Answer:
The initial velocity of the pitch is approximately 36.5 m/s
Explanation:
The given parameters of the thrown fastball are;
The height at which the pitcher throws the fastball, h₁ = 2.65 m
The angle direction in which the ball is thrown, θ = 2.5° below the horizontal
The height above the ground the catcher catches the ball, h₂ = 1.02 m
The distance between the pitcher's mound and the home plate = 18.5 m
Let 'u' represent the initial velocity of the pitch
From h = [tex]u_y[/tex]·t + 1/2·g·t², we have;
[tex]u_y[/tex] = The vertical velocity = u·sin(θ) = u·sin(2.5°)
h = 2.65 m - 1.02 m = 1.63 m
uₓ·t = u·cos(θ) = u·cos(2.5°) × t = 18.5 m
∴ t = 18.5 m/(u·cos(2.5°))
∴ h = [tex]u_y[/tex]·t + 1/2·g·t² = (u·sin(2.5°))×(18.5/(u·cos(2.5°))) + 1/2·g·t²
1.63 = 8.5·tan(2.5°) + 1/2 × 9.8 × t²
t² = (1.63 - 8.5·tan(2.5°))/(1/2 × 9.8) = 0.25691469087
t = √(0.25691469087) ≈ 0.50686752763
t ≈ 0.50686752763 seconds
u = 18.5 m/(t·cos(2.5°)) = 18.5 m/(0.50686752763 s × cos(2.5°)) = 36.5334603 m/s ≈ 36.5 m/s
The initial velocity of the pitch = u ≈ 36.5 m/s.
What is 1.2 x 10^5 in standard form?
The standard form of the given exponential function is 120000.
By putting the number as a base and the number of repetitions as a little number to its upper right, a representation of repeated multiplications of the same number is known as an exponential form.
It is simpler to write repeated multiplication using base and exponents in the exponential form.
The equation f(x) = aˣ, in which the input variable x appears as an exponent and a as the base, describes an exponential function.
So, the given exponential function is,
1.2 x 10⁵
Here, 10 is the base and 5 is the exponent.
10⁵ = 100000
Therefore, the standard form of the given equation is,
1.2 x 100000 = 120000
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+
1. Energy due to motion is
_______ energy
Answer:
Kinetic energy
Explanation:
The energy associated with an object's motion is called kinetic energy. A speeding bullet, a walking person, and electromagnetic radiation like light all have kinetic energy.
Kinetic energy. For example, a walking person.
What is elastic potential energy and give and a example
Answer:
Many objects are designed specifically to store elastic potential energy, for example: The coil spring of a wind-up clock. An archer's stretched bow. A bent diving board, just before a divers jump
Explanation:
Answer:
Elastic Potential Energy is stored in elastic items.
A example of Elastic Potential Energy is a rubber band. When you stretch it, and it shoots off your finger. Where the rubber band gives off Elastic Potential Energy, is when you stretch it on your fingers, before you let it go.
An impulse of 12.2kg m/s is delivered to an object whose initial momentum is 4.5kgm/s. What is the object's final momentum?
Answer:
Object's final momentum = 16.7 kg-m/s
Explanation:
Given that,
Impulse, J = 12.2 kg-m/s
Initial momentum, [tex]P_i=4.5\ kg-m/s[/tex]
We need to find the object's final momentum. We know that the impulse is equal to the change in momentum. So,
Impulse = change in momentum
[tex]J=P_f-P_i\\\\P_f=J+P_i\\\\P_f=12.2+4.5\\\\P_f=16.7\ kg-m/s[/tex]
So, the object's final momentum is 16.7 kg-m/s.
Given:
Impulse, [tex]J = 12.2 kg-m/s[/tex]Initial momentum, [tex]P_i = 4.5 \ kg-m/s[/tex]We know the relation,
→ [tex]Impulse = Change \ in \ momentum[/tex]
or,
→ [tex]J = P_f-P_i[/tex]
then,
→ [tex]P_f = J+P_i[/tex]
By substituting the values,
[tex]= 12.2+4.5[/tex]
[tex]= 16.7 \ kg-m/s[/tex]
Thus the above answer is right.
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Can someone help me with these questions pls
I only have 3 minutes left this is my last question
define principle of lever
Answer:
pull to activate something
Explanation:
Which part of the drum (Instrument)vibrates when it produces sound?
Answer:
Striking the head of the drum changes its shape and compresses the air inside the shell. the compressed air presses on the bottom head and changes its shape. then these changes are transmitted to the drum shell and reflected back and this action is repeated created a vibration.
Explanation:
Hope this helped Mark BRAINLEST!!!
How do you find mass in physics
What is the density of an object that has a mass of 54g and a volume of 9 mL
Answer:
idc
Explanation:
idc
Which form of electromagnetic radiation with a relatively high amount of energy is used to sanitize lab goggles?
