If It took 40 Seconds for a vehicle of weight 40,000 Newton to move round a 7 metres, What time will it achieve same feat for another circular path Of radius 21 metres given the Condition of the vehicle remains the same.

  t = 376.99 s

Explanation:

We must solve this problem with the equations and kinematics, let's start by looking for the speed of the vehicle,

         v = d / t

         v = 7/40

         v = 0.175 m / s

Since the speed e remains constant, we must find the length of the circle is

          L = 2π r

          L = 2π 21

          L = 131.95 m

In the problem it does not specify clearly, but in general the curves of the road correspond to half a circle, so the length of the road is

         L ’= L / 2

         L ’= 131.95 / 2 = 65.97 m

as the speed is constant

          t = L ’/ v

          t = 65.97 / 0.175

          t = 376.99 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

increases it