To - Ta)e⁻ⁿˣ
180 = 68 + (210 - 68)e⁻⁰.⁰⁰⁷*ˣ
180 - 68 = 142 * e⁻⁰.⁰⁰⁷*ˣ
112 = 142 * e⁻⁰.⁰⁰⁷⁾*ˣ
e⁻⁰.⁰⁰⁷*ˣ = 112/142
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Logarithm both sides with natural logarithm:
ln(e⁻⁰.⁰⁰⁷*ˣ) = ln(0.79)
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x ≈ 35
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