16E. A weight-conscious penguin with a mass of 15.0 kg rests on a bathroom scale (Fig. 5-41). What are (a) the penguin's weight W and (b) the normal force N on the penguin? (c) What is the reading on the scale, assuming it is calibrated in weight units? Scale
16E. A weight-conscious penguin with a mass of 15.0 kg rests on a bathroom scale (Fig. 5-41). What are (a) the penguin's weight W and (b) the normal force N on the penguin? (c) What is the reading on the scale, assuming it is calibrated in weight units? Scale
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![### Physics Problem: Penguin on a Scale
**Problem 16E:** A weight-conscious penguin with a mass of 15.0 kg rests on a bathroom scale (Fig. 5-41).
**Questions:**
1. What is (a) the penguin's weight \(W\) and (b) the normal force \(N\) on the penguin?
2. What is the reading on the scale, assuming it is calibrated in weight units?
### Diagram Explanation:
The illustration shows a penguin standing on a rectangular bathroom scale. The scale is designed to measure weight, which is the force exerted by the mass due to gravity.
### Conceptual Understanding:
- **Weight \(W\):** The weight of an object is calculated by multiplying its mass by the gravitational acceleration (usually \(9.8 \, \text{m/s}^2\) on Earth). Thus:
\[
W = \text{mass} \times g = 15.0 \, \text{kg} \times 9.8 \, \text{m/s}^2 = 147 \, \text{N}
\]
- **Normal Force \(N\):** The normal force is the perpendicular contact force exerted by a surface on another object. When the penguin is at rest on the scale, the normal force \(N\) is equal in magnitude to the weight \(W\), assuming no additional vertical forces are at play:
\[
N = W = 147 \, \text{N}
\]
- **Scale Reading:** Since the scale measures the normal force exerted by the penguin, the reading on the scale will also be \(147 \, \text{N}\).
This problem helps to illustrate the concepts of weight, normal force, and their relationship in a simple static scenario.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3fae01cf-d0f0-4d2f-bcd7-8b58d28c69af%2F0f1ec8e7-e17a-4d42-97b7-9d6b6a4b0307%2Flkd7sz8_processed.png&w=3840&q=75)
Transcribed Image Text:### Physics Problem: Penguin on a Scale
**Problem 16E:** A weight-conscious penguin with a mass of 15.0 kg rests on a bathroom scale (Fig. 5-41).
**Questions:**
1. What is (a) the penguin's weight \(W\) and (b) the normal force \(N\) on the penguin?
2. What is the reading on the scale, assuming it is calibrated in weight units?
### Diagram Explanation:
The illustration shows a penguin standing on a rectangular bathroom scale. The scale is designed to measure weight, which is the force exerted by the mass due to gravity.
### Conceptual Understanding:
- **Weight \(W\):** The weight of an object is calculated by multiplying its mass by the gravitational acceleration (usually \(9.8 \, \text{m/s}^2\) on Earth). Thus:
\[
W = \text{mass} \times g = 15.0 \, \text{kg} \times 9.8 \, \text{m/s}^2 = 147 \, \text{N}
\]
- **Normal Force \(N\):** The normal force is the perpendicular contact force exerted by a surface on another object. When the penguin is at rest on the scale, the normal force \(N\) is equal in magnitude to the weight \(W\), assuming no additional vertical forces are at play:
\[
N = W = 147 \, \text{N}
\]
- **Scale Reading:** Since the scale measures the normal force exerted by the penguin, the reading on the scale will also be \(147 \, \text{N}\).
This problem helps to illustrate the concepts of weight, normal force, and their relationship in a simple static scenario.
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