Answer: 25 kg
Identify the given information.
f = 250 N
a = 10 m/s^2
Choose which formula you should use. In this case, you are finding the mass.
The formula for force is f = ma, so, using this, it is easy to find the mass.
f = ma Divide by a for both sides
m = f/a Formula for mass!
The formula for mass is m = f/a, where f is force and a is acceleration.
Substitute.
m = (250 N)/(10 m/s^2)
m = 25 kg
The height to which the weight-watcher must climb to work off the equivalent 991 (food) Calories is 0.59 Km
<h3>How to determine the energy. </h3>
1 food calorie = 103 calories
Therefore,
991 food calories = 991 × 103
991 food calories = 102073 calories
Multiply by 4.2 to express in joule (J)
991 food calories = 102073 × 4.2
991 food calories = 428706.6 J
<h3>How to determine the height </h3>
- Energy (E) = 428706.6 J
- Mass (m) = 73.9 kg
- Acceleration due to gravity (g) = 9.8 m/s²
E = mgh
Divide both side by mg
h = E / mg
h = 428706.6 / (73.9 × 9.8)
h = 591.95 m
Divide by 1000 to express in km
h = 591.95 / 1000
h = 0.59 Km
Learn more about energy:
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Velocity<span> is the rate of displacement of an object. It is measured in m/s. </span>Acceleration<span> is the rate of change of velocity of an object. </span>
