Mechanics Equations

Question 1

Momentum =

Answer 1

Mass x Velocity

mv

Question 2

Impulse =

Answer 2

MV - MU

Question 3

Conservation of momentum

Answer 3

mv₁ + mv₂ = mu₁ + mu₂

Question 4

Force =

Answer 4

Mass x Acceleration

F=ma

Question 5

Tension =

Answer 5

Stiffness x Extension
T=kx

or

(Constant x Extension) / Natural length

Question 6

Kinetic Energy =

Answer 6

1/2 x Mass x Velocity²

½mv²

Question 7

Elastic Potential Energy =

Answer 7

½ x Kinetic Energy²

½(½mv²)²

(integration????)

Question 8

Straight Velocity =

Answer 8

Radius x Angular Velocity

rω

Question 9

Radial Acceleration =

Answer 9

Radius x Angular Velocity²
rω²

or

v²/r mrω²

Question 10

Resultant force ( towards centre of circle) =

Answer 10

Mass x Radius x Angular Velocity²
mrω²

or

mv²/r

Question 11

GPE =

Answer 11

Mass x Gravity x Height

MGH

Question 12

Gain in Energy =

Answer 12

Work done by force

Question 13

Loss of Energy =

Answer 13

Work done against force

Question 14

Power =

Answer 14

Force x Velocity

fv

Question 15

How do you calculate Variable acceleration?

Answer 15

= the area underneath a velocity - time graph

The integral of Force in relation to time = ½m(v²-u²)

Question 16

The stiffness of the spring? (k)

Answer 16

Constant of elacticy/ natural length

in n/m