Given that,
Time = 0.5 s
Acceleration = 10 m/s²
(I). We need to calculate the speed of apple
Using equation of motion
Where, v = speed
u = initial speed
a = acceleration
t = time
Put the value into the formula
(III). We need to calculate the height of the branch of the tree from the ground
Using equation of motion
Put the value into the formula
(II). We need to calculate the average velocity during 0.5 sec
Using formula of average velocity
Where, 
= final position
= initial position
Put the value into the formula
Hence, (I). The speed of apple is 5 m/s.
(II). The average velocity during 0.5 sec is 2.5 m/s
(III). The height of the branch of the tree from the ground is 1.25 m.
Answer:
С. 30 m
Explanation:
Given the following data;
Initial velocity, U = 12m/s
Final velocity, V = 18m/s
Acceleration, a = 3m/s²
To find the distance, we would use the third equation of motion;
V ² = U² + 2aS
Substituting into the equation, we have
18² = 12² + 2*3*S
324 = 144 + 6S
6S = 324 - 144
6S = 180
S = 180/6
Distance, S = 30 meters.
In this case the coordinate z is multiplied by your wave vector k, so it travels along z. Note that the electric field will be oscillating along the x direction. H and E are perpendicular to the direction of travel in vacuum.
Answer:
1) v = 7.70 10³ m/s
, 2) F = 115 N and 3) (F/W)% = 90.2%
Explanation:
1) To solve the problem let's use Newton's second law where force is gravitational force and acceleration is centripetal
F = ma.
F = G m M / r²
a = v² / r
G m M / r² = m v² / r
G M / r = v²
Let's look for the distance is the distance from the surface of the has to the station 345 103 m plus the radius of the Earth
r = Re + 345 103
r = 6.37 10⁶ + 3.45 10⁵
r = 6.715 10⁶ m
Let's calculate the speed
v = √ (6.67 10⁻¹¹ 5.98 10²⁴ / 6,715 10⁶) = √ (59,399 10⁶)
v = 7.70 10³ m/s
The speed module is constant, so we can use the uniform motion relationships
v = d / t
The distance is the length of the circle
d = 2π r
d = 2π 6.715 106
d = 42.2 10⁶ m
Let's calculate the time
t = d / v
t = 42.2 10⁶ / 7.70 10³
t = 5.48 10³ s
2) Let's use the universal gravitation equation
F = G m M / r²
F = 6.67 10⁻¹¹ 13.0 5.98 10²⁴ /(6.715 10⁶)²
F = 11.5 10¹ N
F = 115 N
3) in this for we are asked the relationship is out with the weight of the body on earth
F / W = F / mg
F / W = 115 / (13.0 9.8)
F / W = 0.902
F / W% = 90.2%
Testable: Able to be tested or tried.
<em>ex. An example of a testable hypothesis is, Students who attend class more have higher grades, while those who skip have lower grades. </em>
Data: Data is the items of information that represent our analyze, or our findings in an experiment.
<em>ex. An example of Data, is the results of information collected for a research paper.</em>
Evidence: Evidence is information that helps show whether a proposed idea is valid.
<em>ex. We can use evidence to help support our point and strengthen our findings with reasoning.</em>
Theory: Theory is an explanation of something in the natural world that can be tested and gives us the same results each time. A proven hypothesis.
<em>ex. Examples of scientific theories are gravitation, evolution, and plate tectonics. </em>
Hypothesis: A hypothesis is a theory or question that can be tested through study and experimentation. It has more reasoning to it than a simple guess, but not enough information to be a theory.
<em>ex. An example of a possible hypothesis is, If we play music while working on homework, the participant's perfomance will increase.</em>
