Answer:
The effective spring constant of the firing mechanism is approximately 21.804 N/m
Explanation:
The mass of the circus performer, m = 75.6 kg
The angle of elevation above the horizontal, θ = 37.2°
The instrument the cannon uses to propel the performer = Strong elastic band
The length by which the band stretches, x = 2.70 m
The height of the performer above the floor at the point the performer flies free of the bands = The height of the net into which he is shot
The time he takes to travel the horizontal distance between the point he is shot and the net, t = 2.34 s
The horizontal distance between the the point he is shot and the net, dₓ = 26.9 m
Therefore, the horizontal component of the velocity, vₓ, can be found with the following kinematic equation of motion;
vₓ = dₓ/t
∴ vₓ = 2.70 m/(2.34 s) = (15/13) m/s
By the resolution of the initial velocity, 'v', into the horizontal and vertical component, we have;
The horizontal component, vₓ = v × cos(θ)
∴ v = vₓ/(cos(θ))
v = (15/13)/(cos(37.2°)) ≈ 1.45
The initial velocity, v ≈ 1.45 m/s
The kinetic energy given to the circus performer by the elastic band, K.E., is given as follows;
K.E. = (1/2)·m·v²
Where;
m = The mass of the performer = 75.6 kg
v = The velocity given to the performer ≈ 1.45 m/s
∴ K.E. ≈ (1/2) × 75.6 × 1.45² ≈ 79.475
∴ K.E. ≈ 79.475 J
The kinetic energy, K.E., given to the performer, (1/2)×m×v² = The kinetic energy of the elastic band = (1/2)×k×x²
Where;
k = The effective spring constant of the firing mechanism
x = The extension of the sling = 2.70 m
Therefore, we get;
K.E. = (1/2)·m·v² = (1/2)·k·x²
∴ K.E. ≈ 79.475 J = (1/2) × 75.6 × 1.45² = (1/2) × k × (2.70 m)²
∴ 79.475 J ≈ (1/2) × k × (2.70 m)²
k = 79.475 J/((1/2) × (2.70 m)²) ≈ 21.804 N/m
The effective spring constant of the firing mechanism, k ≈ 21.804 N/m.
______ is a chemical reaction between an acid and a base that forms a salt and water. Group of answer choices Neutralization Dissociation Titration Ionization
Answer:
neutralization
Explanation:
this is because
acid + base ---> salt + water
How much force will your need to move a 200 pound refrigerator onto a truck bed that is five feet high if you use a 10 foot inclined plane?
Answer:
P = 100 lb
Explanation:
For an ideal machine:
[tex]Work\ In = Work\ Out\\(P)(L)=(W)(H)[/tex]
where,
P = Effort = Input Force = ?
L = Effort Arm = Length of inclined plane = 10 ft
W = Load to be lifted = 200 lb
H = Load Arm = Height = 5 ft
Therefore,
[tex]P(10\ ft) = (200\ lb)(5\ ft)\\\\P = \frac{(200\ lb)(5\ ft)}{10\ ft}[/tex]
P = 100 lb
In the center of the Milky Way galaxy is a
A
Answer:
a super massive blackhole
Oxygen has 6 valence electrons. how many hydrogen atoms (who have 1 valence electrons) can bond with it? remember the octet rule.
Answer:
Oxygen starts with six valance electrons and ends with six valance electrons but after bonding has parts of the densities of 8 electrons
Explanation:
Chemical bonding does not increase the valance electrons. Oxygen has 6 valence electrons. Bonding is sharing of valance electrons
The electron density of two of the valance electrons of Oxygen are shared with the Hydrogen atoms. The Hydrogen atoms is turn share part of the electron density of their single electron with Oxygen.
This means that there are parts of 8 electron densities around the Oxygen. This does not increase the number of valance electrons of Oxygen. (Note the sharing is very unfair, Oxygen gets more than its
share of the electron densities of the two electrons used for the chemical bond.
Explanation:
Match the following. Match the items in the left column to the items in the right column.
