Forces and Motion Calculations

What is the equation that links gravitational field strength (g), mass (m) and weight (W)?

• Weight = Mass x Gravitational Field Strength, or W=mg

• Weight = Mass / Gravitational Field Strength, or W=m/g

• Weight = Gravitational Field Strength / Mass, or W=g/m

Tags

NGSS.HS-PS2-4

What is the equation that links distance (s), force (F) and work done (W)?

• Work Done = Force x Distance, or W=Fs

• Work Done = Force / Distance, or W=F/s

• Work Done = Distance / Force, or W=s/F

What is the equation that links distance [in a direction] (s), time (t) and velocity (v)?

• velocity = time x distance, or v=ts

• velocity = distance / time, or v=s/t

• velocity = time / distance, or v=t/s

What is the equation that links acceleration (a), change in velocity (Δv) and time (t)?

• Acceleration = Change in Velocity x Time, or a=Δv x t

• Acceleration = Change in Velocity / Time, or a=Δv/t

• Acceleration = Time / Change in Velocity, or a=t/Δv

Tags

NGSS.HS-PS2-1

What is the equation that links acceleration (a), mass (m), and resultant force (F)?

• Resultant Force = Mass x Acceleration, or F=ma

• Resultant Force = Mass / Acceleration, or F=m/a

• Resultant Force = Acceleration / Mass, or F=a/m

Tags

NGSS.HS-PS2-1

What is the equation that links mass (m), momentum (p), and velocity (v)?

• Momentum = Mass x Velocity, or p=mv

• Momentum = Mass / Velocity, or p=m/v

• Momentum = Velocity / Mass, or p=v/m

Tags

NGSS.HS-PS2-2

What is the equation that links kinetic energy (E_k), mass (m) and velocity (v)?

• Kinetic Energy = 0.5 x Mass x Velocity², or E_k=0.5 x m x v²

• Kinetic Energy = 0.5 x Mass² x Velocity, or E_k=0.5 x m² x v

• Kinetic Energy = 0.5 x Mass² / Velocity, or E_k=0.5 x m² / v

Tags

NGSS.HS-PS3-2

What is the equation that links gravitational field strength (g), gravitational potential energy (E_g), height (h), and mass (m)?

• Gravitational Potential Energy = Mass x Gravitational Field Strength x Height, or E_g=mgh

• Gravitational Potential Energy = Mass / (Gravitational Field Strength x Height), or E_g=m/(gh)

• Gravitational Potential Energy = Mass x Gravitational Field Strength / Height, or E_g=mg/h

What is the equation that links work done (energy transferred) (E), power (P) and time (t)?

• Power = Work Done / Time, or P=E/t

• Power = Time / Work Done, or P=t/E

• Power = Work Done x Time, or P=Et

What is the equation that links extension (x), force applied to a spring (F) and spring constant (k)?

• Force applied to a Spring = Spring Constant x Extension, or F=kx

• Force applied to a Spring = Spring Constant / Extension, or F=k/x

• Force applied to a Spring = Extension / Spring Constant, or F=x/k