Formulae

Question 1

3 main SUVAT equations

Answer 1

s = ut + 1/2at^2
v = u + at
v^2 = u^2 + 2as

Question 2

To calculate apex (peak vertical height)

Answer 2

X = (u0v0) / g

Question 3

To calculate horizontal range (when vertical displacement is 0 and starting/landing heights are the same)

Answer 3

R = (2u0v0) / g

Question 4

What is Newton’s 1st law and what part of biomechanics does it relate to?

Answer 4

Every body continues in its state of rest or uniform motion unless compelled to change that state by external forces exerted upon it.

Links to law of inertia.

Question 5

What is Newton’s 2nd law (formula)?

Answer 5

F = ma

Question 6

What is Newton’s 3rd law and what part of biomechanics does it relate to?

Answer 6

For every force that is exerted by one body on another, there is an equal and opposite force exerted by the second body on the first.

Links to principle of conservation of momentum.

Question 7

How to convert a force into body weights

Answer 7

BW = force / mg

Question 8

Impulse

Answer 8

I = Ft
I = m(v - u)

Question 9

Conservation of momentum

Answer 9

m1u1 + m2u2 = m1v1 + m2v2

Question 10

Newton’s experimental law

Answer 10

velocity of separation = e * velocity of approach

(v2 - v1) = e (u1 - u2)

e = 1 when no energy is lost
e = 0 when all energy is lost during impact

Question 11

Potential energy

Answer 11

mgh

Question 12

Kinetic energy

Answer 12

1/2mv^2

Question 13

Mechanical energy

Answer 13

PE + KE
mgh + 1/2mv^2

Question 14

Conservation of energy

Answer 14

PE lost = KE gained
mgh = 1/2mv^2 - 1/2mu^2

Question 15

Work done

Answer 15

Change in kinetic energy

Question 16

When no energy is lost within a system

Answer 16

PE + KE (before) = PE + KE (after)
mgh + 1/2mv^2 = mgh + 1/2mv^2

Question 17

Kinetic energy lost (%)

Answer 17

KE(before) = 1/2mu1^2 + 1/2mu2^2
KE(after) = 1/2mv1^2 + 1/2mv2^2

[KE(b) - KE(a) / KE(b)] * 100

Question 18

Conversion between revs, radians, and degrees

Answer 18

1 rev = 2pi rad = 360

Question 19

Equation which combines the length of an arc, radius, and angle, using radians

Answer 19

s = r(theta)

Question 20

Tangential velocity

Answer 20

v = r(omega)

Question 21

Radial acceleration towards centre

Answer 21

v^2 / r

r(omega^2)

Question 22

F = ma, involving circular acceleration

Answer 22

F = m(v^2 / r)

Question 23

To calculate the degree to which a bank is angled

Answer 23

tan(theta) = v^2 / rg

Question 24

What equals 0 when a body is weightless at the top of a loop?

Answer 24

Resultant force

Question 25

How do we calculate acceleration in circular motion questions?

Answer 25

F = ma
a = v^2 / r

Therefore, F = m (v^2 / r)