Answer:
<h2>4 m/s</h2>
Explanation:
The speed of the ball can be found by using the formula
![s= \frac{p}{m} \\](https://tex.z-dn.net/?f=s%3D%20%20%5Cfrac%7Bp%7D%7Bm%7D%20%20%5C%5C%20)
p is the momentum
m is the mass
From the question we have
![v = \frac{40}{10} = 4 \\](https://tex.z-dn.net/?f=v%20%3D%20%20%5Cfrac%7B40%7D%7B10%7D%20%20%3D%204%20%5C%5C%20)
We have the final answer as
<h3>4 m/s</h3>
Hope this helps you
Complete Question:
Suppose that an asteroid traveling straight toward the center of the earth were to collide with our planet at the equator and bury itself just below the surface. What would have to be the mass of this asteroid, in terms of the earth’s mass M, for the day to become 25.0% longer than it presently is as a result of the collision? Assume that the asteroid is very small compared to the earth and that the earth is uniform throughout.
Answer:
m = 0.001 M
For the whole process check the following page: https://www.slader.com/discussion/question/suppose-that-an-asteroid-traveling-straight-toward-the-center-of-the-earth-were-to-collide-with-our/
Answer:
The velocities of each ball are
![v_{f2}=8.08 m/s](https://tex.z-dn.net/?f=v_%7Bf2%7D%3D8.08%20m%2Fs)
![v_{f1}=5.28 m/s](https://tex.z-dn.net/?f=v_%7Bf1%7D%3D5.28%20m%2Fs)
Explanation:
Using the conservation of momentum to find the velocity of each balls after the collision
![m_1*v_1+m_2*v_2=m_1*v_{f1}+m_2*v_{f2}](https://tex.z-dn.net/?f=m_1%2Av_1%2Bm_2%2Av_2%3Dm_1%2Av_%7Bf1%7D%2Bm_2%2Av_%7Bf2%7D)
![3kg*8m/s+2kg*4m/s=3kg*v_{f1}+2kg*v_{f2}](https://tex.z-dn.net/?f=3kg%2A8m%2Fs%2B2kg%2A4m%2Fs%3D3kg%2Av_%7Bf1%7D%2B2kg%2Av_%7Bf2%7D)
![32 kg*m/s=3kg*v_{f1}+2kg*v_{f2}](https://tex.z-dn.net/?f=32%20kg%2Am%2Fs%3D3kg%2Av_%7Bf1%7D%2B2kg%2Av_%7Bf2%7D)
Here have one equation but have two variable don't know so
![e=\frac{v_{f2}-v_{f1}}{v_1-v_2}](https://tex.z-dn.net/?f=e%3D%5Cfrac%7Bv_%7Bf2%7D-v_%7Bf1%7D%7D%7Bv_1-v_2%7D)
![0.7=\frac{v_{f2}-v_{f1}}{8m/s-4m/s}](https://tex.z-dn.net/?f=0.7%3D%5Cfrac%7Bv_%7Bf2%7D-v_%7Bf1%7D%7D%7B8m%2Fs-4m%2Fs%7D)
![v_{f2}-v_{f1}=2.8](https://tex.z-dn.net/?f=v_%7Bf2%7D-v_%7Bf1%7D%3D2.8)
Now have two equations and two variables so solving using
![v_{f2}=8.08 m/s](https://tex.z-dn.net/?f=v_%7Bf2%7D%3D8.08%20m%2Fs)
![v_{f1}=5.28 m/s](https://tex.z-dn.net/?f=v_%7Bf1%7D%3D5.28%20m%2Fs)
The larger piston. Because the larger piston has the ability to do more work in the same amount of time as a small piston.