Open main menu

Changes

Kinetic Energy Store

443 bytes added, 13:49, 31 January 2019
Calculating Velocity from Kinetic Energy
| style="height:20px; width:200px; text-align:center;" |A 75kg person has a '''kinetic energy''' of 96J while while walking. Calculate their [[speed]].
| style="height:20px; width:200px; text-align:center;" |A [[bird]] of [[mass]] 2.4kg flies at a constant [[speed]] with a '''kinetic energy store''' of 1500J. Calculate the [[speed]] of the [[bird]] correct to two [[Significant Figure|significant figures]].
| style="height:20px; width:200px; text-align:center;" |QuestionA 60g bullet has a '''kinetic energy store''' of 750J. Calculate the [[speed]] of the bullet correct to two [[Significant Figures|significant figures]].
|-
| style="height:20px; width:200px; text-align:left;" |'''1. State the known quantities'''
m = 2.4kg
| style="height:20px; width:200px; text-align:left;" |'''1. State the known quantities'''
E<sub>k</sub> = 750J
 
m = 60g = 0.06kg
|-
| style="height:20px; width:200px; text-align:left;" |'''2. [[Substitute (Maths)|Substitute]] the numbers and [[Evaluate (Maths)|evaluate]].'''
<math>1500 = 1.2v^2</math>
| style="height:20px; width:200px; text-align:left;" |'''2. [[Substitute (Maths)|Substitute]] the numbers and [[Evaluate (Maths)|evaluate]].'''
<math>E_k = \frac{1}{2} m v^2</math>
 
<math>750 = \frac{1}{2} \times 0.06 \times v^2</math>
 
<math>750 = 0.03v^2</math>
|-
| style="height:20px; width:200px; text-align:left;" |'''3. [[Rearrange (Maths)|Rearrange]] the equation and [[Solve (Maths)|solve]].'''
| style="height:20px; width:200px; text-align:left;" |'''3. [[Rearrange (Maths)|Rearrange]] the equation and [[Solve (Maths)|solve]].'''
 
<math>v^2 = \frac{750}{0.06}</math>
 
<math>v = \sqrt{\frac{750}{0.06}}</math>
 
<math>v = 158.1139m/s</math>
 
<math>v \approx 160m/s</math>
|}