what speed do a bicycle and its rider, with a combined mass of 110 kg, have the same momentum as a 1800 kg car traveling at 5.6 m/s ? press your answer to two significant figures and include the appropriate units. ? 101 S Submit Previous Answers Request Answer X Incorrect; Try Again; 4 attempts remaining
what speed do a bicycle and its rider, with a combined mass of 110 kg, have the same momentum as a 1800 kg car traveling at 5.6 m/s ? press your answer to two significant figures and include the appropriate units. ? 101 S Submit Previous Answers Request Answer X Incorrect; Try Again; 4 attempts remaining
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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![**Question:**
At what speed does a bicycle and its rider, with a combined mass of 110 kg, have the same momentum as a 1800 kg car traveling at 5.6 m/s?
**Instruction:**
Express your answer to two significant figures and include the appropriate units.
**Input Box:**
\( v = \)
\[ \frac{m}{s} \]
101
**Buttons:**
- Submit
- Previous Answers
- Request Answer
**Feedback:**
Incorrect; Try Again; 4 attempts remaining
---
### Explanation
To solve this problem, use the formula for momentum:
\[ \text{Momentum} = \text{mass} \times \text{velocity} \]
**Step 1: Calculate the momentum of the car.**
- Mass of the car = 1800 kg
- Velocity of the car = 5.6 m/s
- Momentum of the car = 1800 kg × 5.6 m/s = 10080 kg·m/s
**Step 2: Use the momentum to calculate the speed of the bicycle and rider.**
- Combined mass of bicycle and rider = 110 kg
- Let v be the velocity of the bicycle and rider.
- Therefore, 110 kg × v = 10080 kg·m/s
**Step 3: Solve for v.**
\[ v = \frac{10080 \, \text{kg} \cdot \text{m/s}}{110 \, \text{kg}} = 91.64 \, \text{m/s} \]
**Final Answer:**
- \( v = 92 \, \text{m/s} \) (to two significant figures)
This process allows us to determine the speed needed for the bicycle and rider to match the momentum of the given car.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa8fbab86-0ccb-4a47-9a90-4171489497c4%2Fe2c46ab8-fc47-495e-a754-497117c68d21%2Fmkcs7yi_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Question:**
At what speed does a bicycle and its rider, with a combined mass of 110 kg, have the same momentum as a 1800 kg car traveling at 5.6 m/s?
**Instruction:**
Express your answer to two significant figures and include the appropriate units.
**Input Box:**
\( v = \)
\[ \frac{m}{s} \]
101
**Buttons:**
- Submit
- Previous Answers
- Request Answer
**Feedback:**
Incorrect; Try Again; 4 attempts remaining
---
### Explanation
To solve this problem, use the formula for momentum:
\[ \text{Momentum} = \text{mass} \times \text{velocity} \]
**Step 1: Calculate the momentum of the car.**
- Mass of the car = 1800 kg
- Velocity of the car = 5.6 m/s
- Momentum of the car = 1800 kg × 5.6 m/s = 10080 kg·m/s
**Step 2: Use the momentum to calculate the speed of the bicycle and rider.**
- Combined mass of bicycle and rider = 110 kg
- Let v be the velocity of the bicycle and rider.
- Therefore, 110 kg × v = 10080 kg·m/s
**Step 3: Solve for v.**
\[ v = \frac{10080 \, \text{kg} \cdot \text{m/s}}{110 \, \text{kg}} = 91.64 \, \text{m/s} \]
**Final Answer:**
- \( v = 92 \, \text{m/s} \) (to two significant figures)
This process allows us to determine the speed needed for the bicycle and rider to match the momentum of the given car.
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