Answer:
sorry
Explanation:
i don't know this but when i find the answer i will type here
Gamma rays of electromagnetic radiation with a relatively high amount of energy is used to sanitize lab goggles.
What are gamma rays?A gamma ray, also known as gamma radiation, is a penetrating form of electromagnetic radiation arising from the radioactive decay of atomic nuclei. It consists of the shortest wavelength electromagnetic waves, typically shorter than those of X-rays.
Moreover, gamma rays are the most harmful external hazard. Beta particles can partially penetrate skin, causing “beta burns”. Alpha particles cannot penetrate intact skin. Gamma and x-rays can pass through a person damaging cells in their path.
Therefore, both x-rays and gamma rays are forms of high-frequency (high-energy) ionizing radiation, which means they have enough energy to remove an electron from (ionize) an atom or molecule. Ionizing radiation can damage the DNA (genes) inside a cell. Sometimes this can lead to cancer later on.
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is solar system a natural system or human-made system
Answer:
Natural
Explanation:
Answer:
It's a Natural System
Explanation:
When the Solar System was formed Human didn't even exist. the planets clashed and a lot of changes happened to create earth and different planets.
PLEASE HELPPPPP!!!!!!!!!
circle the best answer on the line provided.
i. If an object starts to accelerate,
a. a balanced force is acting on it
b. gravity is acting on it
c. velocity is acting on it
d. an unbalanced force is acting on it
Plsss asap ill mark branliest
5.0 kg, with a bullet of mass 0.1 kg. The target was mounted on
low-friction wheels and as the bullet struck the target, the target with
bullet embedded bullet sped off with a velocity of 6.0 ms.
Calculate the velocity of the bullet just before it hit the stationary
target.
Answer:
306 m/s
Explanation:
Law of conservation of momentum
m1v1 + m2v2 = (m1+m2)vf
m1 is the bullet's mass so it is 0.1 kg
v1 is what we're trying to solve
m2 is the target's mass so it is 5.0 kg
v2 is the targets velocity, and since it was stationary, its velocity is zero
vf is the velocity after the target is struck by the bullet, so it is 6.0 m/s
plugging in, we get
(0.1 kg)(v1) + (5.0 kg)(0 m/s) = (0.1 kg + 5.0 kg)(6.0 m/s)
(0.1)(v1) + 0 = 30.6
(0.1)(v1) = 30.6
v1 = 306 m/s
The initial velocity of the bullet can be determined from the total momentum of the system. The velocity of the bullet was 306 m/s.
What is momentum ?Momentum of a body is the product of its mass and velocity. For a collision, the momentum before and after collision will be the same for the colliding system.
Let m1 and m2 be the masses and u be the initial velocity and v is the final velocity.
then, m1 u1 + m2 u2 = m1 v1 + m2 v2.
Given m1 = 5 kg
m2 = 0.1 kg
The velocity of the combined mass v = 6 m/s.
The momentum of the target is zero since it was stationary.
(0.1 × u1) = (0.1 + 5)6 m/s
(0.1 × u1) = 30.6 m/s
then u1 = 30.6/0.1 = 306 m/s
Therefore, the velocity of the bullet before hitting was 306 m/s.
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PLS ANSWER FAST WILL GIVE BRAINLY!!!!
Why does the look of an atom keep changing?
Answer:Atomic model keep changing because the electrons around the nucleus are not fixed and they keeps rotating or changing their position in valence orbits around the nucleus.
Explanation:
May you please help me?
Answer:
The first one is 9 times the original
The second one is 1/2 times
The third one is 1/3 times
A sledgehammer is an example of what kind of simple machine?
A. Wheel and axle
o
B. Screw
c
C. Wedge
D. Lever
SUS
I am 95 percent sure the answer in C
Answer: C
Explanation:
Calculate the wavelength of a water wave with a speed of 3.0 m/s and frequency of
4.0 Hz.
Answer:
the answer is 12.0
The wavelength of the water wave is 0.75 meters.
What is wavelength?Wavelength is the distance between successive peaks or troughs of a wave. It is denoted by the symbol λ (lambda) and is measured in meters (m) or other units of length.
The wavelength of a wave determines its properties such as its energy, frequency, and speed. In general, waves with longer wavelengths have lower frequencies and travel at slower speeds, while waves with shorter wavelengths have higher frequencies and travel at faster speeds.
Here in the Question,
The relationship between the wavelength (λ), frequency (f), and wave speed (v) of a wave is given by the equation:
v = λf
We are given the speed of the water wave (v) as 3.0 m/s and the frequency (f) as 4.0 Hz.
Plugging these values into the equation, we get:
3.0 m/s = λ x 4.0 Hz
Rearranging the equation to solve for the wavelength, we get:
λ = v/f = 3.0 m/s ÷ 4.0 Hz = 0.75 m
λ = 0.75 m
Therefore, the wavelength of the water wave is 0.75 meters.
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Big sound is heard in bathroom than in a living room
Answer
That doesn't make any sense.
