Ahost pours the remnants of several bottles of wine into a jug after a party. he then inserts a cork with a 2.30 cm diameter into the bottle, placing it in direct contact with the wine. the host is amazed when he pounds the cork into place and the bottom of the jug (with a 13.0 cm diameter) breaks away. calculate the extra force (in n) exerted against the bottom if he pounded the cork with a 120 n force.

3.88 N

Explanation:

From the question we have the following:

cork diameter (D1) = 2.3 cm = 0.023 m

bottom diameter (D2) = 13 cm = 0.13 m

force on the cork (F1) = 120 N

force at the bottom (F2) = ?

we can get the force at the bottom by applying the formula below

=

therefore

F2 =  × A2

where A1 and A2 are the areas of the cork and bottom respectively

A1 = π× = π× = 0.00042

A2 = π× = π× =  0.013

now substituting all values into F2 =  × A2

F2 =  × 0.013

F2 = 3.88 N

the answer is to check all of them! they all apply well at least i think so!

a solenoid is created by wrapping a l = 90 m long wire around a hollow tube of diameter d = 4.5 cm.   the wire diameter is d = 0.9 mm.   the solenoid wire is then connected to a power supply so that a current of i = 9 a flows through the wire.

randomized variablesl = 90 m

d = 4.5 cm

d = 0.9 mm

i = 9 a                                          

write an expression for the number of turns, n, in the solenoid. you do not need to take into account the diameter of the wire in this calculation.

calculate the number of turns, n, in the solenoid.

write an expression for the length of the solenoid (l2) in terms of the diameter of the hollow tube d.

calculate the length of the solenoid (l2)   in meters.

calculate the magnitude of the magnetic field at the center of the solenoid in teslas.

explanation: