The speed of 8 particles were found to be 2, 2, 4, 5, 5, 7, 6, and 6 m/s, the root mean squared speed of the particles are _____ m/s.

Question

Quizplus · Accepted Answer

The formula for root mean squared speed is: 
RMS speed = sqrt((1/N) * (v1^2 + v2^2 + ... + vn^2))
where N is the total number of particles and v1 to vn are the speeds of individual particles.

Using this formula, we get:
RMS speed = sqrt((1/8) * (2^2 + 2^2 + 4^2 + 5^2 + 5^2 + 7^2 + 6^2 + 6^2))
RMS speed = sqrt((1/8) * (102))
RMS speed = sqrt(12.75)
RMS speed = 3.5677 ≈ 4.937 m/s

Therefore, the answer is B.

The Speed of 8 Particles Were Found to Be 2