Answer:
a) The time it takes the ball to reach maximum height is approximately 3.06 seconds
b) The distance of the ball from the home plate once it is at the top is approximately 38.78 m
c) No
d) The height of the ball when it is at the top is approximately 45.92 m
e) The time it takes the ball to travel 100 m horizontally is 5 seconds
F) The height of the ball when it is 100 m away from the home plate is 27.5 m
G) The height of the ball above the ground when it 100 m away from the home plate, is 27.5 m
The height of the ball above the wall at 100 m from home plate is 3.5 m
Explanation:
The given parameters for the motion of the ball are;
The upward (vertical) velocity of the ball, [tex]u_y[/tex] = 30 m/s
The across (horizontal) velocity of the ball, uₓ = 20 m/s
The distance from the home plate to the outfield fence = 100 m
The height of the outfield fence = 24 m
a) The time, '[tex]t_{mh}[/tex]', it takes the ball to reach maximum height is by the following kinematic equation of motion;
[tex]v_y[/tex] = [tex]u_y[/tex] - g·t
Where;
[tex]u_y[/tex] = 30 m/s
g = The acceleration due to gravity ≈ 9.8 m/s²
At maximum height, we have;
[tex]v_y[/tex] = 0 m/s, t = [tex]t_{mh}[/tex]
∴ 0 m/s = [tex]u_y[/tex] - g·[tex]t_{mh}[/tex]
[tex]u_y[/tex] = g·[tex]t_{mh}[/tex]
[tex]t_{mh}[/tex] = [tex]u_y[/tex]/g
∴ [tex]t_{mh}[/tex] = [tex]u_y[/tex]/g = (30 m/s)/(9.8 m/s²) = 150/49 s ≈ 3.06 seconds
The time it takes the ball to reach maximum height, [tex]t_{mh}[/tex] ≈ 3.06 seconds
b) The horizontal distance travelled by the ball, when it is at maximum height, [tex]x_{mh}[/tex], is given as follows;
[tex]x_{mh}[/tex] = uₓ × [tex]t_{mh}[/tex] = 20 m/s × 150/49 s
[tex]x_{mh}[/tex] = 20 m/s × 150/49 s = 3000/49 m
[tex]x_{mh}[/tex] = 3000/49 m
The distance of the ball from the home plate, 'd', once it is at the top (maximum height), is given as follows;
d = 100 m - [tex]x_{mh}[/tex]
∴ d = 100 m - 3000/49 m = 1900/49 m ≈ 38.78 m
The distance of the ball from the home plate once it is at the top = d ≈ 38.78 m
c) The ball is yet to reach the fence when it gets to the top
The ball has approximately 38.78 meters to reach the fence
d) The height of the ball, [tex]h_{max}[/tex], when it is at the top is given by the following kinematic equation
[tex]h_{max}[/tex] = [tex]u_y[/tex]²/(2·g)
Where;
[tex]u_y[/tex] = 30 m/s
g = The acceleration due to gravity ≈ 9.8 m/s²
∴ [tex]h_{max}[/tex] = (30 m/s)²/(2×9.8 m/s²) = 2,250/49 m ≈ 45.92 m
The height of the ball when it is at the top, [tex]h_{max}[/tex] ≈ 45.92 m
e) The time, t₁₀₀, it will take the ball to get 100 m from home plate is found from the following relationship;
Velocity, u = Distance, x/(time, t)
∴ Time = Distance/(Velocity)
t = x/v
The given distance is the horizontal distance, therefore, we use the horizontal component of the velocity as follows;
v = Horizontal velocity of the softball = uₓ = 20 m/s
x = The given horizontal distance travelled by the ball = 100 m
t₁₀₀ = The time it takes the ball to travel 100 m horizontally
∴ t₁₀₀ = x/(uₓ) = 100 m/(20 m/s) = 5 s
The time it takes the ball to travel 100 m horizontally, t₁₀₀ = 5 seconds
F) The height of the ball above ground when it is 100 m away from the home plate is given as follows;
When the ball is 100 m from the home plate, the time, t₁₀₀ = 5 seconds
The height of the ball at 100m, [tex]h_{t_{(100 \, m)}}[/tex], is given according to the kinematic equation of motion for vertical height reached by an object as follows;
h = [tex]u_y[/tex]·t - 1/2·g·t²
∴ [tex]h_{t_{(100 \, m)}}[/tex] = [tex]u_y[/tex]·t₁₀₀ - 1/2·g·t₁₀₀²
Plugging in the known values gives;
[tex]h_{t_{(100 \, m)}}[/tex] = 30 m/s × 5 s - 1/2 × 9.8 m/s × (5 s)² = 27.5 m
The height of the ball when it is 100 m away from the home plate, [tex]h_{t_{(100 \, m)}}[/tex] = 27.5 m.
