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

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Chapter1: Units, Trigonometry. And Vectors
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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.
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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