Vehicle crumple zones are designed to absorb energy during an impact by deforming to reduce energy transfer to the occupants. How much kinetic energy, in Btu, must a crumple zone absorb to fully protect occupants in a 3000-lbm vehicle that suddenly decelerates from 10 mph to 0 mph?

change in KE = -12.95 Btu

Explanation:

given data

mass = 3000-lbm

velocity of vehicle initial vi = 10 mph = 14ft/s

velocity of vehicle final vf = 0 mph = 0 ft/s

solution

as here for crumple zone to protected zone it will absorb kinetic energy

so change in KE is related here initial and final velocity that is

change in KE = 0.5 × m × (vf² - vi² ) .................1

put here value and we get

change in KE = 0.5 × 3000 × (0² - 14.7² )

change in KE = -324135 × *  

change in KE = -12.95 Btu

we need answer choices

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