Answers to homework problems: Chapter 4. 3) No. Object has same mass on Earth and on the Moon therefore it has same inertia. 18) F = m*a --> m = F/a = 200 N/0.75 (m/s^2)=266.67 kg weight = m*g = 266.67 kg*9.8 (m/s^2)=2613.3 N 19) F = m*a = 70000000 kg*0.1 m/s^2=7*10^6 N 30) F = m*a . The acceleration a = change of velocity/time = (90-0)km/h / 4.5 s = 90,000m/3600s/4.5s = 5.56 m/s^2. F = 60 kg * 5.56 m/s^2 = 333.33 N 43) assume a pointing down on the left side (if assumption is wrong I'll get a negative sign in the solution). There are two string tension forces - T1 acting between m1 and m3 and T2 acting between m3 and m2. Newton's law for m1: m1*g - T1 = m1*a Newton's law for m2: m2*g - T2 = - m2*a Newton's law for m3: T1 - T2 = m3*a solution --> a = (m1 - m2)/(m1+m2+m3) * g a) a = -0.25 g = -2.45 m/s^2 b) a = 0,2 g = 1.96 m/s^2 48) a) 70 kg * 9.8 m/s^2 = 686 N b) 70 kg * (9.8 + 0.525) m/s^2 = 723 N c) 70 kg * (9.8 - 0.525) m/s^2 = 649 N 53) Forces acting on different objects cannot cancel 59) Lets consider the bullet first: The velocity equation: v^2 = v0^2 + 2 * a * x ---> acceleration a = (v^2 - v_0^2)/(2*x) since initial velocity v0 = 0 then a = v^2/(2*x)= (300m/s)^2/(2*0.75m) a = 60 000 m/s^2 The force on a bullet is F = m*a = 0.025 kg * 60 000 m/s^2 = 1500 N The force on the rifle has the same magnitude.