Taking into account the rule of three for the change of units, the mass of the book is 45600 miligrams.
First of all, the rule of three is a mathematical tool that helps you quickly solve proportionality problems.
Having three known values and one unknown, a proportional relationship is established between all of them in order to find the fourth term of the proportion.
If the relationship between the magnitudes is direct (when one magnitude increases, so does the other; or when one magnitude decreases, so does the other), the rule of three is applied as follows, where a, b and c are known values and x is the unknown to calculate:
a → b
c → x
So:
Being 1 kg equivalent to 1000000 milligrams, In this case the rule of three is applied as follows: if 1 kg equals 1000000 milligrams, 4.56×10⁻² kg equals how many milligrams?
1 kg → 1000000 milligrams
4.56×10⁻² kg → x
So:
<u><em>x=45600 miligrams</em></u>
In summary, the mass of the book is 45600 miligrams.
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infiltration and evaporation
Potential difference= current x resistance
so current = potential difference÷resistance
current =3÷120 (two bulbs 60+60)
current =0.025A
Force = 3200 N
Work done = 640, 000 Nm
Explanation:
We begin by calculating the deceleration of the truck, using the velocity and distance;
a = (v² – u²)/2s
whereby;
a = acceleration
v = initial velocity
u = initial velocity
s = distance
We begin by changing the speed from km/h into m/s;
54km/hr = 15m/s
Then acceleration;
a = (0² – 15²) / 2 * 200
a = -225 / 400
a = - 0.5625 m/ s²
To calculate force;
F = ma
Whereby;
F = force
M = mass (in kgs)
a = acceleration
F = 1800 / 0.5625
F = 3200 N
Work done = Force * displacement
Work done = 3200 * 200
= 640, 000 Nm
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Answer:
51.28 grams of fat will gain
Explanation:
Correction: 10,000 kj about 2500 cal not 2500 kcal.
Asumption: basal metabolic rate will depend of weight, lenght, age and gender but its estipulated a 2000 cal basal metabolic rate as a standar for the calculation for nutritional value of food.
eating a 2500 cal in one day will left
Consuming about 2,500 calories in a day where you only sit relaxed for 16 hours and the rest of the time was used to sleep will mean a basal metabolism of 2000 cal, so 500 calories were left unused, taking into account that 1 calorie is about 4 kj we have to
500 cal * 4kj / cal = 2000 kj
The amount of energy stored as fat will be given by the following equation:
Unused energy / energy contained in one gram of fat = 2000 kj / (39 kj / g) = 51.28 grams of fat gain