Answer:
a
Yes it clears
b
[tex]b= 0.19 \ m[/tex]
c
No it does not clear
d
[tex]z= 0.86 \ m[/tex]
Explanation:
From the question we are told that
The speed at which the player serves the ball is [tex]v = 23.6 \ m/s[/tex]
The height of the ball above the ground is [tex]h = 2.3 7 \ m[/tex]
The distance of the net is [tex]d = 12 \ m[/tex]
The height of the net is [tex]H = 0.9 \ m[/tex]
Generally the time taken for the ball to reach the net is mathematically represented as
[tex]t = \frac{d}{v}[/tex]
=> [tex]t = \frac{12}{23.6}[/tex]
=> [tex]t = 0.508 \ s[/tex]
Generally the change in height of the ball after t is mathematically represented as
[tex]\Delta h = ut + \frac{1}{2} gt^2[/tex]
Here u is the initial velocity which is zero given that the ball was at rest initially
So
[tex]\Delta h = 0* t + \frac{1}{2} * 9.8 * 0.50 8^2[/tex]
=> [tex]\Delta h =1.28 \ m[/tex]
Generally the new height of the ball is mathematically evaluated as
[tex]s= h-\Delta h[/tex]
=> [tex]s = 2.37 - 1.28[/tex]
=> [tex]s = 1.09 \ m[/tex]
From the value obtained we see that [tex]s > H[/tex] hence the ball clears the net
Generally the distance between the center of the ball and the top of the net is mathematically represented as
[tex]b = s - H[/tex]
=> [tex]b = 1.09 - 0.90[/tex]
=> [tex]b= 0.19 \ m[/tex]
Given that the ball makes an angle of [tex]5^o[/tex] with the horizontal , the velocity along the x-axis is
[tex]v_x = v cos(5)[/tex]
=> [tex]v_x = 23.6 cos(5)[/tex]
=> [tex]v_x = 23.5 \ m/s[/tex]
The velocity along the y-axis is
[tex]v_y = v sin(5)[/tex]
=> [tex]v_y = 23.6 sin(5)[/tex]
=> [tex]v_y = 2.06 \ m/s[/tex]
Generally the time taken for the ball to reach the net is
[tex]t = \frac{d}{v_x}[/tex]
=> [tex]t = \frac{12}{23.5}[/tex]
=> [tex]t =0.508 \ s[/tex]
Generally the change in height of the ball after t seconds is
[tex]c = v_yt + \frac{1}{2}gt^2[/tex]
=> [tex]c = 2.06 * 0.508 + \frac{1}{2}* 9.8 * 0.508 ^2[/tex]
=> [tex]c = 2.33[/tex]
Generally the new height of the ball after time t seconds is
[tex]e = h - c[/tex]
=> [tex]e = 2.37 - 2.33[/tex]
=> [tex]e = 0.04 \ m[/tex]
From the value obtained we see that [tex]e < H[/tex] hence the ball does not clear the net
Generally the distance between the center of the ball and the top of the net is mathematically represented as
[tex]z = H-e[/tex]
=> [tex]z = 0.90 - 0.04[/tex]
=> [tex]z= 0.86 \ m[/tex]
(a) Yes, the ball clears the net.
(b) The distance between the center of the ball and the top of the net is 0.203 m.
(c) No, the ball does not clear the net.
(d) Now, the distance between the center of the ball and the top of the net is -0.85 m.
What is a Projectile motion?When any object or body is launched with some initial velocity and making some angle with the horizontal, the body travels in a parabolic path. It is known as the projectile motion.
Given,
The horizontal distance traveled by the ball is 12 m.
The height of the top of the net is 0.90 m.
The height of the horizontal launch of the ball is 2.37 m.
The time for the horizontal motion of the projectile that is the ball is,
[tex]\begin{aligned} {{v}_{0x}}&={{S}_{x}}t \\ t&=\dfrac{{{S}_{x}}}{{{v}_{0x}}} \\ &=\dfrac{{{S}_{x}}}{{{v}_{0}}\cos 0{}^\circ } \\ &=\dfrac{{{S}_{x}}}{{{v}_{0}}} \end{aligned}[/tex]
The equation for the vertical motion of the projectile can be solved by substituting the above result.
[tex]\begin{aligned} y&={{y}_{0}}+{{v}_{0y}}t-\frac{1}{2}g{{t}^{2}} \\ y&={{y}_{0}}+\left( {{v}_{0}}\sin 0{}^\circ \right)\left( \frac{{{S}_{x}}}{{{v}_{0x}}} \right)-\frac{1}{2}g{{\left( \frac{{{S}_{x}}}{{{v}_{0x}}} \right)}^{2}} \\ \left( 0.90\text{ m}+h \right)&=\left( 2.37\text{ m} \right)+0-\frac{1}{2}\left( 9.8\text{ m/}{{\text{s}}^{2}} \right){{\left( \frac{12\text{ m}}{23.6\text{ m/s}} \right)}^{2}} \\ h&=2.37\text{ m}-\text{1}\text{.267 m}-0.90\text{ m} \\ &=0.203\text{ m} \end{aligned}[/tex]
Now, consider the case when the ball is thrown with an angle [tex]\bold{5^{\circ}}[/tex] with the horizontal.