1. March 21
7
North Pole
2. Arctic
vernal equinox
3. December 21
longitude
4. meridians
lowest point on earth
5. September 23
latitude
6. Greenwich, England
South Pole
7. Antarctic
winter solstice
8. Marianas Trench
autumnal equinox
9. parallels
Prime Meridian
10. International Date Line
180th meridian
Answer:
March 21 = Vernal Equinox
Artic = North Pole
December 21 = Winter Solstice
Meridians = Longitude
September 23 = Autumnal Equinox
Greenwich, England = Prime Meridian
Antarctic = South Pole
Marianas Trench = Lowest point on earth
Parallels = Latitude
International Date Line = 180th Meridian
Explanation:
A baseball player catches a 200 gram baseball which is moving
horizontally at a speed of 42.1 m/s. Determine the force which she must
apply to the baseball if her mitt recoils a horizontal distance of 29.2 cm.
A.) 177 N
B.) 0.57 N
C.) 607 N
D.) 57290 N
Please help solve
Did you get the answer? I need it
A bullet with a mass of 0.040 kg collides inelastically with a wooden block of mass 1.5 kg, initially at rest. After the collision, the bullet along with the block has a speed of 1.0 m/s. Calculate the initial speed of the bullet.
Answer:12.43 m/s
Explanation:
Kevin bikes to the pizza place for lunch. He rides 1 km east, 3 km north, 4 km west, and finally 3 km south. What was his displacement?
Answer:
3kmExplanation:
To get the displacement, we will make use of the expression;
[tex]D = \sqrt{(\sum d_x)^2+(\sum d_y)^2}[/tex]
Taking the sum of the distances along the x;
dx = 1km - 4km
dx = -3km
Taking the sum of the distances along the y axis
dy = 3km - 3km
dy = 0km
Substitute into the formula above;
[tex]R = \sqrt{(-3)^2+(0)^2}\\R = \sqrt{9} \\R = 3km\\[/tex]
Hence his displacement is 3km
How are light waves produced
Answer:
Electromagnetic waves are created by oscillating charges (which radiate whenever accelerated) and have the same frequency as the oscillation. Since the electric and magnetic fields in most electromagnetic waves are perpendicular to the direction in which the wave moves, it is ordinarily a transverse wave
Explanation:
Answer:
Electromagnetic waves are created by oscillating charges (which radiate whenever accelerated) and have the same frequency as the oscillation. Since the electric and magnetic fields in most electromagnetic waves are perpendicular to the direction in which the wave moves, it is ordinarily a transverse wave
Explanation:
Why would African Americans like the song "Respect"?
A. It represented African Americans and their struggle for equality.
B. It represented African Americans and their success in achieving
equality.
C. It represented African Americans and their fight for African
independence.
D. It represented African Americans and their struggle to end slavery.
B. It represented African Americans and their struggle for equality.Answer:
Explanation:
Which change would create light?
A. An electron in an atom jumping from a lower energy state to a higher one.
B. Two electrons from the same atom colliding
C. An electron in an atom jumping from a higher energy state to a lower one.
D. Two electrons from two different atoms colliding.
Answer:
Im not 100% sure but i think the answer is A. An electron in an atom jumping from a lower energy state to a higher one.
Explanation:
lmk if its wrong
An astronaut weighs 200 N on the Moon where gravity is 1.62 m/s/s. Find his weight on Earth. HELP PLEASE FAST
Answer:
the weight of the astronaut on Earth is 1209.88 N
Explanation:
Given;
weight of the astronaut, W = 200 N
acceleration due to gravity on moon, g = 1.62 m/s²
Apply Newton's second law of motion to determine the mass of the astronaut;
F = ma = mg
m = F/g
m = 200 / 1.62
m = 123.457 kg
The weight of the astronaut on Earth is calculated as follows;
F = mg
where;
g is acceleration due to gravity on Earth = 9.8 m/s²
F = 123.457 x 9.8
F = 1209.88 N
Therefore, the weight of the astronaut on Earth is 1209.88 N
A 10kg box accelerates forward at a rate of 12 m/s^2. What is the force acting on the box?
120N
N8'0
ON
Answer:
120N
Explanation:
Newton's second law formula: F= ma
given that m = 10 kg, a = 12 m/s^2
F = ma = 10 kg * 12 m/s^2 = 120 kgm/s^2 = 120 N
The force acting on the box is equal to 120N. Therefore, option (A) is correct.
