Further Mechanics

Question 1

What is centripetal acceleration?

Answer 1

The force the circling object receives

Question 2

What formula is used for centripetal acceleration?

Answer 2

F=ma, and variants of this

Question 3

What does the sum of the forces for downwards vertical centripetal motion equal?

Answer 3

mV^2/r = mg + Rt

Question 4

What does the sum of the forces for upwards vertical centripetal motion equal?

Answer 4

mV^2/r = Rb - mg

Question 5

What is the method for deriving centripetal acceleration?

Answer 5

1. Draw the diagram
2. Look at the vertical and horizontal components separately
3. Arrange the equation to linear velocity
4. Put equation 2 into equation 1
5. Sin(theta) = theta for small angles
6. cancel down into centripetal acceleration equation using v=r(omega)

Question 6

What is linear velocity?

Answer 6

The rate of change of displacement

Question 7

What is angular velocity?

Answer 7

The angle to which the point on this circle turns in one second

Question 8

What is the equation for linear velocity?

Answer 8

V = (omega)r, which can become 2(pie)r/T

Question 9

What is the equation for angular velocity?

Answer 9

either (omega) = 2(pie)/T or (omega) = 2(pie)f

Question 10

What does non-relativistic mean?

Answer 10

This means under the speed of light

Question 11

What is the area under a force time graph?

Answer 11

Momentum

Question 12

What is the equation for impulse?

Answer 12

P=Ft

Question 13

What does elastic mean?

Answer 13

That all energy is conserved

Question 14

What is the method for working out momentum in 2D?

Answer 14

1. Resolve all the vectors into horizontal and vertical components
2. Momentum must be conserved in every direction
3. Use Pythagoras to find new resultant vector