The horizontal component of the initial velocity is [tex]\bold{v_0 \cos 5{}^\circ.}[/tex]
The vertical component of the initial velocity is [tex]\bold{v_0 \sin 5{}^\circ.}[/tex]
For the horizontal distance traveled by the ball in this case, the time taken can be calculated as below,
[tex]\begin{aligned} {t}'&=\frac{{{{{S}'}}_{x}}}{{{{{v}'}}_{0x}}} \\ &=\frac{12\text{ m}}{\left( 23.6\text{ m/s} \right)\cos 5{}^\circ } \\ &=0.51\text{ s} \end{aligned}[/tex]
Now, the vertical distance above the ground, y’, traveled by the projectile till reaching the net can be determined as,
[tex]\begin{aligned} {y}'&={{{{y}'}}_{0}}+{{{{v}'}}_{0y}}{t}'-\frac{1}{2}g{{{{t}'}}^{2}} \\ &=0\text{ m}-\left( \left( 23.6\text{ m/s} \right)\sin 5{}^\circ \right)\left( 0.51\text{ s} \right)-\frac{1}{2}\left( 9.8\text{ m/}{{\text{s}}^{2}} \right){{\left( 0.51\text{ s} \right)}^{2}} \\ &=-1.05\text{ m}-1.28\text{ m} \\ &=-2.32\text{ m} \end{aligned}[/tex]
The height above the top of the net can be determined by adding the above result with (2.37 m - 0.90 m) which is the height of the net’s top relative to the launch position.
[tex]\begin{aligned} {h}'&=\left( 2.37\text{ m}-0.90\text{ m} \right)+{y}' \\ &=\left( 2.37\text{ m}-0.90\text{ m} \right)-2.32\text{ m} \\ &=-0.85\text{ m} \end{aligned}[/tex]
Thus, the distance between the center of the ball and the top of the net is -2,32 m.
When the ball leaves the racquet at 5.00° below the horizontal, the distance between the center of the ball and the top of the net is -0.85 m.
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Please help. to find these
Answer:
Velocity ratio & input work
Explanation:
If u input velocity u can work the ratio...;D ;D ;D xD
In which of the following instrument is the image that is formed erect
a. Pin hole camera b. Simple camera c. microscope d. periscope
Answer:
C. microscope
Explanation:
A simple microscope is magnifying glass, an ordinary double convex lens having a short focal length that produces virtual and erect image.
Which combustion product is a deadly gas that you cannot see or smell? O sulfur dioxide O carbon monoxide O carbon dioxide O sulfur monoxide
Answer:
carbon monoxide
Explanation:
You place a drop of blue food coloring in a cup of cold water and another drop of food coloring in a cup of hot water. Which observation is correct and why? A The food coloring in the hot water will spread more slowly than in the cold water because water molecules move more slowly when hot. B The food coloring in the hot water will spread more quickly than in the cold water because water molecules move more quickly when hot. C The food coloring in the cold water will spread more quickly than in the hot water because water molecules move more quickly when cold. D The food coloring in the cold water will spread at the same rate at the food coloring in the hot water because water molecules at any temperature move at the same rate.
Answer:
B food coloring will move quicker in hot water because the molecules move faster when they are hot
Explanation:
SCIENCE! aaaaand my physics text book
Option B is correct: The food coloring in the hot water will spread more quickly than in the cold water because water molecules move more quickly when hot since they have more kinetic energy.
Kinetic energy of the molecules:According to the question, we place a drop of blue food coloring in a cup of cold water and another drop of food coloring in a cup of hot water and then observe the spreading of the blue color in both the cups.
Option B will be correct because the kinetic energy of the molecules of a gas or a liquid is directly proportional to the absolute temperature of the gas or the liquid.
High kinetic energy means that the molecules will have higher velocity, which will make it easier for any solvent to dissolve in water since it will spread faster.
So the cup which has water at a higher temperature will have a faster spread of the food coloring.
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A 10 gram ball is rolling at 3 m/s. What is the energy the ball has?
Answer:
K = 0.045 J
Explanation:
It is given that,
Mass of a ball, m = 10 g = 0.01 kg
Speed of the ball, v = 3 m/s
To find,
The energy of the ball.
