Question1: A clown is riding a unicycle. The weight of the clown plus the unicycle is W = 690 N. The area of contact between the tire and the ground is A = 0.0030 m².

a- Write an expression for the gauge pressure of the tire P, if the tire is inflated just enough to counteract the rider on the unicycle.

b-Solve for the gauge pressure in the tire P in Pa.

Question2: After a party the host pours the remnants of several bottles of wine into a jug. He then inserts a cork with a 2.10-cm diameter into the jug, placing it in direct contact with the wine. He is amazed when he pounds the cork into place that the bottom of the jug, with a 14.6-cm diameter, breaks away.

a-Find the force that the liquid exerts on the bottom of the bottle when the host is pounding the cork with a 124-N force. Ignore the force caused by the weight of the wine.