6. Intro to Forces (Dynamics)

Newton's First & Second Laws

Newton's First Law of Motion: Mass and Inertia

A hockey puck with mass 0.160 kg is at rest at the origin (x = 0) on the horizontal, frictionless surface of the rink. At time t = 0 a player applies a force of 0.250 N to the puck, parallel to the x-axis; she continues to apply this force until t = 2.00s. (b) If the same force is again applied at t = 5.00 s, what are the position and speed of the puck at t = 7.00 s?

A <math display="inline"><mrow><mn>100</mn><mo rspace="thickmathspace">&#x2062;</mo><mi mathvariant="normal" class="MathML-Unit">kg</mi></mrow></math> rock is in space, far from any planets, stars or black holes. It is moving in a straight line at a constant <math display="inline"><mrow><mn>10,000</mn><mo rspace="thickmathspace">&#x2062;</mo><mrow><mi mathvariant="normal" class="MathML-Unit">m</mi><mo>/</mo><mi mathvariant="normal" class="MathML-Unit">s</mi></mrow></mrow></math> relative to our sun. What total force is required to keep it moving that fast?

A box rests on a frozen pond, which serves as a frictionless horizontal surface. If a fisherman applies a horizontal force with magnitude 48.0 N to the box and produces an acceleration of magnitude 2.20 m/s2, what is the mass of the box?

Anderson Video - Newton's Second Law

To extricate an SUV stuck in the mud, workmen use three horizontal ropes, producing the force vectors shown in Fig. E4.2. (a) Find the x- and y-components of each of the three pulls. <img src="https://lightcat-files.s3.amazonaws.com/problem_images/3fd171901f945db4-1670595590241.jpg" alt="" /><img class="fr-dib" src="https://lightcat-files.s3.amazonaws.com/problem_images/76ef1cbc2b783ee2-1678205310874.jpg" style="width: 234px;">

Due to a jaw injury, a patient must wear a strap (Fig. E4.3) that produces a net upward force of 5.00 N on his chin. The tension is the same throughout the strap. To what tension must the strap be adjusted to provide the necessary upward force? <img src="https://lightcat-files.s3.amazonaws.com/problem_images/452aabf762c91a64-face.png" alt="" /><img class="fr-dib" src="https://lightcat-files.s3.amazonaws.com/problem_images/4d29d29485f69eb9-1678205390503.jpg" style="width: 219px;">

When jumping straight up from a crouched position, an average person can reach a maximum height of about 60 cm. During the jump, the person’s body from the knees up typically rises a distance of around 50 cm. To keep the calculations simple and yet get a reasonable result, assume that the entire body rises this much during the jump. (b) Draw a free-body diagram of the person during the jump.

Newton's 1st Law

Anderson Video - How Many Rubber Bands

A 4.50-kg experimental cart undergoes an acceleration in a straight line (the x-axis). The graph in Fig. E4.13 shows this acceleration as a function of time. (b) During what times is the net force on the cart a constant? <img src="https://lightcat-files.s3.amazonaws.com/problem_images/d90c9e025b7245b5-1670440995402.jpg" alt="" /><img class="fr-dib" src="https://lightcat-files.s3.amazonaws.com/problem_images/ed8786a458188026-1678205491597.jpg" style="width: 292px;">

Newton's Three Laws of Motion (Clear and Easy to Follow)

A dockworker applies a constant horizontal force of 80.0 N to a block of ice on a smooth horizontal floor. The frictional force is negligible. The block starts from rest and moves 11.0 m in 5.00 s. (a) What is the mass of the block of ice?

A small 8.00-kg rocket burns fuel that exerts a time-varying upward force on the rocket (assume constant mass) as the rocket moves upward from the launch pad. This force obeys the equation F = A + Bt2. Measurements show that at t = 0, the force is 100.0 N, and at the end of the first 2.00 s, it is 150.0 N. (a) Find the constants A and B, including their SI units

On September 8, 2004, the Genesis spacecraft crashed in the Utah desert because its parachute did not open. The 210-kg capsule hit the ground at 311 km/h and penetrated the soil to a depth of 81.0 cm. (a) What was its acceleration (in m/s2 and in g’s), assumed to be constant, during the crash?

The box will accelerate for a time, eventually reaching a large constant speed.

A <math display="inline"><mrow><mn>10</mn><mo rspace="thickmathspace">&#x2062;</mo><mi mathvariant="normal" class="MathML-Unit">N</mi></mrow></math> horizontal force is applied to a <math display="inline"><mrow><mn>10</mn><mo rspace="thickmathspace">&#x2062;</mo><mi mathvariant="normal" class="MathML-Unit">kg</mi></mrow></math> box causing it to speed up. The force of kinetic friction is <math display="inline"><mrow><mn>5</mn><mo rspace="thickmathspace">&#x2062;</mo><mi mathvariant="normal" class="MathML-Unit">N</mi></mrow></math>. Which choice best describes the subsequent motion of the box?

