A 250-n force is directed horizontally as shown to push a 29-kg box up an inclined plane at a constant speed. Determine the magnitude of the normal force

246.38N

Explanation:

Check the complete question in the attached diagram

The normal force acting on the body on an inclined is equal to the weight of the object as shown;

Weight = Normal force = mgcosθ

m is the mass of the box = 29kg

g is the acceleration due to gravity = 9.81m/s²

θ is the angle of inclination = 30°

N = 29 * 9.81 * cos 30°

N = 284.49cos30°

N = 246.38N

Hence the magnitude of the normal force is 246.38N

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