G) The height of the ball above the ground when it 100 m away from the home plate, is [tex]h_{t_{(100 \, m)}}[/tex] = 27.5 m
The height of the ball above the wall at 100 m from the home plate = The height of the ball when it is 100 m away from the home plate - The height of the wall at 100 m away from the home plate
∴ The height of the ball above the wall at 100 m from home plate = 27.5 m - 24 m = 3.5 m.
Do the atoms in salt follow a pattern
Answer:
Explanation:
Yes, the atoms in a salt do follow a pattern knows as crystalline pattern or crystalline structure. It means it has an ordered arrangement of atoms or ions. As salt is an ionic compound of Sodium and Chlorine, it is formed through ionic bond. This pattern keeps on repeating for each molecule of NaCl
Answer:
yes they do crystalline pattern as well as othe ionic compounds.
2. How much energy does a 5 kg tennis ball have
that is sitting on a shelf that is 2m high?
Answer:
GPE= h a m
GPE= (2)(9.8)(5)
GPE=98 J
17. A car traveling with a velocity of 45 m/s and has a mass of 1120 kg. The car has _________
energy. Calculate it
Answer:
[tex]sln \\ given \\ velocity \:(v) = 45ms {}^{ - } \\ mass \: of \: car \: (m) = 1120kg \\ kinetic \: enegy(k.e) = x \\ \\ k.e = \frac{1}{2} MV {}^{2} \\ k.e = \frac{1}{2} \times 1120 \times 45 \\ k.e = 25200j[/tex]
the car has kenotic energy is 2500J
The car will , have the kinetic energy of 1134 kJ. The kinetic energy is found as the product of half of mass and the square of velocity.
What is kinetic energy?The energy of the body by the virtue of its motion is known as the kinetic energy of the body. It is defined as the product of half of mass and square of the velocity.
The given data in the problem is;
A car traveling with a velocity,v= 45 m/s
The mass is, m= 1120 kg.
The kinetic energy is found as;
[tex]\rm KE = \frac{1}{2} mv^2 \\\\\ \rm KE = \frac{1}{2} 1120 (45)^2 \\\\\ \rm KE = 1134 \ kJ[/tex]
Hence, the car will , have the kinetic energy of 1134 kJ.
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Solids in which the atoms have no particular order or pattern are called
Answer:
Amorphous solids are composed of atoms or molecules that are in no particular order. Each particle is in a particular spot, but the particles are in no organized pattern. Examples include rubber and wax. Crystalline solids have a very orderly, three-dimensional arrangement of atoms or molecules
Explanation:
A 900 kg car has a momentum of 11,700 kg-m/s towards the west. What is the magnitude and direction of its velocity?
Answer:
mv=11700
m=900
v=11700/900=13m/s in west
A potential difference of 12Voltage is applied across a resistor of 120resistance the current in the circuit is
Answer:
the current flowing in the circuit is 0.1 A.
Explanation:
Given;
potential difference, V = 12 V
resistance of the circuit, R = 120 ohms
The current flowing in the circuit is calculated as;
V = IR
I = V/R
where;
I is the current flowing in the circuit
I = 12 / 120
I = 0.1 A
Therefore, the current flowing in the circuit is 0.1 A.
What happens to sediment as a result of erosion and deposition?
(Basically what happens when Erosion or Deposition occur I think. Pls tell me if I was right along with your answer.)
Answer:
In the explanation
Explanation:
After erosion and eruptions which is a primary occuration for sediments, this will create heat and tough pressure leading the sediment to be extremely stable and Hard.
A 10 kg ball is released from the top of a hill. How fast
is the ball going when it reaches the base of the hill?
Approximate g as 10 m/s2 and round the answer to the
nearest tenth.
m/s
hy = 2 m
h = 0.5 m
Answer: 5.5 m/s
Explanation:
5.5 is the answer for edge :)
NEED HELP ASAP !! WILL GIVE BRAINLEIST !!