What is Newton's second law of motion?According to Newton's 2nd law of motion, The force acting on an object is equal to mass times the acceleration of that object.
This law tells that the acceleration of a moving body depends upon two variables in which one is the mass of the object which is constant while the other is the force acting on that object. The acceleration of an object increases as the mass of the object is less.
The mathematical equation of the second law of motion can be written as:
F = ma
Given, the mass of the box, m = 10 Kg
The acceleration of the box, a = 12m/s²
We can find the force acting on the box by putting the values a and m:
Force acting on the box, F = 10 ×12 = 120 N
Therefore, the force acting on the box is equal to 120 newtons.
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HELP LOOK AT THE PICTURE
Answer:
Resistance, R = 2.5 Ohms
Explanation:
Given the following data;
Voltage = 10 V
Current = 4 A
To find the resistance;
Ohm's law states that at constant temperature, the current flowing in an electrical circuit is directly proportional to the voltage applied across the two points and inversely proportional to the resistance in the electrical circuit.
Mathematically, Ohm's law is given by the formula;
[tex] V = IR[/tex]
Where;
V represents voltage measured in voltage.
I represents current measured in amperes.
R represents resistance measured in ohms.
Making resistance, R the subject of formula, we have;
[tex] R = \frac {V}{I} [/tex]
Substituting into the equation, we have;
[tex] R = \frac {10}{4} [/tex]
Resistance, R = 2.5 Ohms
Therefore, the resistance of the resistor in the electrical circuit is 2.5 Ohms.
Two forces each of magnitude 25N acts in opposite direction at the opposite end of a circular ring. If the diameter at the ring is 65cm. Calculate the magnitude of the couple acting on the ring.
Answer:
The magnitude of the couple is 16.25 Nm.
Explanation:
A couple is a force that always produce a turning effect of objects on which it is applied. It has applications in doors, taps, revolving doors etc. Couple is a two equal but opposite force applied on an object.
couple = force x length
From the given question, the couple acting on the ring can be determined as;
couple = 25 x 0.65
= 16.25 Nm
The magnitude of the couple is 16.25 Nm.
The period of a wave is 20 ms (milliseconds) and its wavelength is 4 cm. Calculate:
a) The frequency of the wave
b) The velocity of the wave.
Answer:
A. 50 Hz
B. 2 m/s
Explanation:
We'll begin by converting 20 ms to s. This can be obtained as follow:
1000 ms = 1 s
Therefore,
20 ms = 20 ms × 1 s / 1000 ms
20 ms = 0.02 s
Next, we shall convert the value of the wavelength (i.e 4cm) to m. This can be obtained as follow:
100 cm = 1 m
Therefore,
4 cm = 4 cm × 1 m / 100 cm
4 cm = 0.04 m
A. Determination of the frequency.
Period (T) = 0.02 s
Frequency (f) =?
f = 1 / T
f = 1 / 0.02
f = 50 Hz
Therefore, the frequency of the wave is 50 Hz
B. Determination of the velocity.
Wavelength (λ) = 0.04 m
Frequency (f) = 50 Hz
Velocity (v) =?
v = λf
V = 0.04 × 50
v = 2 m/s
Therefore, the velocity of the wave is 2 m/s
Ejercicio 5. En el año 1985 fue puesto en órbita el primer satélite de México, el Morelos 1. Dicho satélite orbitaba la Tierra a una altura de 35 800 km (35.8 x10^6 m).
a) Obtenga el radio de la órbita del satélite (r = R +h)
b) Calcule la velocidad del Morelos 1
c) Obtenga el periodo de rotación en horas
d) ¿Cuál es el valor de la intensidad del campo gravitacional en la órbita del Morelos 1?
Answer:
a) Obtenga el radio de la órbita del satélite (r = R +h)
Explanation:
A student says an organism that is both a first level and second level consumer is an ominvore. Is that student correct? Explain.
PLZ HELP ILL MARK BRAINLIEST!!!
If you have a spaceship that can go 20% of the speed of light, how long would it take to travel 200 light-years?
