78.4 joules is the energy of a 4 kg apple that is sitting on a 2 m high tree branch.
<u>Explanation:
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When an apple falls to the ground from a tree, its positional energy (stored as potential gravitational energy) turns into kinetic energy, during a fall. Chemical potential energy is chemical energy because it is food and potential energy as it can still have ability to move. So, in the given case, kinetic energy is zero.
To find potential energy, the formula would be
Where, given
m – Mass – 4 kg
(Known value)
h – Height - 2 m
Substitute these values, we get
Answer:
The displacement of the boat is 7.41 m
Explanation:
Given;
initial velocity of the motorboat, u = 6.5 m/s west
final velocity of the motorboat, v = 1.5 m/s west
acceleration of the motorboat, a = -2.7 m/s² east
The displacement of the boat is given by;
v² = u² + 2ad
where;
d is the displacement of the motorboat
1.5² = 6.5² + 2(-2.7)d
1.5² - 6.5² = -5.4d
-40 = -5.4d
d = (40) / 5.4
d = 7.41 m
Therefore, the displacement of the boat is 7.41 m
To solve this problem we will apply the concept of Impulse. Which is described as the product between the Force and the change in time. Mathematically this can be described as
Where,
F = Force
= Time
Our values are given as,
F = 1450N
Replacing we have,
Therefore the impulse delivered to the soccer ball is 
or 
The further an object is from the centre of a planet, the lower it's gravitational force. Uranus had 14 times as much mass as earth, but it's also a lot bigger than earth. So assuming an object is on the surface of Uranus, it would be really far away from the centre of Uranus, therefore the gravitational force is less.
Hope this helps!
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