An automobile to be transported by ship is raised 7.0 m above the dock. If its gravitational potential energy is 66,000 J, what is the automobile’s mass

The mass of the automobile to be transported by ship is 962.1kg.

Given the data in the question;

Mass of automobile;

The gravitational potential energy any object at a given height on Earth is expressed as:

Where m is mass of the object, h is height and g is acceleration due to gravity ( )

We substitute our given values into the equation

Therefore, the mass of the automobile to be transported by ship is 962.1kg.

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Explanation:

Gravitational Potential Energy

It's the energy stored in an object because of its vertical position or height in a gravitational field.

It can be calculated with the equation:

U=m.g.h

Where:

m = mass of the object

h  = height with respect to a fixed reference

g  = acceleration of gravity, usually taken as .

The automobile of unknown mass is raised to a height of h=7 m above the dock, assumed as a reference. The automobile has gravitational potential energy of U=66,000 J.

Let's calculate the mass by solving for m:

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

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