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Chapter 36: Q. 37 (page 1060)

What are the rest energy, the kinetic energy, and the total energy of a 1.0g particle with a speed of 0.80c?

Short Answer

Expert verified

KE=2.88脳1013JE慰=9.0脳1013JEtotal=1.188脳1014J

Step by step solution

01

Given Information

We have given that

m=1.0g鈫�0.001kgv=0.80c
02

Simplify

Kinetic Energy formula is

KE=12mv2

Therefore substituting values in equation we get

KE=12mv2KE=12(0.001kg)(0.8)2(3脳108)2 KE=2.88脳1013J

Now, to find rest energy we use the below formula

E慰=mc2

Substituting values in rest energy formula we get

E慰=mc2E慰=(0.001kg)(3脳108)2 E慰=9.0脳1013J

Lastly, to find the total energy we will use the below formula

Etotal=KE+E慰

Substitute the given values in the total energy formula

Etotal=KE+E慰Etotal=2.88脳1013J+9.0脳1013JEtotal=1.188脳1014J

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