A 4.50-kg experimental cart undergoes an acceleration in a straight line (the x-axis). The graph in Fig. E4.13 shows this acceleration as a function of time. (a) Find the maximum net force on this cart. When does this maximum force occur? <img src="https://lightcat-files.s3.amazonaws.com/problem_images/eef381d40f82d214-1670441154732.jpg" alt="" /><img class="fr-dib" src="https://lightcat-files.s3.amazonaws.com/problem_images/ce977deef36f8863-1678205493665.jpg" style="width: 293px;">

An astronaut is inside a 2.25 × 106 kg rocket that is blasting off vertically from the launch pad. You want this rocket to reach the speed of sound (331 m/s) as quickly as possible, but astronauts are in danger of blacking out at an acceleration greater than 4g. (a) What is the maximum initial thrust this rocket’s engines can have but just barely avoid blackout? Start with a free-body diagram of the rocket.

Newton's 2nd Law

On September 8, 2004, the Genesis spacecraft crashed in the Utah desert because its parachute did not open. The 210-kg capsule hit the ground at 311 km/h and penetrated the soil to a depth of 81.0 cm. (b) What force did the ground exert on the capsule during the crash? Express the force in newtons and as a multiple of the capsule’s weight.

Newton's First & Second Law Part 1 physics lesson

Newton's First & Second Law Part 3 physics lesson

Newton's Second Law of Motion: F = ma

If a car stops suddenly, you feel “thrown forward.” We’d like to understand what happens to the passengers as a car stops. Imagine yourself sitting on a very slippery bench inside a car. This bench has no friction, no seat back, and there’s nothing for you to hold onto.

d. Describe what happens to you as the car slows down.

To extricate an SUV stuck in the mud, workmen use three horizontal ropes, producing the force vectors shown in Fig. E4.2. (b) Use the components to find the magnitude and direction of the resultant of the three pulls. <img src="https://lightcat-files.s3.amazonaws.com/problem_images/0ce0af9a2562ce7d-1670596112619.jpg" alt="" /><img class="fr-dib" src="https://lightcat-files.s3.amazonaws.com/problem_images/64302a84bc8335a8-1678205308858.jpg" style="width: 227px;">

Anderson Video - Newton's First Law

The force of the cable is greater than the weight.

The force of the cable is less than the weight.

There is not enough information to answer this question.

The force of the cable is equal to the weight.

An elevator is going up at a constant speed in a very tall building. Assume the only forces acting on the elevator are a downward weight force and the force of a cable pulling the elevator up. Ignore air resistance and friction.  How does the magnitude of the weight force compare to the magnitude of the force of the cable?

Newton's First & Second Law Part 2 physics lesson

Two dogs pull horizontally on ropes attached to a post; the angle between the ropes is 60.0°. If Rover exerts a force of 270 N and Fido exerts a force of 300 N, find the magnitude of the resultant force and the angle it makes with Rover’s rope.

Solving for Forces Using Newton's Second Law

What is the acceleration, as a multiple of g, if this force is applied to a 110 kg bicyclist? This is the combined mass of the cyclist and the bike.

A light rope is attached to a block with mass 4.00 kg that rests on a frictionless, horizontal surface. The horizontal rope passes over a frictionless, massless pulley, and a block with mass m is suspended from the other end. When the blocks are released, the tension in the rope is 15.0 N. (a) Draw two free-body diagrams: one for each block. <img src="https://lightcat-files.s3.amazonaws.com/problem_images/21cd703062ce5737-1670508669305.jpg" alt="" />

Newton's Second Law | Physics with Professor Matt Anderson | M5-05

Newton's First Law | Physics with Professor Matt Anderson | M5-04

Anderson Video - Double the Force What's the Acceleration

An astronaut is inside a 2.25 × 106 kg rocket that is blasting off vertically from the launch pad. You want this rocket to reach the speed of sound (331 m/s) as quickly as possible, but astronauts are in danger of blacking out at an acceleration greater than 4g. (b) What force, in terms of the astronaut’s weight w, does the rocket exert on her? Start with a free-body diagram of the astronaut.

Intro to Forces & Newton's Second Law

A hockey puck with mass 0.160 kg is at rest at the origin (x = 0) on the horizontal, frictionless surface of the rink. At time t = 0 a player applies a force of 0.250 N to the puck, parallel to the x-axis; she continues to apply this force until t = 2.00s. (a) What are the position and speed of the puck at t = 2.00 s?

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Physics with Professor Matt Anderson

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1. Intro to Physics Units

2. 1D Motion / Kinematics

3. Vectors

4. 2D Kinematics

5. Projectile Motion

7. Friction, Inclines, Systems

8. Centripetal Forces & Gravitation

9. Work & Energy

10. Conservation of Energy

11. Momentum & Impulse

12. Rotational Kinematics

13. Rotational Inertia & Energy

14. Torque & Rotational Dynamics

15. Rotational Equilibrium

16. Angular Momentum

17. Periodic Motion

18. Waves & Sound

19. Fluid Mechanics

20. Heat and Temperature

21. Kinetic Theory of Ideal Gases

22. The First Law of Thermodynamics

23. The Second Law of Thermodynamics

24. Electric Force & Field; Gauss' Law

25. Electric Potential

26. Capacitors & Dielectrics

27. Resistors & DC Circuits

28. Magnetic Fields and Forces

29. Sources of Magnetic Field

30. Induction and Inductance

31. Alternating Current

32. Electromagnetic Waves

33. Geometric Optics

34. Wave Optics

36. Special Relativity

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Vertical Forces & Acceleration

Newton's Third Law & Action-Reaction Pairs

Forces in 2D

Forces in Connected Systems of Objects

Equilibrium in 2D

Types Of Forces & Free Body Diagrams

Vertical Equilibrium & The Normal Force

Forces & Kinematics

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