A crass host pours the remnants of several bottles of wine into a jug after a party. He then inserts a cork with a 2.00-cm diameter into the bottle, placing it in direct contact with the wine. He is amazed when he pounds the cork into place and the bottom of the jug (with a 14.0-cm diameter) breaks away. Calculate the extra force exerted against the bottom if he pounded the cork with a 120-N force.
Step-by-step solution Step 1 of 6 In the hydraulic lift, the pressure is same on the master and the slave cylinder but force changes with the change in cross section area. Step 2 of 6 Since, the Pascal’s principle is applicable for the hydraulic system. Therefore, …… (1) Here, is force applied to master cylinder. is cross sectional area of master cylinder, is force created at each of the slave cylinder, is cross sectional area of slave cylinder. Step 3 of 6 The cork works as master cylinder and jug as slave cylinder. Force applied at cork is, . Cross sectional area of cork is, Here, is radius of cork. Substitute in area equation.