Question

Note on homework solutions: In order to receive full credit for homework solutions, your work needs to be presented clearly, neatly, and completely. Answers should have units (when applicable) and be given to no more than three significant figures. 1. A block of mass my = 5.00 kg sits on a frictionless plane inclined at an angle of B = 30° and is connected by a massless, unstretchable cord over a massless, frictionless pulley to a second block of mass m2. A force F, of magnitude 60 N directed up the incline, is applied to mı (shown below). my is moving upward with a constant speed of 10.0 cm/s. (a) Determine m2 and the tension in the cord. (b) If the force F is suddenly removed, determine the magnitude of the acceleration of my and the tension in the cord. 2. Imagine a craft exploring the surface of an uncharted moon. If the engine provides an upward force of 9500 N, the craft accelerates upward (away from the moon's surface) at 0.240 m/s2. If the engine provides an upward force of 5900 N, the craft accelerates downward (toward the moon's surface) at 0.240 m/s2. (a) What is the mass of the landing craft? (b) What is the magnitude of the free-fall acceleration near the surface of the moon? (c) What force (magnitude and direction) would be required from the engine to give the craft a constant upward velocity of 12.0 m/s?

With detailed explanation please.

Answer 1

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since while moving upword the accelerating so all the each other out. reptem is not forces must balance ng ng sing → a TEM2g 1 F = T + mg Sinß T= F - mg sing - Me - 2 2 - 1 1 - - m sun F=60N m = 5kg 8=30 T= 60- 569-8) Sin3o" - 35-5M] m = 60-5605) - 13.6 kg] 9.8 b) 4 of Force Fisemoved the entire system will be accelerated m, a= mag-T a me a= T+ m, a Sink adding both equations (M, thy) a= m₂g+m, g sinß a= mag+m a sinß a= (3-649.8) + 519.6) Sin 30 mitm, 5+3.6 a= 35.5+29.5 = 6.98m/s² 8.6 & T = m, 1g-a) = 3.6(9.8-6.98) = (10.2N]