Answer:
See Explanation
Explanation:
Temperature affects the amount of sugar that will be dissolved in a liquid. It is general knowledge in chemistry that solutes tend to dissolve in hot solvents compared to cold solvents.
Hence, there is a positive relationship between dissolution of sugar in a liquid and increase in temperature.
To test this hypothesis, the variables are temperature and amount of solute. The volume of solvent and type of solvent must be held constant.
Different amounts of solute are dissolved in the same volume of solvent and heated to a constant temperature and the extent of dissolution of the sugar is observed for each experimental unit.
A control experiment is also set up in which different amount of sugar is dissolved in the same volume of solvent as above without heating and the results are compared.
Answer:
The diagonal of the parallelogram PBCA is the resultant force R, which forms two scalene triangles with the forces F1 and F2. Since the sum of all the angles within a triangle is 180°, we can write γ function of α and β. The resultant force can also be calculated analytical, using force projections.
Explanation:
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This question requires us to deal with the football as a projectile. Therefore, we will assume that the ball is caught at the same height from which it was thrown.
To see how far the ball will travel, we use the formula for the range of a projectile that is:
Range = [(initial velocity)^2 * sin(2*angle to horizontal)]/g
Given that the initial velocity is 16 m/s, the angle to the horizontal is 25 and g is 9.81 m/s^2, R works out to be:
almost 20.0 m
The distance the receiver will have to run will be:
20 - 16.5 = 3.5 m
The time of the ball's flight will be equal to the time the receiver has to get to the ball. The ball's flight time is given by:
time = [2 * (initial velocity) * sin(angle from horizontal)] / g
time = 1.38 seconds
Therefore, the receiver's speed must be:
3.5 / 1.38 = 2.54 m/s
Answer: 1.124 m
Explanation:
This situation is a good example of the projectile motion or parabolic motion, and the main equations that will be helpful in this situations are:
x-component:
(1)
Where:
is the initial speed
is the angle at which the venom was shot
is the time since the venom is shot until it hits the ground
y-component:
(2)
Where:
is the initial height of the venom
is the final height of the venom (when it finally hits the ground)
is the acceleration due gravity
Knowing this, let's begin:
First we have to find from (2):
(3)
Rearranging (3):
(4)
This is a <u>quadratic equation</u> (also called equation of the second degree) of the form , which can be solved with the following formula:
(5)
Where:
Substituting the known values:
(6)
Solving (6) we find the positive result is:
(7)
Substituting (7) in (1):
(8)
Finally:
(9)