Posted in Physics

Answer : (1) wheelbarrow  (2) seesaw

Explanation :

(1) In second- class lever, the fulcrum is at one of the end or we can say the load is in between the effort and the fulcrum. The example of second- class lever is wheelbarrow.

(2) In first- class lever, the fulcrum is in between the applied force or the effort and the load. The example of first class lever is seesaw.


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Posted in Physics

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. Approximately how long will it be before the coffee is 180 degrees F? Use Newton’s law of cooling:

The answer is 35 minutes

The Newton’s law of cooling is:
T(x) = Ta + (To – Ta)e⁻ⁿˣ

T(x) – the temperature of the coffee at time x
Ta – the ambient temperature
To – the initial temperature
n – constant

step 1. Calculate constant k:

We have:
T(x) = 200°F
x = 10 min
Ta = 68°F
To = 210°F
n = ?

T(x) = Ta + (To – Ta)e⁻ⁿˣ
200 = 68 + (210 – 68)e⁻ⁿ*¹⁰
200 = 68 + 142 * e⁻¹⁰ⁿ
200 – 68 = 142 * e⁻¹⁰ⁿ
132 = 142 * e⁻¹⁰ⁿ
e⁻¹⁰ⁿ = 132/142
e⁻¹⁰ⁿ = 0.93

Logarithm both sides with natural logarithm:
ln(e⁻¹⁰ⁿ) = ln(0.93)
-10n * ln(e) = -0.07
-10n * 1 = – 0.07
-10n = -0.07
n = -0.07 / – 10
n = 0.007

Step 2. Calculate time x when T(x) = 180°F:
We have:
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
e⁻⁰.⁰⁰⁷*ˣ = 0.79

Logarithm both sides with natural logarithm:
ln(e⁻⁰.⁰⁰⁷*ˣ) = ln(0.79)
-0.007x * ln(e) = -0.24
-0.007x * 1 = -0.24
-0.007x = -0.24
x = -0.24 / -0.007
x ≈ 35

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Posted in Physics

Marcel is helping his two children, jacques and gilles, to balance on a seesaw so that they will be able to make it tilt back and forth without the heavier child, jacques, simply sinking to the ground. given that jacques, whose weight is w, is sitting at distance l to the left of the pivot, at what distance l1 should marcel place gilles, whose weight is w, to the right of the pivot to balance the seesaw?

In order for the childreen to be balance in the see saw,
each torque they produce should be equal in order for them to balance. Torque is
equal to mass times distance

Since jacques weight is W and at L

And gilles weight is w and at L1

wL1 = WL

L1 = WL/w is the position of gilles for them to balance

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