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Question 6
Figure 9 is a diagram showing a rocket that is sent into space to try and change the path of a small asteroid. (i) The rocket has a mass of 5.5 × 10^6 kg and is tra... show full transcript
Step 1
Answer
To find the momentum () of the rocket, we can use the formula:
Here, the mass () is 5.5 × 10^6 kg and the velocity () is 14 km/s. First, we need to convert the velocity to m/s:
Now, substituting the values:
Therefore, the correct answer is: A. 7.7 × 10^10 kg m/s.
Step 2
Answer
To find the speed of the asteroid, we use the formula for momentum again:
We can rearrange this to solve for speed ():
Given that the momentum () is 7.5 × 10^6 kg m/s and the mass () is 8.0 × 10^6 kg:
Thus, the speed of the asteroid is approximately 0.94 m/s.
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