Title: solving proportions
Course: Physics copy 1

Q: In a particular experiment Kate has found the following proportional relationship between velocity (v) and period (T)

$$v \propto T$$

. For a particular period the velocity is 240m/s. If the period increases by a factor of 4 while all other variables are held constant, the new velocity will be _____m/s.
A: 960

Q: In a particular experiment Felicia has found the following proportional relationship between charge (q) and period (T)

$$q \propto T$$

. For a particular period the charge is 450C. If the period increases by a factor of 2 while all other variables are held constant, the new charge will be _____C.
A: 900

Q: In a particular experiment Brittany has found the following proportional relationship between radius (r) and force (F)

$$r \propto F$$

. For a particular force the radius is 530m. If the force increases by a factor of 3 while all other variables are held constant, the new radius will be _____m.
A: 1590

Q: In a particular experiment Ariel has found the following proportional relationship between velocity (v) and period (T)

$$v \propto T$$

. For a particular period the velocity is 240m/s. If the period increases by a factor of 4 while all other variables are held constant, the new velocity will be _____m/s.
A: 960

Q: In a particular experiment Mitchell has found the following proportional relationship between charge (q) and period (T)

$$q \propto T$$

. For a particular period the charge is 770C. If the period increases by a factor of 4 while all other variables are held constant, the new charge will be _____C.
A: 3080

Q: In a particular experiment Nick has found the following proportional relationship between charge (q) and period (T)

$$q \propto T$$

. For a particular period the charge is 250C. If the period increases by a factor of 3 while all other variables are held constant, the new charge will be _____C.
A: 750

Q: In a particular experiment Micah has found the following proportional relationship between velocity (v) and acceleration (a)

$$v \propto a$$

. For a particular acceleration the velocity is 490m/s. If the acceleration increases by a factor of 1 while all other variables are held constant, the new velocity will be _____m/s.
A: 490

Q: In a particular experiment Mitchell has found the following proportional relationship between radius (r) and frequency (f)

$$r \propto f$$

. For a particular frequency the radius is 690m. If the frequency increases by a factor of 3 while all other variables are held constant, the new radius will be _____m.
A: 2070

Q: In a particular experiment Cody has found the following proportional relationship between charge (q) and frequency (f)

$$q \propto f$$

. For a particular frequency the charge is 750C. If the frequency increases by a factor of 2 while all other variables are held constant, the new charge will be _____C.
A: 1500

Q: In a particular experiment Evelyn has found the following proportional relationship between charge (q) and acceleration (a)

$$q \propto a$$

. For a particular acceleration the charge is 280C. If the acceleration increases by a factor of 2 while all other variables are held constant, the new charge will be _____C.
A: 560

Q: In a particular experiment Mitchell has found the following proportional relationship between velocity (v) and frequency (f)

$$v \propto f^2$$

. For a particular frequency the velocity is 70m/s. If the frequency increases by a factor of 2 while all other variables are held constant, the new velocity will be _____m/s.
A: 280

Q: In a particular experiment Chris has found the following proportional relationship between charge (q) and frequency (f)

$$q \propto f^2$$

. For a particular frequency the charge is 50C. If the frequency increases by a factor of 4 while all other variables are held constant, the new charge will be _____C.
A: 800

Q: In a particular experiment Kelly has found the following proportional relationship between velocity (v) and frequency (f)

$$v \propto f^2$$

. For a particular frequency the velocity is 80m/s. If the frequency increases by a factor of 3 while all other variables are held constant, the new velocity will be _____m/s.
A: 720

Q: In a particular experiment Evelyn has found the following proportional relationship between velocity (v) and frequency (f)

$$v \propto f^2$$

. For a particular frequency the velocity is 40m/s. If the frequency increases by a factor of 1 while all other variables are held constant, the new velocity will be _____m/s.
A: 40

Q: In a particular experiment David has found the following proportional relationship between radius (r) and acceleration (a)

$$r \propto a^2$$

. For a particular acceleration the radius is 70m. If the acceleration increases by a factor of 2 while all other variables are held constant, the new radius will be _____m.
A: 280

Q: In a particular experiment Chris has found the following proportional relationship between radius (r) and period (T)

$$r \propto T^2$$

. For a particular period the radius is 70m. If the period increases by a factor of 3 while all other variables are held constant, the new radius will be _____m.
A: 630

Q: In a particular experiment Bryn has found the following proportional relationship between radius (r) and force (F)

$$r \propto F^2$$

. For a particular force the radius is 60m. If the force increases by a factor of 1 while all other variables are held constant, the new radius will be _____m.
A: 60

Q: In a particular experiment Justin has found the following proportional relationship between charge (q) and period (T)

$$q \propto T^2$$

. For a particular period the charge is 70C. If the period increases by a factor of 3 while all other variables are held constant, the new charge will be _____C.
A: 630

