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Forces on an inclined Plane. DN/RKS. kg, m, s Equations: Linear: Y=3x + 2 Quadratic: y= 2x 2 + 5x + 2 Exponential: y = 4 x Inverse: y = 2/x 3) (a) +4 m/s ( d) -3 m/s 2. 4) Distance, Displacement: 6m, 3 m east 15 m, 13 m approximately northeast 10 m, 6 m south
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kg, m, s • Equations: • Linear: Y=3x + 2 • Quadratic: y= 2x2 + 5x + 2 • Exponential: y = 4x • Inverse: y = 2/x 3) (a) +4 m/s (d) -3 m/s2
4) Distance, Displacement: • 6m, 3 m east • 15 m, 13 m approximately northeast • 10 m, 6 m south 5) Speed, Velocity • 3 m/s, 1.5 m/s east • 7.5 m/s, 6.5 m/s approximately east • 5m/s, 3m/s south
Units of velocity? m/s • Units of acceleration? m/s2 • Units of force? N or mkg/s2 • Units of distance? m • Formula for average acceleration? Change in velocity/time • Formula for average velocity? Change in displacement/time • Formula for average speed? Change in distance/time • What is the constant acceleration of gravity on earth? -10m/s2 • One type of field force? gravity • Three trig function ratios? Sin = O/H Cos = A/H Tan = O/A
Quick Refresh • What is the acceleration of a 5.0kg box on a frictionless surface with an applied force of 8 N?
Quick Refresh • What is the normal force if a 5.0kg box is resting on a table?
Notes: • What is an inclined plane? • A flat surface that makes an angle with the horizontal
Notes • How will I find the normal force on an inclined plane? • Draw free body diagarm • Normal force is PERPENDICULAR to surface! • Find force perpendicular to surface (usually just gravity) • Fnormal=-Fperpendicular
Notes • How will I find the acceleration of an object on an inclined plane? • Draw free body diagarm • Acceleration will be parallel to surface! • Find forces parallel to surface • F parallel = maparallel
What is the acceleration and the normal force of a 4.0 kg box on a frictionless surface at a 30⁰ angle?