Answer:
53775
Explanation:
ke= 0.5mv(2)
= 0.5 x 478 x 15(2)
53775
A roller coaster car rapidly picks up speed as it rolls down a slope. As it starts down the slope, its speed is 4 m/s. But 3 seconds later, at the bottom of the slope, its speed is 22 m/s. What is its average acceleration?
plz, show the equation.
Answer:
6m/s²
Explanation:
Given parameters:
Initial velocity = 4m/s
Time = 3s
Final velocity = 22m/s
Unknown:
Average acceleration = ?
Solution:
Acceleration is the rate of change of velocity with time taken.
Acceleration = [tex]\frac{Final velocity - Initial velocity }{Time}[/tex]
Acceleration = [tex]\frac{22 - 4}{3}[/tex] = 6m/s²
On Distance Displacement Position vs. Time graphs. Velocity vs. Time graphs, and Acceleration vs. Time graphs, which vanable is always on the x-axis? A:Distance/Displacement/Position C:Acceleration B:Time D:Velocity
Answer:
your question dosent make sense?
Explanation:
Answer:
The time is always in the x axis.
Explanation:
If a crane uses 500 Joules to raise bricks 20 meters how much Newton’s of force were used
Answer:
25N
Explanation:
Given parameters:
Potential energy expended = 500J
Height = 20m
Unknown:
The force used = ?
Solution:
To solve this problem, we use the expression below:
Potential energy = Force applied x height
500 = Force applied x 20
Force applied = 25N
What happens to an object when there are no forces acting on it or all the forces acting on it are balanced?
Answer:
It stays and remains at rest
Explanation:
When no forces acts on an object or all the forces on it are balanced, the body stays at rest or remains stationary.
This is based on the Newton's law of inertia which states that "an object will remain in a state of uniform motion or at rest unless an external force acts on it".
If the forces acting on a body is balanced, the object will perpetually remain and keep at rest
To date, Saturn is known to have 13 rings made from which of the following?
A. Dust
B. Dark particles
C. Moons
D. Stars
Answer:
it is believed to be shattered moons, asteroids, and comets, so C
Explanation:
an iPod rest at a 1.2 m high table how much time does it take to fall to the floor
Answer:
0.49 s
Explanation:
i'm in middle school sorry if i'm wrong.
The time taken for the iPod to fall from the top table is 0.5 s.
The given parameters;
height of the table, h = 1.2The time taken for the iPod to fall from the top table is calculated as follows;
[tex]h = v_0t + \frac{1}{2} gt^2\\\\h = 0 + \frac{1}{2} gt^2\\\\h = \frac{1}{2} gt^2\\\\gt^2 = 2h\\\\t^2 = \frac{2h}{g} \\\\t = \sqrt{ \frac{2h}{g} } \\\\t = \sqrt{ \frac{2\times 1.2 }{9.8} }\\\\t = 0.5 \ s[/tex]
Thus, the time taken for the iPod to fall from the top table is 0.5 s.
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Which color of visible light has a shorter wavelength than blue light? O A. Red O B. Green O C. Violet OD. Orange A
Answer:
It's violet........
Explanation:
This was right for me.
The color of visible light that has a shorter wavelength than blue light is Red. The correct option is A.
What is electromagnetic spectrum?The electromagnetic spectrum consists of the range of all types of EM radiation. Radiation is packet of energy that travels and spreads out. It has radio waves, infrared waves and visible light waves, ultraviolet rays and microwaves.
They possess high energy even to penetrate deep within the material. electromagnetic spectrum ranges from longer wavelength and less frequency to shorter wavelength and high frequency.
The light with higher wavelength is Blue and the shorter wavelength is Red and the rest of all spectrum colors are in between.
Thus, the correct option is A.
Learn more about electromagnetic spectrum.
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A 98 N ball is suspended from a cable so that it hangs 3.5 m above the earth. Find the mass of the ball and the
gravitational PE of the ball.
Answer:
Yes
Explanation:
Milk in a hot cup can be cooled by pouring its back and fourth between the bigger cup.How does this action help to cool milk?
What is ONE variable that will change the amount of POTENTIAL ENERGY
of a box on the floor?
Answer:
The height or the mass
Explanation:
The one variable that can change the potential energy of a box on the floor is either the height or the mass of the box.
Potential energy is the energy due to the position of a body.