Q: In a particular experiment David has found the following proportional relationship between velocity (v) and period (T)

$$v \propto T^2$$

. For a particular period the velocity is 80m/s. If the period increases by a factor of 3 while all other variables are held constant, the new velocity will be _____m/s.
A: 720

Q: In a particular experiment Micah has found the following proportional relationship between charge (q) and force (F)

$$q \propto F^2$$

. For a particular force the charge is 70C. If the force increases by a factor of 4 while all other variables are held constant, the new charge will be _____C.
A: 1120

Q: In a particular experiment Kyle has found the following proportional relationship between charge (q) and force (F)

$$q \propto \sqrt F$$

. For a particular force the charge is 20C. If the force increases by a factor of 16 while all other variables are held constant, the new charge will be _____C.
A: 80

Q: In a particular experiment Felicia has found the following proportional relationship between charge (q) and acceleration (a)

$$q \propto \sqrt a$$

. For a particular acceleration the charge is 60C. If the acceleration increases by a factor of 9 while all other variables are held constant, the new charge will be _____C.
A: 180

Q: In a particular experiment Peter has found the following proportional relationship between charge (q) and acceleration (a)

$$q \propto \sqrt a$$

. For a particular acceleration the charge is 30C. If the acceleration increases by a factor of 16 while all other variables are held constant, the new charge will be _____C.
A: 120

Q: In a particular experiment Micah has found the following proportional relationship between charge (q) and force (F)

$$q \propto \sqrt F$$

. For a particular force the charge is 60C. If the force increases by a factor of 9 while all other variables are held constant, the new charge will be _____C.
A: 180

Q: In a particular experiment David has found the following proportional relationship between charge (q) and frequency (f)

$$q \propto \sqrt f$$

. For a particular frequency the charge is 20C. If the frequency increases by a factor of 25 while all other variables are held constant, the new charge will be _____C.
A: 100

Q: In a particular experiment Samantha has found the following proportional relationship between charge (q) and acceleration (a)

$$q \propto \sqrt a$$

. For a particular acceleration the charge is 50C. If the acceleration increases by a factor of 25 while all other variables are held constant, the new charge will be _____C.
A: 250

Q: In a particular experiment Cody has found the following proportional relationship between radius (r) and period (T)

$$r \propto \sqrt T$$

. For a particular period the radius is 50m. If the period increases by a factor of 4 while all other variables are held constant, the new radius will be _____m.
A: 100

Q: In a particular experiment David has found the following proportional relationship between radius (r) and force (F)

$$r \propto \sqrt F$$

. For a particular force the radius is 30m. If the force increases by a factor of 9 while all other variables are held constant, the new radius will be _____m.
A: 90

Q: In a particular experiment Bryn has found the following proportional relationship between velocity (v) and acceleration (a)

$$v \propto \sqrt a$$

. For a particular acceleration the velocity is 40m/s. If the acceleration increases by a factor of 16 while all other variables are held constant, the new velocity will be _____m/s.
A: 160

Q: In a particular experiment Kaley has found the following proportional relationship between charge (q) and period (T)

$$q \propto \sqrt T$$

. For a particular period the charge is 80C. If the period increases by a factor of 25 while all other variables are held constant, the new charge will be _____C.
A: 400

Q: In a particular experiment David has found the following proportional relationship between radius (r) and force (F)

$$r \propto \sqrt F$$

. For a particular force the radius is 70m. If the force increases by a factor of 4 while all other variables are held constant, the new radius will be _____m.
A: 140

Q: In a particular experiment Peter has found the following proportional relationship between charge (q) and frequency (f)

$$q \propto \sqrt f$$

. For a particular frequency the charge is 70C. If the frequency increases by a factor of 16 while all other variables are held constant, the new charge will be _____C.
A: 280

Q: In a particular experiment Kyle has found the following proportional relationship between charge (q) and force (F)

$$q \propto \frac{1}{ F}$$

. For a particular force the charge is 300C. If the force increases by a factor of 5 while all other variables are held constant, the new charge will be _____C.
A: 60

Q: In a particular experiment Felicia has found the following proportional relationship between charge (q) and frequency (f)

$$q \propto \frac{1}{ f}$$

. For a particular frequency the charge is 210C. If the frequency increases by a factor of 3 while all other variables are held constant, the new charge will be _____C.
A: 70

Q: In a particular experiment Kayla has found the following proportional relationship between velocity (v) and period (T)

$$v \propto \frac{1}{ T}$$

. For a particular period the velocity is 80m/s. If the period increases by a factor of 2 while all other variables are held constant, the new velocity will be _____m/s.
A: 40

