A baby stroller is a rest on top of a hill which is 10 m high. The stroller and baby have a mass of 20 kg. What is the potential
1 answer:
The potential energy is defined as the energy is contained in the body due to the height over the surface of the earth and it is calculated from the equation
<em>where:</em>
- PE: the potential energy in Joules.
- m: the mass of the body in kg.
- g: the acceleration due to the gravity in m/
- h: the height of the body over the earth in meters.
<em>in our problem:</em>
You might be interested in
To make your formula neater:
Acceleration is equal to
,
so when you multiply it by time, you will get a velocity. In fact, you would get the change in velocity, as a*t signifies the acceleration of the object over the time, aka the change in velocity.
The initial velocity plus the change in velocity will equal the final velocity, irregardless if the change in velocity is positive or negative.
Therefore,
a)
The acceleration due to gravity at a certain location on Earth is given by
where
G is the gravitational constant
M is the Earth's mass
R is the Earth's radius
h is the altitude above the Earth's surface
At the top of Mt. Everest,
R = 6380 km =
With
(1)
At the Earth's surface,
R = 6380 km =
h = 0
g = ?
So
(2)
By doing the ratio (2)/(1), we find an expression for g in terms of g':
And therefore,
b) 519.3 N
The weight of an object near the Earth's surface is given by
where
m is the mass of the object
g is the acceleration of gravity at the object's location
In this problem,
m = 50 kg is the mass of the object
g' = 9.77 m/s^2 is the acceleration of gravity on top of Mt Everest
Susbtituting,