Chapter 1: Q43P (page 11)

A person on a diet might lose $^{2.3 kg per week}$ . Express the mass loss rate in milligrams per second, as if the dieter could sense the second-by-second loss.

Short Answer

Expert verified

The mass-loss rate is $^{3.8 m / s}$ .

Step by step solution

Given data

The given rate of loss of mass is $^{2.3 kg / week}$ .

Understanding the unit conversion

Unit conversion is the conversion between different units of measure for the same quantity, usually through multiplier conversion factors.

Determination of mass-loss rate in required units

Using the conversion of mass (Kg) in milligram and time (week) into seconds, find the mass-loss rate.

It is known that,

$1 kg = 10^{3} gm = 10^{6} mg$

Therefore, the rate of loss in milligrams per week is $^{2.3 \times 10^{6}} mg / week$ .

The number of seconds per week is,

$Number seconds per week = (\frac{7 day}{wek}) (\frac{24 hr}{day}) (\frac{3600 s}{hr}) = 604, 800 s / week$

So, the rate of loss of mass is,

$Mass loss rate = \frac{2.3 \times 10^{6} mg}{604800 s} = 3.8 mg / s$

Thus, the rate of loss of mass is $^{3.8 mg / s}$ .

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A person on a diet might lose $^{2.3 kg per week}$ . Express the mass loss rate in milligrams per second, as if the dieter could sense the second-by-second loss.

Short Answer

Step by step solution

Given data

Understanding the unit conversion

Determination of mass-loss rate in required units

One App. One Place for Learning.

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A person on a diet might lose 2.3kgperweek. Express the mass loss rate in milligrams per second, as if the dieter could sense the second-by-second loss.

Short Answer

Step by step solution

Given data

Understanding the unit conversion

Determination of mass-loss rate in required units

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Physics Textbooks

Quantum Physics

Astrophysics

Dynamics

Magnetism

Force

Physics of Motion

Study anywhere. Anytime. Across all devices.

A person on a diet might lose $^{2.3 kg per week}$ . Express the mass loss rate in milligrams per second, as if the dieter could sense the second-by-second loss.