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- 2. Exercises (3,472 bytes)
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5: {{Selected tab|[[2. Exercises|Exercises]]}}
12: A man, of mass 75 kg, stands on a horizontal surface. Assume that t...
44: a) A car of mass 1250 kg.
54: ===Exercise 2.5=== - 3. Exercises (5,734 bytes)
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5: {{Selected tab|[[3. Exercises|Exercises]]}}
20: A particle of mass 2.5 kg is hanging, in equilibrium from a spring. Calc...
46: ===Exercise 3.5===
57: ...5c|Solution b|Solution 3.5b|Solution c|Solution 3.5c}} - 4. Exercises (4,452 bytes)
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5: {{Selected tab|[[4. Exercises|Exercises]]}}
64: ===Exercise 4.5===
82: (<math>-5\mathbf{i}-7\mathbf{j}</math>
86: ...5b|Solution c|Solution 4.5c|Solution d|Solution 4.5d}} - 5. Exercises (4,879 bytes)
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4: {{Not selected tab|[[5. Forces and equilibrium|Theory]]}}
5: {{Selected tab|[[5. Exercises|Exercises]]}}
6: {{Not selected tab|[[5. Video|Video]]}}
10: ===Exercise 5.1=== - 6. Exercises (5,072 bytes)
3: | style="border-bottom:1px solid #797979" width="5px" |
5: {{Selected tab|[[6. Exercises|Exercises]]}}
55: ...from 5 <math>\text{m}{{\text{s}}^{-1}}</math> to 15 <math>\text{m}{{\text{s}}^{-1}}</math>. Assume t...
65: ===Exercise 6.5===
68: A cyclist accelerates at 0.5 <math>\text{m}{{\text{s}}^{-2}}</math> from rest ... - 7. Exercises (3,029 bytes)
3: | style="border-bottom:1px solid #797979" width="5px" |
5: {{Selected tab|[[7. Exercises|Exercises]]}}
15: <math>\mathbf{r}=6t\mathbf{i}+\left( 15t-4\textrm{.}9{{t}^{2}} \right)\mathbf{j}</math>
49: <math>0\le t\le </math>4.5
51: ''t''=4.5? - 8. Exercises (8,050 bytes)
3: | style="border-bottom:1px solid #797979" width="5px" |
5: {{Selected tab|[[8. Exercises|Exercises]]}}
14: ...and its initial position is (<math>400\mathbf{i}+350\mathbf{j}</math>) m. The unit vectors are direct...
29: ...ed plane. The initial velocity of the particle is 5<math>\mathbf{i}</math> <math>\text{m}{{\text{s}}^...
62: ===Exercise 8.5=== - 9. Exercises (2,456 bytes)
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5: {{Selected tab|[[9. Exercises|Exercises]]}}
44: ===Exercise 9.5===
47: ...ent of friction between skier and the slope is 0.05. Find the magnitude of the air resistance force a...
49: ...#NAVCONTENT:Answer|Answer 9.5|Solution|Solution 9.5}} - 10. Exercises (2,954 bytes)
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5: {{Selected tab|[[10. Exercises|Exercises]]}}
27: 50 <math>\text{m}{{\text{s}}^{-1}}</math> to rest i...
36: A particle of mass 5 kg slides down a smooth plane, inclined at an ang...
44: ...he resultant force on the particle has magnitude 15 N. Find the time taken to reach a speed of 10 <ma... - 11. Exercises (1,991 bytes)
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5: {{Selected tab|[[11. Exercises|Exercises]]}}
46: A concrete block, of mass 5 kg, is placed in a bucket of mass 1 kg. A rope is...
59: ===Exercise 11.5===
69: </div>{{#NAVCONTENT:Answer |Answer 11.5}} - 13. Exercises (1,182 bytes)
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5: {{Selected tab|[[13. Exercises|Exercises]]}}
32: A lever, of length 1.5 m, is pivoted at one end. A force of magnitude 80... - 14. Exercises (3,793 bytes)
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5: {{Selected tab|[[14. Exercises|Exercises]]}}
43: ... placed at a point on the beam at a distance of 2.5 m from one end. Find the magnitude of the reactio...
70: ===Exercise 14.5===
81: ...|Solution a|Solution 14.5a|Solution b|Solution 14.5b}} - 15. Exercises (5,088 bytes)
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4: {{Not selected tab|[[15. Momentum and impulse|Theory]]}}
5: {{Selected tab|[[15. Exercises|Exercises]]}}
9: ===Exercise 15.1===
21: ...1a|Solution b|Solution 15.1b|Solution c|Solution 15.1c}} - 16. Exercises (5,467 bytes)
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5: {{Selected tab|[[16. Exercises|Exercises]]}}
35: ... 3kg mass is brought to rest. What happens to the 5kg mass ?