Solution,
Due to the motion of the ball, it will have kinetic energy. It can be given by the formula as follows :
[tex]K=\dfrac{1}{2}mv^2\\\\K=\dfrac{1}{2}\times 0.01\times 3^2\\\\K=0.045\ J[/tex]
So, the ball will have a kinetic energy of 0.045 J.
UWU plz help 50 points!!
A sprinter accelerates from the starting blocks with an acceleration of 2.5 m/s/s. They accelerate for a total of 8 seconds.
a. How far will they run while accelerating? Explain how you found your answer.
b. How fast are they moving after those 8 seconds? Explain how you found your answer
Answer:
i think its 20m for b
Explanation:
How to Calculate weight
Answer:
Weight is a measure of the force of gravity pulling down on an object. It depends on the object's mass and the acceleration due to gravity, which is 9.8 m/s2 on Earth. The formula for calculating weight is F = m × 9.8 m/s2, where F is the object's weight in Newtons (N) and m is the object's mass in kilograms.
Explanation:
What is the end product of mitosis?
A. Four gametes
B. Two identical nuclei
C. One complete zygote
D. A cell with one set of chromosomes
Answer:
It is B
Explanation:
I did the test
From the given options, the end product of mitosis is Two identical nuclei (option b)
Mitosis is a fundamental cellular process that occurs in somatic (non-reproductive) cells, aiming to create two genetically identical daughter cells from one parent cell. It consists of several stages: prophase, metaphase, anaphase, and telophase.
During prophase, the chromatin (a combination of DNA and proteins) condenses into visible chromosomes, and the nuclear membrane disintegrates. In the subsequent stage, metaphase, the chromosomes align at the cell's equator, ensuring each daughter cell receives an equal number of chromosomes.
Next comes anaphase, where the paired chromosomes are pulled apart and move towards opposite poles of the cell. The final phase, telophase, involves the formation of two separate nuclei around the separated chromosomes.
At the end of mitosis, the single parent cell has divided into two genetically identical daughter cells, each containing a complete set of chromosomes. These daughter cells are fully functional and capable of carrying out their specific tasks within the organism.
So, the correct Answer: B. Two identical nuclei.
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For brainliest !!!!!!! Do it
Answer and Explanation:
Using a = F/m, we get:
Acceleration for Road A = 480/62 = ~7.74 m/s^2
Acceleration for Road B = 240/62 = ~3.87 m/s^2
Acceleration for Road C = 600/62 = ~9.68 m/s^2
If the net force becomes higher than 600N and the mass stays constant, the acceleration will increase proportionally to how much the force increases and the acceleration will be greater than the acceleration when the force is 600N.
I hope this helps! :)
a 5 kg mass is accelerated at a rate of 2.5 m/s/s. what is the force that is exerted on this object
Answer:
12.5 NExplanation:
The force acting on an object given it's mass and acceleration can be found by using the formula
force = mass × acceleration
From the question we have
force = 5 × 2.5
We have the final answer as
12.5 NHope this helps you
A storage tank contains a liquid at depth y where y=0 when the tank is half full. liquid is withdrawn at a constant flow rate q to meet demands. the contents are resupplied at a sinusoidal rate 3qsin2(t). the equation can be written for this system as the
Answer:
y(t) = [tex]\frac{3Q}{2A} ( t - 1/2 sin2t ) - \frac{Q}{A} t + C[/tex]
Explanation:
Given data :
storage tank contains a liquid at depth ; Y
when tank is half full ; y = 0
flow rate = q
sinusoidal rate = 3Q [tex]sin^{2} (t)[/tex]
Determine how the equation can be written for this system
solution is attached below
note ; from the question it can be seen that the surface area ( A ) is constant
I will mark a brainluest, And good ponits, Please help me out
Answer:
gas, liquid and the last one is opaque solid
Explanation:
Answer:
gas, liquid and the last one is opaque solid
Explanation:
How fast will a bug that is going 640cm in 320 seconds travel across the
floor? *
O 2 seconds
O 2.56 cm/s
O 40,000 seconds
O 2 cm/s
Answer:
2 cm/s
Explanation:
As, 640cm/320s = 2cm/1s
Therefore, 2cm/ s
Betsy created the following mnemonic device to help her remember the order of the planets starting from the Sun: “Most Very Elegant Mammals Sleep Just Until Noon”. Why doesn’t her mnemonic work?
a) She has Saturn and Jupiter in the wrong order.
b) She has Mercury and Venus in the wrong order.
c) She has Uranus and Neptune in the wrong order.
d) She has Earth and Mars in the wrong order.
Answer:
A
Explanation:
The order of the planets in the solar system, starting nearest the sun and working outward is the following: Mercury, Venus, Earth, Mars, Jupiter, Saturn, Uranus, Neptune
Please answer these three multiple choices!
Would appreciate a loooottttt today!!
