m = mass of the ball at the edge of the cliff = 2 kg
h = height of the cliff from where the ball falls off = 40 m
g = acceleration due to gravity = 9.8 m/s²
gravitational potential energy of the ball at the top of the cliff is given as
PE = mgh
inserting the above values in the formula
PE = (2) (9.8) (40)
PE = 784 J
KE = kinetic energy of the ball as hits the ground.
initially at the top of cliff , the ball has no kinetic energy and only potential energy. as the ball falls down the cliff , the speed of ball increase which increases the kinetic energy and potential energy decrease by same amount as the height above the ground decrease.
using conservation of energy
kinetic energy of ball as it hits the ground = Potential energy of the ball at the top of cliff
KE = PE
KE = 784 J
The y-component of the velocity of the carrion is equal to zero. That being said, the time it takes for the carrion to reach the ground (as close as possible to the fox) can be calculated through the equation,
d = Vot + 0.5gt²
where d is the distance, Vo is initial velocity (in this case, zero), g is the acceleration due to gravity (9.8 m/s²). Substituting the known values,
14 = 0.5(9.8)(t²)
t = 1.69 seconds
Since the horizontal component of the velocity is 1.5 m/s, the distance from the base of the tree to the point where the carrion will fall is equal to,
(1.5 m/s)(1.69 s) = 2.535 m
We add this to the given distance of the fox from the base of the tree to determine the distance of the fox from the carrion.
total distance = 2.535 m + 7 m = 9.535 m
Given that the time it takes for it to travel would only be 1.69 seconds, the speed would then be,
speed = (9.535 m) / (1.69 s) = 5.64 m/s
<em>ANSWER: speed = 5.64 m/s</em>
Answer:
1. independent- if you studied. dependent- test scores
2. independent- behavior of students. dependent-student grades
3. independent- what you eat. dependent- amount of gas
4. independent- which bait you use. dependent- how much fish you catch
5. independent-if you talk to the plants or not. dependent- growth
6. independent- whether you eat breakfast or not. dependent-student performance
7. independent- which animal you test. dependent- speed of the animals
8. independent- how much candy you eat. dependent- cavities or not
9. independent- if you eat no sugar or no carbs. dependent- how much weight you lose
10. independent- which thing you measure. dependent- the measurements
Volume isn't a property of matter at all. You can have a big lump or a tiny lump of the same substance.