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
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 \(\text{m/s}\).)
\[\_\_\_\_\_ \, \text{m/s}\]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fefb90554-99c9-45c1-a8f3-0845011fdf9e%2Fe8116211-d3a1-4c37-b38a-5d22b664ceaa%2F4ev6swn_processed.jpeg&w=3840&q=75)
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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