Physics I Mid Term Exam Study Guide
Be able to:
Distinguish between scalar and vector quantities.
Calculate the velocity and acceleration of an object.
Understand the velocity, acceleration and motion of an object in free fall.
Interpret position-time, velocity-time, and acceleration-time graphs.
Calculate the motion and forces acting on an object in one dimension.
Describe the motion and forces affecting an object moving in a circular path.
Understand how frictional forces affect the motion of an object.
Calculate the centripetal force acting on an object moving in a circular path.
Describe Newton’s First Law of motion (Law of Inertia)
Determine how the forces acting on an object affect its motion (Newton’s Second Law).
Identify action-reaction forces (Newton’s Third Law).
Determine the forces imparted on objects involved in collisions.
Distinguish between on object’s weight and mass.
Determine if the forces acting on an object are balanced or unbalanced.
Calculate the forces acting on an object on an inclined plane.
Calculate the tension of wires that are supporting a mass.
Understand the concept of terminal velocity.
Calculate the horizontal and vertical components (velocity, acceleration, displacement) of a
projectile moving in two dimensions.
Determine how mass and distance affect the gravitational force between two objects.
Calculate the gravitational force exerted between two masses.
Calculate the momentum and impulse of an object.
Describe the relationship between work and energy.
Calculate work.
Physics I Mid Term Exam Study Guide
Calculate power.
Relate work and energy.
Calculate kinetic and potential energy.
Identify how elastic potential energy is stored.
Solve problems using the law of conservation of energy and the work-energy theorem.
Analyze collisions to find the change in momentum and kinetic energy.
Physics I Mid Term Exam Study Guide
Formulas
∆𝑥 = 𝑥𝑓 − 𝑥𝑖
𝑣̅ =
∆𝑥
∆𝑡
=
𝐴𝑣𝑒𝑟𝑎𝑔𝑒 𝑠𝑝𝑒𝑒𝑑 =
𝑥𝑓 −𝑥𝑖
𝑎̅ =
𝑡𝑓 −𝑡𝑖
∆𝑣
=
∆𝑡
𝑡𝑜𝑡𝑎𝑙 𝑑𝑖𝑠𝑡𝑎𝑛𝑐𝑒
𝑡𝑜𝑡𝑎𝑙 𝑡𝑖𝑚𝑒
𝑣𝑓 −𝑣𝑖
𝑡𝑓 −𝑡𝑖
1
∆𝑥 = 𝑣0 𝑡 + 2 𝑎𝑡 2
𝑣 = 𝑣0 + 𝑎𝑡
𝑣 2 = 𝑣0 2 + 2𝑎∆𝑥
𝐴𝑥 = 𝐴 cos 𝜃
𝐴𝑦 = 𝐴 sin 𝜃
𝑅𝑥 = 𝐴𝑥 + 𝐵𝑥
𝑅𝑦 = 𝐴𝑦 + 𝐵𝑦
𝑅 = √𝑅𝑥 2 + 𝑅𝑦 2
𝜃 = tan−1 (𝑅 )
𝑊ℎ𝑒𝑟𝑒 𝑎 = 0, 𝐹𝑛𝑒𝑡 = 0
𝑊ℎ𝑒𝑟𝑒 𝑎 ≠ 0, 𝐹𝑛𝑒𝑡 = 𝑚𝑎
𝐹𝑛𝑒𝑡 = 𝑚𝑎
𝑤 = 𝑚𝑔
𝐹𝑓 = 𝜇𝑘 𝐹𝑁
𝐹𝑁 = 𝑚𝑔 cos 𝜃
𝐹𝑔 = 𝑚𝑔 sin 𝜃
𝐹𝑔 = 𝑚𝑔 cos 𝜃
𝑥 = 𝑣0 𝑥 𝑡
𝑣𝑦 = 𝑣0 𝑦 − 𝑔𝑡
𝑅𝑦
𝑥
𝑥
𝑦
1
𝑦 = 𝑣0 𝑦 𝑡 − 2 𝑔𝑡 2
𝐹𝑐 =
𝑣𝑦 2 = 𝑣0 𝑦 2 − 2𝑔𝑦
𝑚𝑣 2
𝜔𝑎𝑣 =
𝑎𝑐 =
𝑟
𝜃𝑓 −𝜃𝑖
𝑡𝑓 −𝑡𝑖
=
∆𝜃
𝑣2
𝑟
𝛼𝑎𝑣 =
∆𝑡
𝜔𝑓 −𝜔𝑖
𝑡𝑓 −𝑡𝑖
=
∆𝜔
∆𝑡
𝐺 = 6.673𝑥10−11 𝑁𝑚2⁄𝑘𝑔2
360° = 1 𝑟𝑒𝑣 = 2𝜋 𝑟𝑎𝑑
𝑊 = 𝐹𝑑 cos 𝜃
𝑊 = ∆𝐾𝐸 + ∆𝑃𝐸𝑔 + ∆𝑃𝐸𝑠
1
1
𝐾𝐸 = 2 𝑚𝑣 2
𝑃𝐸𝑠 = 2 𝑘𝑥 2
𝑃𝐸𝑔 = 𝑚𝑔ℎ
𝐾𝐸𝑖 + 𝑃𝐸𝑔 + 𝑃𝐸𝑠 𝑖 = 𝐾𝐸𝑓 + 𝑃𝐸𝑔 + 𝑃𝐸𝑠 𝑓
𝑖
𝑓
𝑃=
𝑊
𝑡
= 𝐹𝑣̅
Physics I Mid Term Exam Study Guide
1 ℎ𝑝 = 746 𝑊
𝑝 = 𝑚𝑣
∆𝑝 = 𝐹∆𝑡
∆𝑝 = 𝐹∆𝑡 = 𝑚∆𝑣 = 𝑚(𝑣𝑓 − 𝑣𝑖 )
𝐼 = ∆𝑝
𝑚1 𝑣1 𝑖 + 𝑚2 𝑣2 𝑖 = 𝑚1 𝑣1𝑓 + 𝑚2 𝑣2𝑓
𝑚1 𝑣1 𝑖 + 𝑚2 𝑣2 𝑖 = (𝑚1 + 𝑚2 )𝑣𝑓
1
2
1
1
1
𝑚1 𝑣1 𝑖 2 + 2 𝑚2 𝑣2 𝑖 2 = 2 𝑚1 𝑣1𝑓 2 + 2 𝑚2 𝑣2𝑓 2
𝑣1 𝑖 − 𝑣2 𝑖 = − (𝑣1 𝑓 − 𝑣2 𝑓 )