Answer:
Q2 [ C ]
Q4 [ C]
Q5 [ C]
if u want the steps write a comment
Finding volume using displacement and calculating density
Answer:
a) 0.1
b) density = mass/volume
= 0.5 /0.1
= 5 kg/[tex]m^{3}[/tex]
what was the rule of the sticks on each atom model
Answer:
That they must die
Explanation:
Stick = Die
Which body system includes protection of internal organs and blood cell formation? (4 points)
a
Integumentary system
b
Muscular system
c
Skeletal system
d
Cardiac muscular system
Answer:
The answer is C Skeletal System
So I don’t really get it can you also explain what’s the difference between radiation,conduction, and convection?
Answer:
I think its radiation
Explanation:
Conduction is the transfer of heat through solids (A)
Convection is the transfer of heat through liquids or gasses (B)
Radiation is the transfer of heat through em waves (C)
The sum of two component vectors is referred to as the
vector.
Addition
Quantitative
Subtraction
Resultant
How much time does it take a rhino running at 40 m/s to run 250 m?
Answer:
Rhinoceroses are odd-toed ungulates native to sub-Saharan Africa and southern Asia, though all five living species have hugely contracted in range and number due to the influence of humans. Despite their titanic, tank-like bulk, rhinos can be amazingly swift: The fastest may reach at least 50 kilometers per hour (31 mph).
Explanation:
sana makatulong
Need help solving this question.
Answer:
See the answers below.
Explanation:
to solve this problem we must make a free body diagram, with the forces acting on the metal rod.
i)
The center of gravity of the rod is concentrated in half the distance, that is, from the end of the bar to the center there is 40 [cm]. This can be seen in the attached free body diagram.
We have only two equilibrium equations, a summation of forces on the Y-axis equal to zero, and a summation of moments on any point equal to zero.
For the summation of forces we will take the forces upwards as positive and the negative forces downwards.
ΣF = 0
[tex]-15+T-W=0\\T-W=15[/tex]
Now we perform a sum of moments equal to zero around the point of attachment of the string with the metal bar. Let's take as a positive the moment of the force that rotates the metal bar counterclockwise.
ii) In the free body diagram we can see that the force acts at 18 [cm] of the string.
ΣM = 0
[tex](15*9) - (18*W) = 0\\135 = 18*W\\W = 7.5 [N][/tex]
Halp meeeeeeeeeeeeeeeeee
Answer:
1º all
2º 1
3º 2
4º the same
Explanation:
Which of the following best describes inertia?
A. Rowing a boat
B. Moving forward in your seat when the car suddenly stops
C. A rocket taking off from the launching pad
D. A bicycle requires less force to move than a car
At the top of a projectile's path above Earth, the acceleration of an object
Answer: At the top of a projectile's path above earth, the acceleration of an object. Compared to the range of a bullet shot horizontally, a bullet shot at a 30 degree angle.
Explanation: I hope that helped!
Calculate the pressure exerted by the elephant (24000 Newtons) on the ground, assuming that
the total area of its feet is 0.8 m2.
Answer:
3000 PaExplanation:
The pressure exerted by the elephant can be found by using the formula
[tex]p = \frac{f}{a} \\ [/tex]
f is the force
a is the area
From the question we have
[tex]p = \frac{2400}{0.8} \\ [/tex]
We have the final answer as
3000 PaHope this helps you
What does the big ‘2’ in 2CO2 mean?
Please help quickly i'm in science class
Answer:
It means you multiply everything after the "Big two"
Explanation:
The soprano's singing caused a drinking glass to shatter.
Explain why this happened using what you know about
resonance.
Answer:
The soprano's singing matched the natural frequency of the glass, causing it to vibrate. The strong vibrations caused the glass to shatter.
Explanation:
edg 2020
A motorcyclist drives around a bend with a 20 m radius, with a constant velocity of 3 m/s. The motorcyclist and the motorcycle have a combined mass of 50 kg. What is the motorcyclist’s centripetal acceleration?
Answer:
[tex]a=0.45\ m/s^2[/tex]
Explanation:
Given that,
The radius of a bend, r = 20 m
Velocity of motorcyclist, v = 3 m/s
The combined mass of motorcyclist and the motorcycle is 50 kg
We need to find the motorcyclist’s centripetal acceleration. The formula used to find the centripetal acceleration is given by :
[tex]a=\dfrac{v^2}{r}\\\\a=\dfrac{(3)^2}{20}\\\\a=0.45\ m/s^2[/tex]
So, the acceleration of the motorcyclist is [tex]0.45\ m/s^2[/tex].
How to get the radius from the circumference?
Answer:
The equation Pi = c/2r means that Pi (r) = c/2, so r = c / (2 Pi). The radius of a circle is therefore equal to c / (2 Pi), where c is the circumference of the circle.
Explanation: