# Worksheet: Lorentz Transformation

Q1:

If relativistic effects are to modify time and length values by less than 1%, then the Lorentz factor must be less than 1.01. At what relative velocity is ?β¨

Q2:

If relativistic effects are to be less than , then must be less than 1.04. At what velocity is ?

Q3:

An object initially moves at 0.200 and then, sometime later, it moves at 0.800.

What is the Lorentz factor when = 0.200?

What is the Lorentz factor when = 0.800?

Q4:

A proton has a momentum of kgβm/s.

Calculate for the proton.

Calculate the protonβs speed.

• A
• B
• C
• D
• E

Q5:

What is the Lorentz factor for a proton having a mass energy of 938.3 MeV accelerated through an effective potential of 1.00 teravolts?

• A
• B
• C
• D
• E

Q6:

At what relative velocity is the Lorentz factor ?

• A
• B
• C
• D
• E

Q7:

What is the Lorentz factor produced by a relative velocity of ?

Q8:

What is the Lorentz factor produced by a relative velocity of ?

Q9:

At what relative velocity is the Lorentz factor ?