52: ===Exercise 16.5===
55: ...y collide. One has mass 2kg and was travelling at 5 <math>\text{m}{{\text{s}}^{-1}}</math> before the... - 17. Exercises (4,927 bytes)
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5: {{Selected tab|[[17. Exercises|Exercises]]}}
24: ...ate the kinetic energy of a ball, which has mass 250 grams, and which is travelling at 9 <math>\text...
33: A ball, of mass 0.125 kg, is thrown so that its initial speed is
57: ===Exercise 17.5=== - 18. Exercises (6,749 bytes)
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5: {{Selected tab|[[18. Exercises|Exercises]]}}
43: <math>s=5{{t}^{2}}-6t</math>.
62: <math>s=\frac{3{{t}^{2}}}{50}-\frac{{{t}^{3}}}{250}</math>
100: ===Exercise 18.5=== - 19. Exercises (6,277 bytes)
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5: {{Selected tab|[[19. Exercises|Exercises]]}}
18: <math>a=1-\frac{t}{15}</math>
20: <math>0\le t\le 15</math>.
26: b) What is the speed of the cyclist after 15 seconds? - 20. Exercises (2,958 bytes)
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5: {{Selected tab|[[20. Exercises|Exercises]]}}
14: ...al table by a light inextensible string of length 50 cm. The particle travels in a circle on the tabl...
31: A car, of mass 1 tonne, takes a bend, of radius 50 m, on a level road, at 60 km/h, without sliding....
40: ... turntable which rotates at 30 r.p.m. The coin is 5 cm from the centre of rotation. The coefficient o...
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- 2. Introduction to force and gravity (4,624 bytes)
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5: {{Not selected tab|[[2. Exercises|Exercises]]}}
33: {| width="500px" cellspacing="10px"
44: {| width="500px" cellspacing="10px"
71: <math>\text{5}\textrm{.}\text{98}\times \text{1}0^{\text{24}}\t... - 3. Other types of force (5,193 bytes)
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6: {{Not selected tab|[[3. Exercises|Exercises]]}}
43: ... coefficient of friction between a crate, of mass 50 kg, and the floor is 0.7. Find the magnitude of ...
97: In this case there is a resultant force of 57 N to the right.
168: ...ace as shown in the diagram. The top box has mass 5 kg and the lower box has mass - 4. Forces and vectors (4,578 bytes)
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5: {{Not selected tab|[[4. Exercises|Exercises]]}}
112: <math>-50\cos 44{}^\circ \mathbf{i}-50\sin 44{}^\circ \mathbf{j}\ \text{N}</math>
137: '''[[Example 4.5]]'''
141: [[Image:TF4.5.GIF]] - 2. Exercises (3,472 bytes)
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5: {{Selected tab|[[2. Exercises|Exercises]]}}
12: A man, of mass 75 kg, stands on a horizontal surface. Assume that t...
44: a) A car of mass 1250 kg.
54: ===Exercise 2.5=== - 5. Forces and equilibrium (5,636 bytes)
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4: {{Selected tab|[[5. Forces and equilibrium|Theory]]}}
5: {{Not selected tab|[[5. Exercises|Exercises]]}}
6: {{Not selected tab|[[5. Video|Video]]}}
24: '''[[Example 5.1]]''' - 6. Kinematics in one dimension (6,592 bytes)
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5: {{Not selected tab|[[6. Exercises|Exercises]]}}
83: <math>a=\frac{6}{8}=0\textrm{.}75\text{ m}{{\text{s}}^{\text{-2}}}</math>
96: ...\displaystyle \text{m}{{\text{s}}^{-1}}</math> in 50 seconds.
109: <math>v=35</math> - 7. Position Vectors (4,271 bytes)
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5: {{Not selected tab|[[7. Exercises|Exercises]]}}
70: ..._{B}}=(6\times 1-{{1}^{2}})\mathbf{i}+1\mathbf{j}=5\mathbf{i}+1\mathbf{j}</math>
97: <math>\mathbf{r}=(9t-180)\mathbf{i}+(5t-450)\mathbf{j}</math>
116: & 5t-450=0 \\ - 8. Constant acceleration equations in vector form (8,382 bytes)
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5: {{Not selected tab|[[8. Exercises|Exercises]]}}
41: - 5
55: <math>\mathbf{v}=6\mathbf{i}-5\mathbf{j}</math>
65: & 6\mathbf{i}-5\mathbf{j}=8\mathbf{i}+12\mathbf{j}+20\mathbf{a} \... - 9. Newton’s first law (2,611 bytes)
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5: {{Not selected tab|[[9. Exercises|Exercises]]}}
46: A cyclist, of mass 75 kg, freewheels down a slope inclined at to the ...
