an electron which has a mass of 911 10 31 kg moves with a speed of 0773c find the magnitude of i

Name: an electron which has a mass of 911 10 31 kg moves with a speed of 0773c find the magnitude of its relativistic momentum and compare this value with the momentum calculated from the classica 32676
Uploaded: 2023-07-22T15:09:10-08:00
Duration: 39 s
Channel: Numerade
Description: an electron which has a mass of 911 10 31 kg moves with a speed of 0773c find the magnitude of its relativistic momentum and compare this value with the momentum calculated from the classica 32676

In this question, first of all we have to calculate relative momentum, that is by the formula, m

For this problem, we're told that an electron travels at speed v equals 0 .996, where C is the s

As we know that P is equal to row multiplication MU which is equal to MU by under root 1 minus u

So in this question we are given the mass of an electron and we are asked to make a table showin

In this question we have we know that momentum of classical p c is equals mv and this is equals

Question

An electron, which has a mass of 9.11 x 10^-31 kg, moves with a speed of 0.773c. Find the magnitude of its relativistic momentum and compare this value with the momentum calculated from the classical expression. SOLVE IT Conceptualize Imagine an electron moving with high speed. The electron carries momentum, but the magnitude of its momentum is not given by p = mu because the speed is relativistic. Categorize We categorize this example as a substitution problem involving a relativistic equation. Use Equation 39.19 with u = 0.773c to find the momentum: p = me * u / (1 - (u^2 / c^2))^1/2 p = (9.11 x 10^-31 kg)(0.773)(3.00 x 10^8 m/s) / (1 - (0.773c)^2 / c^2)^1/2 p = 3.338 x 10^-22 kg Â· m/s [Correct: Your answer is correct.] The classical expression (used incorrectly here) gives pclassical = meu = 2.11 x 10^-22 kg Â· m/s. Hence, the correct relativistic result is 50% greater than the classical result! MASTER IT Now a proton was measured to have momentum 7.10 x 10^-20 kgÂ·m/s. What is its speed? Give your answer in units of c. u =______ c

          An electron, which has a mass of 9.11 x 10^-31 kg, moves with a speed of 0.773c. Find the magnitude of its relativistic momentum and compare this value with the momentum calculated from the classical expression.

SOLVE IT
Conceptualize
Imagine an electron moving with high speed. The electron carries momentum, but the magnitude of its momentum is not given by p = mu because the speed is relativistic.

Categorize
We categorize this example as a substitution problem involving a relativistic equation.

Use Equation 39.19 with u = 0.773c to find the momentum:
p = me * u / (1 - (u^2 / c^2))^1/2
p = (9.11 x 10^-31 kg)(0.773)(3.00 x 10^8 m/s) / (1 - (0.773c)^2 / c^2)^1/2
p = 3.338 x 10^-22 kg Â· m/s [Correct: Your answer is correct.]

The classical expression (used incorrectly here) gives pclassical = meu = 2.11 x 10^-22 kg Â· m/s. Hence, the correct relativistic result is 50% greater than the classical result!

MASTER IT
Now a proton was measured to have momentum 7.10 x 10^-20 kgÂ·m/s. What is its speed? Give your answer in units of c.
u =______ c

Added by Tina B.

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