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Newton's Second Law

3 bytes added, 16:51, 14 February 2019
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===Example Calculations===
====Finding the Force given Mass and Acceleration====
{| class="wikitable"
| style="height:20px; width:200px300px; text-align:center;" |A 2.3kg [[object]] [[accelerate]]s at a rate of 8.8m/s/s. Calculate the [[Resultant Force|resultant force]] acting on the [[object]] correct to two [[Significant Figures|significant figures]].| style="height:20px; width:200px300px; text-align:center;" |A 5.5x10<sup>4</sup>kg rocket [[accelerate]]s at a rate of 61m/s/s. Calculate the [[Resultant Force|resultant force]] acting on the rocket correct to two [[Significant Figures|significant figures]].
|-
| style="height:20px; width:200px300px; text-align:left;" |'''1. State the known quantities'''
m = 2.3kg
a = 8.8m/s/s
| style="height:20px; width:200px300px; text-align:left;" |'''1. State the known quantities'''
m = 5.5x10<sup>4</sup>kg
a = 61m/s/s
|-
| style="height:20px; width:200px300px; text-align:left;" |'''2. [[Substitute (Maths)|Substitute]] the numbers into the [[equation]] and [[Solve (Maths)|solve]].'''
<math>F=ma</math>
<math>F \approx 20N</math>
| style="height:20px; width:200px300px; text-align:left;" |'''2. [[Substitute (Maths)|Substitute]] the numbers into the [[equation]] and [[Solve (Maths)|solve]].'''
<math>F=ma</math>
|}
====Finding the Acceleration given Mass and Force====
{| class="wikitable"
| style="height:20px; width:200px300px; text-align:center;" |A 7kg [[object]] is subjected to a [[Resultant Force|resultant force]] of 53N. Calculate the [[acceleration]] of the [[object]] correct to two [[Significant Figures|significant figures]].| style="height:20px; width:200px300px; text-align:center;" |A 160g snooker ball experiences a [[Resultant Force|resultant force]] of 12N. Calculate the [[acceleration]] of the snooker ball correct to two [[Significant Figures|significant figures]].
|-
| style="height:20px; width:200px300px; text-align:left;" |'''1. State the known quantities'''
m = 7kg
F = 53N
| style="height:20px; width:200px300px; text-align:left;" |'''1. State the known quantities'''
m = 160g = 0.16kg
F = 12N
|-
| style="height:20px; width:200px300px; text-align:left;" |'''2. [[Substitute (Maths)|Substitute]] the numbers and [[Evaluate (Maths)|evaluate]].'''
<math>F=ma</math>
<math>53=7a</math>
| style="height:20px; width:200px300px; text-align:left;" |'''2. [[Substitute (Maths)|Substitute]] the numbers and [[Evaluate (Maths)|evaluate]].'''
<math>F=ma</math>
<math>12=0.16a</math>
|-
| style="height:20px; width:200px300px; text-align:left;" |'''3. [[Rearrange (Maths)|Rearrange]] the equation and [[Solve (Maths)|solve]].'''
<math>a = \frac{53}{7}</math>
<math>a \approx 7.6m/s/s</math>
| style="height:20px; width:200px300px; text-align:left;" |'''3. [[Rearrange (Maths)|Rearrange]] the equation and [[Solve (Maths)|solve]].'''
<math>a = \frac{12}{0.16}</math>
====Finding the Force given Mass and Acceleration====
{| class="wikitable"
| style="height:20px; width:200px300px; text-align:center;" |A 1.23Mg [[object]] [[accelerate]]s at a rate of 5.3x10<sup>-2</sup>m/s/s. Calculate the [[Resultant Force|resultant force]] acting on the [[object]] correct to two [[Significant Figures|significant figures]].| style="height:20px; width:200px300px; text-align:center;" |A 1.7x10ng cell [[accelerate]]s at a rate of 320m/s/s. Calculate the [[Resultant Force|resultant force]] acting on the rocket correct to two [[Significant Figures|significant figures]].
|-
| style="height:20px; width:200px300px; text-align:left;" |'''1. State the known quantities'''
m = 1.23Mg = 1230kg
a = 5.3x10<sup>-2</sup>m/s/s
| style="height:20px; width:200px300px; text-align:left;" |'''1. State the known quantities'''
m = 1.7ng = 1.7x10<sup>-12</sup>kg
a = 320m/s/s.
|-
| style="height:20px; width:200px300px; text-align:left;" |'''2. [[Substitute (Maths)|Substitute]] the numbers into the [[equation]] and [[Solve (Maths)|solve]].'''
<math>F=ma</math>
<math>F \approx 65N</math>
| style="height:20px; width:200px300px; text-align:left;" |'''2. [[Substitute (Maths)|Substitute]] the numbers into the [[equation]] and [[Solve (Maths)|solve]].'''
<math>F=ma</math>
|}
====Finding the Acceleration given Mass and Force====
{| class="wikitable"
| style="height:20px; width:200px300px; text-align:center;" |A 9.2g [[object]] is subjected to a [[Resultant Force|resultant force]] of 3.7kN. Calculate the [[acceleration]] of the [[object]] correct to two [[Significant Figures|significant figures]].| style="height:20px; width:200px300px; text-align:center;" |A 333 tonne passenger plane experiences a [[Resultant Force|resultant force]] of 1.008MN. Calculate the [[acceleration]] of the passenger plane correct to two [[Significant Figures|significant figures]].
|-
| style="height:20px; width:200px300px; text-align:left;" |'''1. State the known quantities'''
m = 9.2g = 0.0092kg
F = 3.7kN = 3700N
| style="height:20px; width:200px300px; text-align:left;" |'''1. State the known quantities'''
m = 333 tonne = 3.33 x 10<sup>5</sup>kg
F = 1.008MN = 1.008 x 10<sup>6</sup>N
|-
| style="height:20px; width:200px300px; text-align:left;" |'''2. [[Substitute (Maths)|Substitute]] the numbers and [[Evaluate (Maths)|evaluate]].'''
<math>F=ma</math>
<math>3700=0.0092a</math>
| style="height:20px; width:200px300px; text-align:left;" |'''2. [[Substitute (Maths)|Substitute]] the numbers and [[Evaluate (Maths)|evaluate]].'''
<math>F=ma</math>
<math>1.008 \times 10^6 = (3.33 \times 10^5 )a</math>
|-
| style="height:20px; width:200px300px; text-align:left;" |'''3. [[Rearrange (Maths)|Rearrange]] the equation and [[Solve (Maths)|solve]].'''
<math>a = \frac{3700}{0.0092}</math>
<math>a \approx 4.0 \times 10^5m/s/s</math>
| style="height:20px; width:200px300px; text-align:left;" |'''3. [[Rearrange (Maths)|Rearrange]] the equation and [[Solve (Maths)|solve]].'''
<math>a = \frac{1.008 \times 10^6}{3.33 \times 10^5}</math>