Secure I https://session.masteringphysics.com/myct/itemView?assignmentProblemID=

Question

Secure I https://session.masteringphysics.com/myct/itemView?assignmentProblemID=82994972 CH 09 HWProblem 9.57 Resources s | 20 of 22| Problem 9.57 Part A Most geologists believe that the dinos aurs became extinct 65 million years ago when a large comet or asteroid struck the earth, throwing up so much dust that the sun was blocked out for a period of many months. Suppose an asteroid with a diameter of 5.0 km and a mass of 2.5x1014 kg hits the earth with an impact speed of 3.5x104 m/s What is the earth's recoil speed after such a collision? Assume that the mass of the earth is 5.98.1024 kg (Use a reference frame in which the earth was initially at rest.) Express your answer to two significant figures and include the appropriate units. ith dad it a t 0 2 Urecoil im Submit My Answers Give Up

Explanation / Answer

Part-A

Since the asteroid hitting the earth is an elastic collision.After the collision the final velocity of the system is gives recoils velocity of the earth

Apply conservation of momentum to asteroid and earth to find recoil speed of the earth

mAuA + mEuE = (mE + mA ) v

Let the initial velocity of the earth be uE = 0

mAuA + mE (0) =  (mE + mA ) v

V = 2.5*10^14 X 3.5*10^4/5.98*10^24+2.5*10^14

= 1.46*10^-6 m/s.

Related Questions

Navigate

• Browse (All)
• Browse S
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.