lab #11

2. What is the relationship (proportionality) between Mass and force? What happens to the force if you double the mass of the blue object? What happens to the force if you then triple the red object’s masses? Force proportional to the mass of the object ࠵?∝࠵? 1 Distance = 4 m: Mass 1 = 200 kg » Mass 2 = 200 kg F1 = 1.60001E-07 M1 x2 = 400 kg » Mass 2 = 200 kg F2 = 3.20001E-07 F2 / F1 ≅ 2 Double mass -> doubles force Mass 1 = 400 kg » Mass 2 = 1200 [M1x3] F3 = 2.4008E-06 [F2 = 4.008E-07 (Q 6)] F3/F2 ≅ 6 THEN triple red -> triples force, so net change is 6 times greater. 3. What is the relationship between distance and the force of gravity? What happens if you triple the distance between the objects? Half the distance between them? Force is inversely related to the square of the distance ࠵?∝ 1/ ࠵? 2 Triple distance -> Force decreases by 9 Distance = 2 m » F1 = 7.73E-07 N x3 = 6 m » F2 = 8.74E-08 N F1/F2 ≅ 9 ; F2/F1 = 1/9 = 1/3^2 Half distance -> 4 time greater force 4. Combine your proportions between Mass 1 ( m 1 ), Mass 2 ( m 2 ) distance ( r ) into a single proportion to the Force of gravity ( F g ). F ∝ M1 × M2 × 1/d^2 F ∝ (M1M2)/d^2 Show your instructor your proportionality before you continue. 5. Does your lab data for m 1 , m 2 , and r does equal F g ? Also work out your units, do they equal a unit of force? The values do not match. Neither do the units. 6. Make a graph of Force vs. your proportionality Fg = (m1*m2)/d^2 Observed (Fg) Experience 1 625 4.1E-08 Experience 1 5625 3.75E-07 Experience 1 11875 7.93E-07 Experience 2 586 3.90E-08 Experience 2 1319 8.74E-08 Experience 2 5278 3.49E-07 Experience 3 25 1.61E-09