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Potential and Kinetic Energy Problems

- What is the potential energy of a rock that

weighs 100 Newtons that is sitting on top of a

hill 300 meters high?

Potential and Kinetic Energy Problems

- What is the potential energy of a rock that

weighs 100 Newtons that is sitting on top of a

hill 300 meters high? - PE mgh

Potential and Kinetic Energy Problems

- What is the potential energy of a rock that

weighs 100 Newtons that is sitting on top of a

hill 300 meters high? - PE mgh
- PE 100N x 300m

Potential and Kinetic Energy Problems

- What is the potential energy of a rock that

weighs 100 Newtons that is sitting on top of a

hill 300 meters high? - PE mgh
- PE 100N x 300m
- PE 30,000Nm

Potential and Kinetic Energy Problems

- What is the potential energy of a rock that

weighs 100 Newtons that is sitting on top of a

hill 300 meters high? - PE mgh
- PE 100N x 300m
- PE 30,000Nm
- PE 30,000J

Potential and Kinetic Energy Problems

- 2. What is the kinetic energy of a bicycle with a

mass of 14 kg traveling at a velocity of 3 m/s?

Potential and Kinetic Energy Problems

- 2. What is the kinetic energy of a bicycle with a

mass of 14 kg traveling at a velocity of 3 m/s?

KE ½ mv2

Potential and Kinetic Energy Problems

- 2. What is the kinetic energy of a bicycle with a

mass of 14 kg traveling at a velocity of 3 m/s?

KE ½ mv2 KE ½ (14kg)(3m/s)2

Square 1st

Potential and Kinetic Energy Problems

- 2. What is the kinetic energy of a bicycle with a

mass of 14 kg traveling at a velocity of 3 m/s?

KE ½ mv2 KE ½ (14kg)(3m/s)2 KE ½ (14kg)

(9m2/s2)

Multiply 2nd

Potential and Kinetic Energy Problems

- 2. What is the kinetic energy of a bicycle with a

mass of 14 kg traveling at a velocity of 3 m/s?

KE ½ mv2 KE ½ (14kg)(3m/s)2 KE ½ (14kg)

(9m2/s2) KE ½ 126 kgm2/s2 126 Nm

Potential and Kinetic Energy Problems

- 2. What is the kinetic energy of a bicycle with a

mass of 14 kg traveling at a velocity of 3 m/s?

KE ½ mv2 KE ½ (14kg)(3m/s)2 KE ½ (14kg)

(9m2/s2) KE ½ 126 kgm2/s2 126 Nm

Kgm/s2

Potential and Kinetic Energy Problems

- 2. What is the kinetic energy of a bicycle with a

mass of 14 kg traveling at a velocity of 3 m/s?

KE ½ mv2 KE ½ (14kg)(3m/s)2 KE ½ (14kg)

(9m2/s2) KE ½ 126 kgm2/s2 126 Nm

Divide last

Potential and Kinetic Energy Problems

- 2. What is the kinetic energy of a bicycle with a

mass of 14 kg traveling at a velocity of 3 m/s?

KE ½ mv2 KE ½ (14kg)(3m/s)2 KE ½ (14kg)

(9m2/s2) KE ½ 126 kgm2/s2 126 Nm KE 63

Joules

Potential and Kinetic Energy Problems

- 3. A 1-kilogram ball has a kinetic energy of 50

joules. What is the velocity of the ball?

Potential and Kinetic Energy Problems

- 3. A 1-kilogram ball has a kinetic energy of 50

joules. What is the velocity of the ball? - KE ½ mv2

Potential and Kinetic Energy Problems

- 3. A 1-kilogram ball has a kinetic energy of 50

joules. What is the velocity of the ball? - KE ½ mv2
- 50J ½ (1kg)v2

Potential and Kinetic Energy Problems

- 3. A 1-kilogram ball has a kinetic energy of 50

joules. What is the velocity of the ball? - KE ½ mv2
- 50J ½ (1kg)v2
- 2 x 50J (1kg)v2 x 2
- 2

Potential and Kinetic Energy Problems

- 3. A 1-kilogram ball has a kinetic energy of 50

joules. What is the velocity of the ball? - KE ½ mv2
- 50J ½ (1kg)v2
- 2 x 50J (1kg)v2 x 2
- 2
- 100kgm2/s2 (1kg)v2
- 1 kg 1kg