61: <math>P=735\sin 6{}^\circ =76\textrm{.}8\text{ N}</math>
81: <math>R=588\cos 30{}^\circ </math> - 10. Newton’s second law (5,608 bytes)
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5: {{Not selected tab|[[10. Exercises|Exercises]]}}
39: b) it accelerates downwards at 0.05
73: <math>a=-0\textrm{.}05</math>
76: <math>T=2940+300\times (-0\textrm{.}05)=2925\text{ N}</math> - 11. Newton’s third law (1,707 bytes)
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5: {{Not selected tab|[[11. Exercises|Exercises]]}} - 3. Exercises (5,734 bytes)
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5: {{Selected tab|[[3. Exercises|Exercises]]}}
20: A particle of mass 2.5 kg is hanging, in equilibrium from a spring. Calc...
46: ===Exercise 3.5===
57: ...5c|Solution b|Solution 3.5b|Solution c|Solution 3.5c}} - 4. Exercises (4,452 bytes)
3: | style="border-bottom:1px solid #797979" width="5px" |
5: {{Selected tab|[[4. Exercises|Exercises]]}}
64: ===Exercise 4.5===
82: (<math>-5\mathbf{i}-7\mathbf{j}</math>
86: ...5b|Solution c|Solution 4.5c|Solution d|Solution 4.5d}} - 5. Exercises (4,879 bytes)
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4: {{Not selected tab|[[5. Forces and equilibrium|Theory]]}}
5: {{Selected tab|[[5. Exercises|Exercises]]}}
6: {{Not selected tab|[[5. Video|Video]]}}
10: ===Exercise 5.1=== - 6. Exercises (5,072 bytes)
3: | style="border-bottom:1px solid #797979" width="5px" |
5: {{Selected tab|[[6. Exercises|Exercises]]}}
55: ...from 5 <math>\text{m}{{\text{s}}^{-1}}</math> to 15 <math>\text{m}{{\text{s}}^{-1}}</math>. Assume t...
65: ===Exercise 6.5===
68: A cyclist accelerates at 0.5 <math>\text{m}{{\text{s}}^{-2}}</math> from rest ... - 7. Exercises (3,029 bytes)
3: | style="border-bottom:1px solid #797979" width="5px" |
5: {{Selected tab|[[7. Exercises|Exercises]]}}
15: <math>\mathbf{r}=6t\mathbf{i}+\left( 15t-4\textrm{.}9{{t}^{2}} \right)\mathbf{j}</math>
49: <math>0\le t\le </math>4.5
51: ''t''=4.5? - 8. Exercises (8,050 bytes)
3: | style="border-bottom:1px solid #797979" width="5px" |
5: {{Selected tab|[[8. Exercises|Exercises]]}}
14: ...and its initial position is (<math>400\mathbf{i}+350\mathbf{j}</math>) m. The unit vectors are direct...
29: ...ed plane. The initial velocity of the particle is 5<math>\mathbf{i}</math> <math>\text{m}{{\text{s}}^...
62: ===Exercise 8.5=== - 9. Exercises (2,456 bytes)
3: | style="border-bottom:1px solid #797979" width="5px" |
5: {{Selected tab|[[9. Exercises|Exercises]]}}
44: ===Exercise 9.5===
47: ...ent of friction between skier and the slope is 0.05. Find the magnitude of the air resistance force a...
49: ...#NAVCONTENT:Answer|Answer 9.5|Solution|Solution 9.5}} - 10. Exercises (2,954 bytes)
3: | style="border-bottom:1px solid #797979" width="5px" |
5: {{Selected tab|[[10. Exercises|Exercises]]}}
27: 50 <math>\text{m}{{\text{s}}^{-1}}</math> to rest i...
36: A particle of mass 5 kg slides down a smooth plane, inclined at an ang...
44: ...he resultant force on the particle has magnitude 15 N. Find the time taken to reach a speed of 10 <ma... - 11. Exercises (1,991 bytes)
3: | style="border-bottom:1px solid #797979" width="5px" |
5: {{Selected tab|[[11. Exercises|Exercises]]}}
46: A concrete block, of mass 5 kg, is placed in a bucket of mass 1 kg. A rope is...
59: ===Exercise 11.5===
69: </div>{{#NAVCONTENT:Answer |Answer 11.5}}
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