Explanation:
What changes into energy in the sun?
Answer:
The sun generates energy from a process called nuclear fusion. During nuclear fusion, the high pressure and temperature in the sun's core cause nuclei to separate from their electrons. Hydrogen nuclei fuse to form one helium atom. During the fusion process, radiant energy is released. :D
I can't understand
like which energy changes are involved
which energy it was first and which it was converted into
Answer:
turtle
Explanation:
What is density? Write a formula by showing the relation of mass density and volume
Answer: below
Explanation: Density, mass of a unit volume of a material substance. The formula for density is d = M/V, where d is density, M is mass, and V is volume
Answer:
Density is defined as the amount of matter contained in unit volume of body
PLEASE HELP!! 25 POINTS!! WILL MARK BRAINLIEST!!
The focus of a parabola is (−6,−3) . The directrix of the parabola is y=4. What is the equation of the parabola?
The focus of a parabola is (0,−4). The directrix of the parabola is the line y=−5. What is the equation of the parabola?
The directrix of a parabola is the line y=7. The focus of the parabola is (2,3). What is the equation of the parabola?
The directrix of a parabola is y=−6. The focus of the parabola is (−2,−4) . What is the equation of the parabola?
The standard equations of the parabolas are listed below:
y + 6 = - (1/14) · (x + 6)² y = (1/2) · (x + 4.5)² y - 5 = - (1/8) · (x - 2)² y + 5 = (1/4) · (x + 2)²How to determine the standard equation of the parabolaIn this question we have four case of parabolas with vertical axes of reference, whose standard formula is:
[tex]y - k = \frac{1}{4\cdot p}\cdot (x-h)^{2}[/tex] (1)
Where:
(h, k) - The vertex of the parabola.p - Least distance between the vertex and the focus of the parabola.Please notice that p < 0 when the directrix is above the focus, otherwise p < 0. The vertex is the midpoint of line segment between the directrix and the focus.
Now we proceed to derive the standard equations of the parabola:
1) Vertex:
(h, k) = 0.5 · (- 6, 4) + 0.5 · (- 6, - 3)
(h, k) = (- 6, 0.5)
Least distance:
p = - 3.5
y + 6 = - (1/14) · (x + 6)²
2) Vertex:
(h, k) = 0.5 · (0, - 4) + 0.5 · (0, - 5)
(h, k) = (0, - 4.5)
Least distance:
p = 0.5
y = (1/2) · (x + 4.5)²
3) Vertex:
(h, k) = 0.5 · (2, 3) + 0.5 · (2, 7)
(h, k) = (2, 5)
Least distance:
p = 2
y - 5 = - (1/8) · (x - 2)²
4) Vertex:
(h, k) = 0.5 · (- 2, - 6) + 0.5 · (- 2, - 4)
(h, k) = (- 2, - 5)
Least distance:
p = 1
y + 5 = (1/4) · (x + 2)²
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Please kind sir/lady help me with my home work UvU
yes
Explanation:
the endorsment is successful because Jordan shoe is a imported brand
Determine the increase in volume of 100m3 of mercury when it's temperature change from 10c to 45c the linear expansion coefficient is 6 x 10-5
Answer:
0.63m
Explanation:
Volume expansivity = change in volume/original volume×temp change
Volume expansivity p = 3x
p = ∆V/V∆t
x is the linear expansivity
Given
x = 6 x 10^-4
p = 3x
p = 3(6 x 10^-5)
p = 18×10^-5
Volume = 100m³
∆t = 45-10 = 35°C
Required
Change in volume ∆V
Substitute the given values into the formula
18×10^-5 = ∆V/100(35)
18×10^-5 =∆V/3500
∆V = 3500×0.00018
∆V = 0.63m
Hence the increase in volume of the Mercury is 0.63n
What is the net force on a refrigerator that you push with an applied force of 125 N to the right and the (sliding) friction between the floor and the fridge is 95 N to the left? (b) As you increase the force applied to the fridge, will the friction force also increase? Explain. Hint: remember the force of friction between solid surfaces does not depend on speed
Answer:
hola
Explanation:
jffkbjkcvncncjcncjcjchchchcjcjcjcjcjckgmndjekbm hdfstfm mvndbfncn bdhwhgmvmch
how could you use Newton's Second Law to study forces?
Answer:
F = ma or force is equal to mass times acceleration.
Explanation:
Why is it important for body cell to have twice and many chromosomes as sex cells?
Answer:
Why sex cells only need half the number of chromosomes compared to other cells in the body? As gametes are produced, the number of chromosomes must be reduced by half. Why? The zygote must contain genetic information from the mother and from the father, so the gametes must contain half of the chromosomes found in normal body cells.
Explanation:
Brainliest Plzz
Answer:
During Mitosis, the chromosomes split at G2 Phase.
A train travels 100 km east and then 75 km west. What is the magnitude of
its displacement?
Answer:
displacement = 100 - 75 = 25 km east