Potential and Kinetic Energy Problems

- 3. A 1-kilogram ball has a kinetic energy of 50

joules. What is the velocity of the ball? - KE ½ mv2
- 50J ½ (1kg)v2
- 2 x 50J (1kg)v2 x 2
- 2
- 100kgm2/s2 (1kg)v2
- 1 kg 1kg

100 m2/s2 v2

Potential and Kinetic Energy Problems

- 3. A 1-kilogram ball has a kinetic energy of 50

joules. What is the velocity of the ball? - KE ½ mv2
- 50J ½ (1kg)v2
- 2 x 50J (1kg)v2 x 2
- 2
- 100kgm2/s2 (1kg)v2
- 1 kg 1kg

100 m2/s2 v2

10m/s v

Potential and Kinetic Energy Problems

- 4. What is the potential energy of the rock?

Potential and Kinetic Energy Problems

- 4. What is the potential energy of the rock?
- Given in kg, not Newtonsmust multiply mass

times gravity

Potential and Kinetic Energy Problems

- 4. What is the potential energy of the rock?
- PE mgh

Potential and Kinetic Energy Problems

- 4. What is the potential energy of the rock?
- PE mgh
- PE 95kg(9.8m/s2)(100m)

Potential and Kinetic Energy Problems

- 4. What is the potential energy of the rock?
- PE mgh
- PE 95kg(9.8m/s2)(100m)
- PE 93,100 kgm2/s2 kgm/s2 N m

Potential and Kinetic Energy Problems

- 4. What is the potential energy of the rock?
- PE mgh
- PE 95kg(9.8m/s2)(100m)
- PE 93,100 kgm2/s2 kgm/s2 N m
- PE 93,100 Nm

Potential and Kinetic Energy Problems

- 4. What is the potential energy of the rock?
- PE mgh
- PE 95kg(9.8m/s2)(100m)
- PE 93,100 kgm2/s2 kgm/s2 N m
- PE 93,100 Nm
- PE 93,100 J

Potential and Kinetic Energy Problems

- 5. What is the approximate difference in

gravitational potential energy of the two shaded

boxes?

Potential and Kinetic Energy Problems

- 5. What is the approximate difference in

gravitational potential energy of the two shaded

boxes? - PE mgh

Potential and Kinetic Energy Problems

- 5. What is the approximate difference in

gravitational potential energy of the two shaded

boxes? - PE mgh
- PE 2.0kg(9.8m/s2)(3.0m)

Potential and Kinetic Energy Problems

- 5. What is the approximate difference in

gravitational potential energy of the two shaded

boxes? - PE mgh
- PE 2.0kg(9.8m/s2)(3.0m)
- PE 58.8 kgm2/s2 or Nm

Potential and Kinetic Energy Problems

- 5. What is the approximate difference in

gravitational potential energy of the two shaded

boxes? - PE mgh
- PE 2.0kg(9.8m/s2)(3.0m)
- PE 58.8 kgm2/s2 or Nm
- PE 58.8 J

Potential and Kinetic Energy Problems

- 5. What is the approximate difference in

gravitational potential energy of the two shaded

boxes? - PE mgh

Potential and Kinetic Energy Problems

- 5. What is the approximate difference in

gravitational potential energy of the two shaded

boxes? - PE mgh
- PE 2.0kg (9.8m/s2)(1.0m)

Potential and Kinetic Energy Problems

- 5. What is the approximate difference in

gravitational potential energy of the two shaded

boxes? - PE mgh
- PE 2.0kg (9.8m/s2)(1.0m)
- PE 19.6 kgm/s2 or Nm

Potential and Kinetic Energy Problems

- 5. What is the approximate difference in

gravitational potential energy of the two shaded

boxes? - PE mgh
- PE 2.0kg (9.8m/s2)(1.0m)
- PE 19.6 kgm/s2 or Nm
- PE 19.6 J

Potential and Kinetic Energy Problems

- 5. What is the approximate difference in

gravitational potential energy of the two shaded

boxes? - 58.8J 19.6J 39.2J