A spaceship at rest relative to a nearby star in interplanetary space has a total mass of 3.80 x 104 kg. Its engines fire at t = 0, steadily burning fuel at 79.2 kg/s with an exhaust speed of 4.00 x 103 m/s. Calculate the spaceship's acceleration at t = 0, mass at t = 105 s, acceleration at t = 105 s, and speed at t = 105 s, relative to the same nearby star. HINT (a) acceleration at t = 0 (Enter the magnitude. Enter your answer in m/s?.) m/s2 (b) mass at t = 105 s (Enter your answer in kg.) kg (c) acceleration at t = 105 s (Enter the magnitude. Enter your answer in m/s?.) m/s2 (d) speed at t = 105 s (Enter your answer in m/s.) m/s

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A spaceship at rest relative to a nearby star in interplanetary space has a total mass of \(3.80 \times 10^4 \, \text{kg}\). Its engines fire at \(t = 0\), steadily burning fuel at \(79.2 \, \text{kg/s}\) with an exhaust speed of \(4.00 \times 10^3 \, \text{m/s}\). Calculate the spaceship's acceleration at \(t = 0\), mass at \(t = 105 \, \text{s}\), acceleration at \(t = 105 \, \text{s}\), and speed at \(t = 105 \, \text{s}\), relative to the same nearby star. 

**HINT**

(a) Acceleration at \(t = 0\) (Enter the magnitude. Enter your answer in \(\text{m/s}^2\).)

\[\_\_\_\_\_ \, \text{m/s}^2\]

(b) Mass at \(t = 105 \, \text{s}\) (Enter your answer in kg.)

\[\_\_\_\_\_ \, \text{kg}\]

(c) Acceleration at \(t = 105 \, \text{s}\) (Enter the magnitude. Enter your answer in \(\text{m/s}^2\).)

\[\_\_\_\_\_ \, \text{m/s}^2\]

(d) Speed at \(t = 105 \, \text{s}\) (Enter your answer in \(\text{m/s}\).)

\[\_\_\_\_\_ \, \text{m/s}\]
Transcribed Image Text:A spaceship at rest relative to a nearby star in interplanetary space has a total mass of \(3.80 \times 10^4 \, \text{kg}\). Its engines fire at \(t = 0\), steadily burning fuel at \(79.2 \, \text{kg/s}\) with an exhaust speed of \(4.00 \times 10^3 \, \text{m/s}\). Calculate the spaceship's acceleration at \(t = 0\), mass at \(t = 105 \, \text{s}\), acceleration at \(t = 105 \, \text{s}\), and speed at \(t = 105 \, \text{s}\), relative to the same nearby star. **HINT** (a) Acceleration at \(t = 0\) (Enter the magnitude. Enter your answer in \(\text{m/s}^2\).) \[\_\_\_\_\_ \, \text{m/s}^2\] (b) Mass at \(t = 105 \, \text{s}\) (Enter your answer in kg.) \[\_\_\_\_\_ \, \text{kg}\] (c) Acceleration at \(t = 105 \, \text{s}\) (Enter the magnitude. Enter your answer in \(\text{m/s}^2\).) \[\_\_\_\_\_ \, \text{m/s}^2\] (d) Speed at \(t = 105 \, \text{s}\) (Enter your answer in \(\text{m/s}\).) \[\_\_\_\_\_ \, \text{m/s}\]
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