A rocket with a mass of 4,000 kg has an engine that exerts a force of 18,720 N. What is the rocket's acceleration (in m/s2) at take-off? Your Answer:

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**Problem Statement:**

A rocket with a mass of 4,000 kg has an engine that exerts a force of 18,720 N. What is the rocket's acceleration (in m/s²) at take-off?

**Your Answer:** 

---

**Explanation:**

To find the acceleration of the rocket, apply Newton's second law of motion, which states that force equals mass times acceleration (F = ma). Rearranging the formula to solve for acceleration (a) gives:

\[ a = \frac{F}{m} \]

Where:
- \( F \) is the force exerted by the engine (18,720 N),
- \( m \) is the mass of the rocket (4,000 kg).

Substitute the given values to calculate the acceleration:

\[ a = \frac{18,720 \, \text{N}}{4,000 \, \text{kg}} \]

\[ a = 4.68 \, \text{m/s}^2 \]

Therefore, the rocket's acceleration at take-off is 4.68 m/s².
Transcribed Image Text:**Problem Statement:** A rocket with a mass of 4,000 kg has an engine that exerts a force of 18,720 N. What is the rocket's acceleration (in m/s²) at take-off? **Your Answer:** --- **Explanation:** To find the acceleration of the rocket, apply Newton's second law of motion, which states that force equals mass times acceleration (F = ma). Rearranging the formula to solve for acceleration (a) gives: \[ a = \frac{F}{m} \] Where: - \( F \) is the force exerted by the engine (18,720 N), - \( m \) is the mass of the rocket (4,000 kg). Substitute the given values to calculate the acceleration: \[ a = \frac{18,720 \, \text{N}}{4,000 \, \text{kg}} \] \[ a = 4.68 \, \text{m/s}^2 \] Therefore, the rocket's acceleration at take-off is 4.68 m/s².
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