Question

Can someone help with these questions?

Answer 1

One

Givens

• v = 8.5 km/s = 8500 m/s
• R = 25 cm = 0.25 m
• B = 5.29 * 10^-3
• q = 1.6*10^-19
• m = ??

Formula

m*v^2/ R = qvB    Cancel 1 v on each side.

m*v / R = q*B

which for m when transposed is

m = q*B*R/v

m = 1.6*10^-19 * 5.29*10^-3 * 0.25 / 8500

m = 2.49 * 10^-26

Answer: A

Two

Givens

• B = 0.5 T
• q = 1.6 * 10^ -19
• v = ??
• m = 3.34 * 10^-27
• R = 55.6 cm = 0.556 m

Formula

qvB = mv^2/R    Cancel one of the "v"s

qB = mv/R

qBR / m = v

Solution

1.6*10^-19 * 0.5 T * 0.556 m / 3.34 * 10^-27

13317365 = v

1.33 * 10^7 = v