Midterm Review

Question 1

Acceleration Formulas

Answer 1

v = at + v[0]
x = 1/2 at^2 + v[0]t + x[0]
v[f]^2 - v[0]^2 = 2a * Δx

Question 2

Projectile Motion

Answer 2

Horizontal: vcosθ, v = d/t, vf^2-vi^2 = 2a * Δy
Vertical: vsinθ, v[y] = at + v[0]
Note: be creative with acceleration formulas

Question 3

Radial Acceleration

Answer 3

v^2 / r

Question 4

Magnitude of Circular Acceleration

Answer 4

√(a[t]^2 + a[r]^2)

Question 5

Tangential Acceleration

Answer 5

a = r a(angular) or a = (v[f]^2 - v[0]^2) / 2s where s is the distance between points

Question 6

Circular Distance

Answer 6

s = 1/2 a[t]*t^2

Question 7

Work Energy with an Angle

Answer 7

W = F * Δs

= F * Δs * cosθ

Question 8

Constant force in 2D

Answer 8

W[F] = F[||] * Δs

Question 9

Momentum

Answer 9

p = mv
Δp = p2 - p1

Question 10

Mechanical Energy

Answer 10

gravitational (u) + kinetic

Question 11

Change in Potential Energy Δu

Answer 11

W[g] = - mgh
Δu = -W[g]

Question 12

W[T] = Δk

Answer 12

mgh = 1/2 mv^2

Question 13

ME when object dropped on spring

Answer 13

mg(h+x) = 1/2 kx^2

Question 14

Acceleration of a system

Answer 14

F = ma
F = (m1 + m2)a

Question 15

What is Ek when spring is stretched?

Answer 15

1/2 kh^2

Question 16

h such that object barely stays in touch with top of track attached to end of a hill?

Answer 16

v^2 = rg