An 85-kg clown is fired from rest out of a 480-kg cannon. If the clown's speed is 18 meters per second after the firing, then what is the recoil speed of the cannon? (Round your answer to the nearest tenth.)
m/s

15.29m/s

Explanation:

Using the law of conservation of momentum

m1u1+m2u2 = (m1+m2)v

m1 is the mass of the clown = 85kg

u1 is the velocity of the clown = 0m/s (fired out from rest)

m2 is the mass of the cannon = 480kg

u2 is the velocity of the cannon = 18m/s

Let v me the recoil speed of the cannon

Substitute into the formula

85(0)+480(18) = (85+480)v

0+8640 = 565v

v = 8640/565

v = 15.29m/s

Hence the recoil speed of the cannon is 15.29m/s

Explanation:

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:

find the surface area of the sphere to the nearest square unit. use a calculator.

a. 254 in.2

b. 64 in.2

c. 127 in.2

d. 1,018 in.2