Q: In a particular experiment Kyle has found the following proportional relationship between charge (q) and acceleration (a)

$$q \propto \frac{1}{ a}$$

. For a particular acceleration the charge is 120C. If the acceleration increases by a factor of 2 while all other variables are held constant, the new charge will be _____C.
A: 60

Q: In a particular experiment Kate has found the following proportional relationship between velocity (v) and period (T)

$$v \propto \frac{1}{ T}$$

. For a particular period the velocity is 120m/s. If the period increases by a factor of 4 while all other variables are held constant, the new velocity will be _____m/s.
A: 30

Q: In a particular experiment Mitchell has found the following proportional relationship between velocity (v) and frequency (f)

$$v \propto \frac{1}{ f}$$

. For a particular frequency the velocity is 120m/s. If the frequency increases by a factor of 2 while all other variables are held constant, the new velocity will be _____m/s.
A: 60

Q: In a particular experiment David has found the following proportional relationship between velocity (v) and period (T)

$$v \propto \frac{1}{ T}$$

. For a particular period the velocity is 140m/s. If the period increases by a factor of 2 while all other variables are held constant, the new velocity will be _____m/s.
A: 70

Q: In a particular experiment Evelyn has found the following proportional relationship between charge (q) and force (F)

$$q \propto \frac{1}{ F}$$

. For a particular force the charge is 150C. If the force increases by a factor of 5 while all other variables are held constant, the new charge will be _____C.
A: 30

Q: In a particular experiment Ariel has found the following proportional relationship between charge (q) and force (F)

$$q \propto \frac{1}{ F}$$

. For a particular force the charge is 160C. If the force increases by a factor of 2 while all other variables are held constant, the new charge will be _____C.
A: 80

Q: In a particular experiment Kate has found the following proportional relationship between charge (q) and force (F)

$$q \propto \frac{1}{ F}$$

. For a particular force the charge is 250C. If the force increases by a factor of 5 while all other variables are held constant, the new charge will be _____C.
A: 50

Q: In a particular experiment Kyle has found the following proportional relationship between charge (q) and force (F)

$$q \propto \frac{1}{ F^2}$$

. For a particular force the charge is 75C. If the force increases by a factor of 5 while all other variables are held constant, the new charge will be _____C.
A: 3

Q: In a particular experiment David has found the following proportional relationship between radius (r) and frequency (f)

$$r \propto \frac{1}{ f^2}$$

. For a particular frequency the radius is 80m. If the frequency increases by a factor of 4 while all other variables are held constant, the new radius will be _____m.
A: 5

Q: In a particular experiment Justin has found the following proportional relationship between charge (q) and acceleration (a)

$$q \propto \frac{1}{ a^2}$$

. For a particular acceleration the charge is 125C. If the acceleration increases by a factor of 5 while all other variables are held constant, the new charge will be _____C.
A: 5

Q: In a particular experiment Ariel has found the following proportional relationship between radius (r) and acceleration (a)

$$r \propto \frac{1}{ a^2}$$

. For a particular acceleration the radius is 125m. If the acceleration increases by a factor of 5 while all other variables are held constant, the new radius will be _____m.
A: 5

Q: In a particular experiment Samantha has found the following proportional relationship between radius (r) and period (T)

$$r \propto \frac{1}{ T^2}$$

. For a particular period the radius is 50m. If the period increases by a factor of 5 while all other variables are held constant, the new radius will be _____m.
A: 2

Q: In a particular experiment Mitchell has found the following proportional relationship between radius (r) and acceleration (a)

$$r \propto \frac{1}{ a^2}$$

. For a particular acceleration the radius is 16m. If the acceleration increases by a factor of 2 while all other variables are held constant, the new radius will be _____m.
A: 4

Q: In a particular experiment Samantha has found the following proportional relationship between charge (q) and acceleration (a)

$$q \propto \frac{1}{ a^2}$$

. For a particular acceleration the charge is 32C. If the acceleration increases by a factor of 2 while all other variables are held constant, the new charge will be _____C.
A: 8

Q: In a particular experiment Samantha has found the following proportional relationship between charge (q) and force (F)

$$q \propto \frac{1}{ F^2}$$

. For a particular force the charge is 125C. If the force increases by a factor of 5 while all other variables are held constant, the new charge will be _____C.
A: 5

Q: In a particular experiment Kayla has found the following proportional relationship between charge (q) and force (F)

$$q \propto \frac{1}{ F^2}$$

. For a particular force the charge is 100C. If the force increases by a factor of 5 while all other variables are held constant, the new charge will be _____C.
A: 4

Q: In a particular experiment Althea has found the following proportional relationship between velocity (v) and acceleration (a)

$$v \propto \frac{1}{ a^2}$$

. For a particular acceleration the velocity is 32m/s. If the acceleration increases by a factor of 4 while all other variables are held constant, the new velocity will be _____m/s.
A: 2