A 4.20 gg coin is placed 15.0 cmcm from the center of a turntable. The coin has static and kinetic coefficients of friction with the turntable surface of μsμsmu_s = 0.700 and μkμkmu_k = 0.420. Part A What is the maximum angular velocity with which the turntable can spin without the coin sliding?

Explanation:

mass of the coin m = 4.2 x 10⁻³ kg

radius of circular path r in which coin will move = 15 x 10⁻² m

coefficient of static friction μs = .7

at maximum angular velocity of ω , limiting force of friction will provide centripetal force to coin to rotate in circular path .

so centripetal force = frictional force

mω²r = μs x mg

ω²r = μs x g

ω² = μs x g / r

= .7 x 9.8 /  15 x 10⁻²

= 45.73

ω = 6.76 radian / s.

emily ruth's annual premium is $1058.50

step-by-step explanation:

emily ruth is a female of 27 years age purchasing 20 year endowment insurance with face value $25000.

from the given table,

for females, the age of a male 3 years younger should be used.

so, we have to check for 24 year male for 20 year endowment.

it is 42.34 for every $1000 face value.

for a face value of $25000,

it is 25 * 42.34 = $1058.50

∴ emily ruth's annual premium is $1058.50

c. 7/3

step-by-step explanation:

a rational number is like pi- it is a repeating decimal.

a. is -1.8

b. 2.236068

c. 2.3333333333333333333

d.   is 3

i hope that ! =)