A4148-kg truck traveling with a velocity of 12 m/s due east collides head-on with a 898-kg car traveling with a velocity of 40 m/s due west. the two vehicles stick together after the collision. determine the momentum of the 4148-kg truck and the 898-kg car prior to the collision.

49776 kgm/s

- 35920 kgm/s

Explanation:

Consider east direction as positive direction of motion and west as negative direction of motion

M = mass of the truck = 4148 kg

V = velocity of the truck in the east direction = 12 m/s

P = Momentum of the truck = ?

Momentum of the truck is given as

P = M V

P = (4148) (12)

P = 49776 kgm/s

m = mass of the car = 898 kg

v = velocity of the car in the west direction = - 40 m/s

p = Momentum of the car = ?

Momentum of the truck is given as

p = m v

p = (898) (- 40)

p = - 35920 kgm/s

the independent variable, the one that is intentionally manipulated, is whether or not the car hits the barrier.

the dependent variable, the one that you measure the response in, is the distance that the washers travel.

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