<span>Lifting an object increases the gravitational potential energy of the system. If you release the object, that potential energy will be transformed into the energy of an object in motion which is termed as the kinetic energy as it falls toward earth. Hope this helps.</span>
To solve this problem we will apply the concepts related to potential gravitational energy. This is defined as the product between mass, acceleration and change in height and can be expressed as,

Here,
m = Mass
g = Gravitational acceleration
= Height
Replacing with our values we have,


Therefore the change in gravitational potential energy is 883J.
Answer:
It will take 20,000 seconds to get a pressure of 200Pa at the bottom of the tank.
Explanation:
The pressure at the bottom of the tank will be

where
is the mass of the water, and
is the base area of the tank.
The base area of the tank is
,
and if we want the pressure at the bottom to be 200pa, then it must be that
,
solving for
we get:

which is the required mass of the water in the tank.
Now, the tank fills at a rate of 2 drops per second or

since each drop weights 0.05g.
Therefore, the time
it takes to collect 20kg of water will be


which is 55.56 hours or 2 days and 7.56 hours.
Thus, it will take 20,000 seconds to get a pressure of 200Pa at the bottom of the tank.
Answer:
18.7 m
Explanation:
= initial speed of the shot = 13 m/s
θ = angle of launch from the horizontal = 47 deg
Consider the motion along the vertical direction
= initial velocity along vertical direction = 13 Sin47 = 9.5 m/s
= acceleration along the vertical direction = - 9.8 m/s²
y = vertical displacement = - 1.80 m
t = time of travel
Using the kinematics equation

- 1.80 = (9.5) t + (0.5) (- 9.8) t²
t = 2.11 s
Consider the motion along the horizontal direction
x = horizontal displacement of the shot
= initial velocity along horizontal direction = 13 Cos47 = 8.87 m/s
= acceleration along the horizontal direction = 0 m/s²
t = time of travel = 2.11 s
Using the kinematics equation

x = (8.87) (2.11) + (0.5) (0) (2.11)²
x = 18.7 m