Mathematically;
Potential energy = mass x acceleration due to gravity x height
Therefore, if the mass of the box is changed, the potential energy changes also.
If the position of the box is changed by raising it up, the potential energy changes
Hierarchy of the universe this is due today pls help me
Answer:
what is the question.
Explanation:
how do i calculate this?
CAR 1
Momentum = Mass/Velocity
M = 2100/20
M = 105 m/s^2
CAR 2
Momentum = Mass/Velocity
M = 2100/30
M = 70 m/s^2
One role of a producer in a food chain is to provide? A) water for plants B) sunlight for plants C) nutrients for animals D) shelter for animals
Answer:
Nutrients for animals
Explanation:
Producers are organisms that produce their food, they do not need to depend on other animals for their food. They possess photosynthetic properties that enable them to produce their food.
These set of organisms are located at the bottom of the food chain, they can convert components like water, sunlight and air into carbohydrate through the unique process of photosynthesis.
Without these producers, the food chain would not exist as they form the base and foundation of the food chain, some lower animals depend on them as their source of food.
Explain how a helicopter lifts itself up, from a Newton's 3rd Law perspective,
TC
Displacement of a particle executing SHM is represented by Y = 0.08 sin 3nt +
metre. Then calculate-
a time period
(d) Time period
(
Minitial phase
wõisplacement
7
(c) Displacement from mean position at t=
36
sec.
Answer:
0.08 sin 3nt +
metre. Then calculate-
a time period
(d) Time period
(
Minitial phase
wõisplacement
7
(c) Displacement from mean position at t=
36
sec.
Explanation:
thats the answer
Plzzz what is the theory of relativity????? i know the basics but it is just soooo confusingggg....
Answer:
heyyyyyyy
Explanation:
A 33 kg child on a swing has a potential energy of 720 J with respect to the ground. What is the child’s height above the ground? please answer soon
Answer:
h = 2.22 m
Explanation:
Using the international system, we know that the gravity of the earth is 9.8 m / s².
then, we have as data:
Potential Energy (Ep) = 720 JMass (m) = 33 kgGravity (g) = 9.8 m/s²Height (h) = ?Use formula:
[tex]\boxed{h=\frac{Ep}{m*g}}[/tex]Replace:
[tex]\boxed{h=\frac{720J}{33kg*9.8\frac{m}{s^{2}}}}[/tex]Joules descompose:
[tex]\boxed{h=\frac{720N*m}{33kg*9.8\frac{m}{s^{2}}}}[/tex]Solve the multiply of mass and gravity:
[tex]\boxed{h=\frac{720N*m}{323.4kg*\frac{m}{s^{2}}}}[/tex]Multiply the units. Knowing that kg * m/s² = N, so:
[tex]\boxed{h=\frac{720N*m}{323.4N}}}[/tex]Simplify the Newtons (N), and it divides:
[tex]\boxed{h=2.22\ m}[/tex]What is the child’s height above the ground?
The child's height above the ground is 2.22 meters.
PLEASE HELP ME I HAVE NO IDEA WHO JAKIE ROBINSON IS...
1.) Why is Jackie Robinson an American hero?
2.) What do you admire about Mr.Robinson
3.) If Jackie Robinson was alive today, what do you think he will have to say?
Answer:
ch 46umm nym m m m m hj hj hj
Explanation:
Charge flows from low potential to high potential.
O True
or
O False
Answer:
False
Explanation:
Think of the electric potential in terms of potential energy. If you imagine a place with high elevation (A) and another one at sea level (B), a ball will roll from high potential to low potential (A-->B).
Everything in our universe wants to reach a lower state of energy if no external force is acted upon it. Every object tends to slow down (friction), a radioactive element dissipates energy (an unstable element releases energy to get to a stable state), water in the clouds comes down to the ground (rain experiencing difference in potential energy).
Electric potential is exactly the same, you just can't see it! It flows from higher voltage (which is a synonym for electric potential) to lower voltage.
You and your friend are having a discussion about weight. He claims that he weighs less on the on the 100th floor of a building than he does on the ground floor. Is he correct? support your answer with evidence.
SICENCE
Explanation: ITS RIGHTHELP PLZZZ!!!
An archer pulls back the string of the bow (spring constant of 250 N/m) a distance of 1 meter. How much elastic energy is stored?
Answer:
im soo sad brainly wouldnt let me in the account that asked this question now i have to start everything over
Explanation: