Bank robbers have pushed a 1000 safe to a second-story floor-to-ceiling window. they plan to break the window, then lower the safe 3.0 m to their truck. they stack up 500 of furniture, tie a rope between the safe and the furniture, and place the rope over a pulley that is frictionless and massless. they then push the safe out of the window. what is the safe’s speed when it hits the truck if it was initially at rest after being pushed out of the window? the coefficient of kinetic friction between the furniture and the floor is 0.50

Explanation:

For the locker which is lowered down the force equation is given as

for the furniture which is moving on the floor we have

also we know that

now we will have

from above two equations we have

now plug in all values in it

Now the speed of the locker when it falls by distance d = 3 m

jupiter is the largest planet in our solar system, having a mass and radius that are respectively, 318 and 11.2 times that of earth. suppose that an object falls from rest near the surface of each planet and that the acceleration due to gravity remains constant during the fall. each object falls the same distance before striking the ground. determine the ratio of the time of fall on jupiter to that on earth.

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