Y10 Equations

Question 1

Speed

Answer 1

Speed (m/s) = distance (m) / time (s)

v = d/t

Question 2

Velocity

Answer 2

Velocity(m/s) = displacement (m) / time (s)
v = s/t

Question 3

Uniform acceleration

Answer 3

Final velocity^2 (m/s) - initial velocity^2 (m/s) = 2 x acceleration (m/s^2) x distance (m)
U^2 - v^2 = 2as

Question 4

Acceleration

Answer 4

Acceleration (m/s^2) = change in velocity (m/s) / time (s)

A = change in v / t

Question 5

Momentum

Answer 5

Momentum (kg m/s) = mass (kg) x velocity (m/s)

P = m x v

Question 6

Weight

Answer 6

Weight (n) = mass (kg) x gravitational field strength (N/kg)

W = m x g

Question 7

Force

Answer 7

Force (N) = mass (kg) x acceleration (m/s^2)

F = m x a

Question 8

Hookes Law

Answer 8

Force (N) = springs constant (N/m) x extension (m)

F = k x e

Question 9

Pressure on an area

Answer 9

Pressure(Pa) = force (N) / area (m^2)
P = f / A

Question 10

Period of a wave

Answer 10

1 / frequency (Hz)

Question 11

Pressure on an object / in water

Answer 11

Pressure (Pa) = height (m) x density (m^2) x gravitational field strength
P = h x p x g

Question 12

Power

Answer 12

Power (W) = energy (J) / time (t)

P = E / t

Question 13

Wave speed

Answer 13

Wave speed (m/s) = frequency (Hz) x wavelength (m)
V = f x λ

Question 14

Work done

Answer 14

Work done (J) = force (N) x distance in the direction of the force (m)
W = f x d

Question 15

Energy (kinetic)

Answer 15

Energy (kinetic) (J) = 1/2 x mass(kg) x velocity ^2 (m/s)

Ek = 1/2 x m x v^2

Question 16

Energy (elastic)

Answer 16

Energy (elastic) (J) = 1/2 x sprigs constant x extension ^2

E(elastic) = 1/2 x k x e^2

Question 17

Energy (gravitational)

Answer 17

Energy (gravitational) (J) = mass (kg) x gravitational field strength (N/kg) x height (m)
Eg = m x g x h