ses100lec6 - • P = ρ gh • P in ocean at 10 m = =...

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1 SES100 Ch. 10 Force Pressure Work Srikanth Saripalli
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2 Force - Chapter 10 What is a force? • Example from common experience - push/pull • Can also have “force at a distance” Examples? Newton’s 1st Law • Objects at rest tend to stay at rest; objects in motion tend to stay in motion 2nd Law • a = F/m 3rd Law • For every action, there is an equal an opposite reaction Example?
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3 Examples of Forces Inertiaal force F = m * a Spring force: F = k * x x is displacement of spring k is spring constant Frictional force: Applied force Frictional force Object doesn’t move until applied force > frictional force
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4 Gravitational Force Force at a distance F = GMm r 2 • G = universal gravitation constant = 6.673 x 10 -11 m 3 /(kg sec 2 ) • M = mass of object 1 • m = mass of object 2 • r = distance between objects Check units… F = mg g = GM Earth _________ R Earth 2
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5 Frictional forces
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6 Pressure Force per unit area • Unit - 1 N/m 2 = 1 Pa (N = kg-m/sec 2 ) Pressure in a fluid increases with depth P = ρ
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Unformatted text preview: • P = ρ gh • P in ocean at 10 m = = 1000.0 kg/m 3 * 9.81 m/sec 2 * 10 m = 9.8*10 4 (kg-m/sec 2 )/m 2 • Pascal’s Law • Pressure in a fluid at a point is constant in all directions • Pressure is NOT the same at all depths! 7 Hydraulic Systems P 1 = ? P 1 = F 1 /A 1 P 2 = F 2 /A 2 P 1 = P 2 = F 1 /A 1 = F 2 /A 2 F 2 = F 1 * A 2 /A 1 Force is multiplied by ratio of areas: F 2 > F 1 A 1 * L 1 = A 2 * L 2 Volumes of fluid displace are equal L 2 = L 1 * A 1 /A 2 L 2 < L 1 P 1 P 2 8 Moment, Torque • Force acting at a distance • Moment of force (M) = d * F • M = Sum of all moments 40 ° 10 cm 20 cm 40 N 80 N 9 Work • Force acting over a distance • Use force to push or raise an object • The farther I have to push it - the more work I had to do • W = Force * distance = F * d • Unit = Joule = 1 N * 1 m = 1 N-m 10 Essential Concepts 1) Conservation of mass 2) Force 3) Pressure 4) Hydraulic systems 5) Moment, torque 6) Work...
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