Phys101 Term: 122 Online HW-Ch05-Lec02 Q1: Two equal forces act on isolated bodies A and B. The mass of B is two times that of A. The magnitude of the acceleration of A is: A. B. C. D. E. double that of B 1/2 that of B the same as B four times that of B 1/4 that of B Ans: 𝐀 Q2: As shown in the figure, a 25 kg box is pushed across a frictionless horizontal floor with a force F of magnitude 40 N, directed at an angle of 20 degrees below the horizontal. Find the magnitude of the acceleration (in m/s2) of the box. (Give your answer in three significant figures form) Ans: �⃗net = ma�⃗ Newton′ s 2nd Law: F Along x − axis: Fx = ma ⇒ a = Fx m Where Fx = F cos 20 = 40 cos 20 = 37.59 N So: a = 37.59 = 1.50 m/s 2 25 KFUPM-Physics Department 1 Phys101 Term: 122 Online HW-Ch05-Lec02 Q3: In the system shown in the figure, a horizontal force acts on the 8.0 kg object. The horizontal surface is frictionless and the pulley is ideal. Find the magnitude of F (in N) if the 5.0 kg object has a downward acceleration of 1.0 m/s2? (Give your answer in three significant figures form) Ans: From Newton’s 2nd Law; we consider the 2 kg and 5 kg blocks as one object of mass 7 kg. * 8 kg block: F − T = − 8 × a → (1) * 7 kg block: T − 7 × g = − 7 × a → (2) Adding equation (1) and (2) we get: F − 7 × 9.8 = − 8a − 7a F = −15 a + 7 × 9.8 = 53.6 N KFUPM-Physics Department 2
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