Water with a density of 62.3 lb/ft3 completely fills an 80-ft3 vessel. if the local acceleration of gravity is 32.08 ft/s2, determine the weight of the water, in lbf.

4969.44 lbf

Explanation:

given,

Density of the water = 62.3 lb/ft³

volume of the vessel = 80 ft³

acceleration of gravity = 32.08 ft/s²

weight of the water = ?

we know,

mass = density x volume

m = 62.3 x 80

m = 4984 lb

weight of the water

W = m g

W = 4984 x 32.08

W = 159886.72 lbm. ft/s²

1 lbf = 32.174  lbm. ft/s²

W = 4969.44 lbf

the weight of the water =  4969.44 lbf

the minimum constant speed at which she can catch the train is 2.7 m/s

given:

acceleration = 0.6

time = 4.5 s

to find:

velocity = ?

formula used:

from 1st kinematic equation we get,

v = u + at

u = initial speed of train = 0 m/s

v = final speed of the train

a = acceleration of the train

t = time

solution:

from 1st kinematic equation we get,

v = u + at

u = initial speed of train = 0 m/s

v = final speed of the train

a = acceleration of the train

t = time

v = 0 + (0.6 × 4.5)

v = 2.7 m/s

the minimum constant speed at which she can catch the train is 2.7 m/s

causes

fossil fuels burn

cities become more industrialized

human population grows worldwide