Force Review Problems 1. Three masSes are connecTed as shown below. 2 kg There is a 10-N fricTion force beTween The Table and The 2-kg block. Find The acceleraTion of The masses and The Tension in The Two ropes. 2' A 3 kg block is placed on a fricTionless surface beTween Two springs. NeiTher spring is sTrained when The block is locaTed oT The posiTion labeled x = 0 in The drawing. k1 = 800 N/m Now The mass is displaced 0.01 m To The righT, causing The lefT-mosT spring To elongaTe and The righT-mosT spring To compress. The sysTern is Then released from resT. (a) WhaT is The direcTion of The force exerTed on The mass from The spring on The lef'l'? JusTify your answer. (b) WhaT is The direcTion of The force exerTed on The mass from The spring on The righT? JusTify your answer. (c) Find The magniTude and direcTion 0f The block's accelera'l'ion. (d) How would your answer To (c) change if boTh springs were on The righT side of The mass? JusTify your answer. 3. You're an asTronauT piloTing your way Through The ouTer reaches of our solar sysTem, on your way To Space STaTion Alpha. DeTermining ThaT micro-meTeoriTe impacTs have caused some damage To your radiaTion shield, you decide To go ouTside The ship To repair The damage. AfTer donning your spacesuiT, your ToTal mass is 100 kg. While repairing The damage, you inadverTenle push The 10,000 kg spaceship To The lefT wiTh force F. During rn/s The push, you aCCeleraTe To The righT wiTh an acceleraTion of 2 s . Assume you are very far away from any planeT in \"graviTy-f ree" space. (b) DeTermine The magniTude and direcTion Of The spaceship's acceleraTion. (c) Your push causes you To lose conTacT wiTh The ship. Describe your moTion afTer ThaT occurs. Be specific. (d) Uh oh. How do you geT back To your spaceship? The only Thing you have aT your disposal is a box full of wrenches. WhaT should you do wiTh Them and why