Answer:
1498962290
Explanation:
what is 2 plus 2 and 1 plus 1
Answer: 6
Explanation:
Have an awesome amazing day
Answer:
2 plus 2 = 4 AND 1 plus 1 = 2
Explanation:
I guess combine both equations if your detailed instructions allow.
A radio wave has a frequency of 3,000,000 Hz and a wavelength of 100m. What is the speed?
Answer:
300,000,000
Explanation:
Use the speed formula
Speed= wavelength x frequency
To understand the photoelectric effect physiciests should view light as having what type of properties?
Answer:
Particle
Explanation:
To understand photoelectric effect the physicists has to view light as a particle and not wave. The wave nature of the light could not explain the phenomenon of photoelectric effect.
Photoelectric effect is emission of electrons from a material when electromagnetic radiation(Light) is incident on it. These emitted electrons are called photoelectrons.
The explain this effect Einstein proposed that beam of light is can not be a wave propagating through space, but a swarm of discrete energy packets, called as photons.
What would be the Elastic Potential Energy (EPE) stored in a spring with a constant k = 200 N/m that is pulled to stretch 0.45m?
2,025 J
2,025 J
90 J
90 J
40.50 J
40.50 J
20.25 J
Answer:
During the summer, oxygen is supplied by surface winds. M/NPT 16 to 26 0.14 to 0.45 m 1/ 77.80 $ 28 Phone: 418 81-1 Fax: 418 81-2882 SZ5-2025 SZ22-200 SZ2-250 SZ24-00 12.5 x 60 12.5 x 60 12.5 x 60 8 x 10 10 x 15 10 x 20 15 x HI-950 can take measures between 0.1 C to 999.9 C/ F. K, J & T-type: The HI-9551
(Hope this is what you're asking for)
Hope this helps Have a good day
4.- Una vagoneta de 1000 kg de peso parte del reposo en el punto 1 y desciende, sin rozamiento, por la vía indicada en la figura. A) Calcular la fuerza que la vía ejerce sobre la vagoneta en el punto 2, donde el radio de curvatura es de 6 m. B) Determinar el mínimo valor del radio de curvatura en el punto 3 para salvar dicho punto
Answer:
A) 49,050 N
B) 16 m
Explanation:
Question:
El dibujo de la pregunta se obtiene de un documento titulado "TRABAJO DIVERSO Y ENERGÍA" que se encuentra en línea y se presenta aquí.
La masa dada del vagón, m = 1,000 kg
La altura del punto en el que descansa el vagón, punto 1, h₁ = 12 m
A) El radio en el punto 2, el punto más bajo, R = 6 m
La fuerza, 'N', que la vía ejerce sobre el vagón en el punto 1 viene dada por la siguiente relación;
N = El peso del vagón + La fuerza de movimiento del vagón
∴ N = m × g + m × a
Dónde;
g = La aceleración debida a la gravedad ≈ 9,81 m / s²
a = La aceleración del vagón
Observamos que para el movimiento circular, la fuerza de movimiento del vagón, m × a = La fuerza centrípeta que actúa sobre el vagón = m × v² / R
∴ m × a = m × v² / R
Dónde;
v² = La velocidad del vagón en el punto 2 = 2 · g · h₁
Por lo tanto;
N = m × g + m × a = m × g + m × v² / R = m × g + m × 2 · g · h₁ / R
∴ N = 1000 × 9,81 + 1000 × 2 × 9,81 × 12/6 = 49,050
La fuerza que ejerce el vagón en el punto 2, N = 49,050 N
B) En el punto 3, tenemos;
N = m · g - m · a₃
La fuerza centrípeta en el punto 3, m · a₃ = m · v₃² / R₃
∴ La altura en el punto 3, h₃ = 4 m
El cuadrado de la velocidad en el punto 3, v₃² = 2 · g · (h₁ - h₃)
Para que el vagón esté seguro en el punto 3, la fuerza de la vía sobre el vagón, N = 0 para que el vagón permanezca en la vía actuando
Por lo tanto;
N = m · g - m · a₃ = 0
m · g = m · a₃ = m · v₃² / R₃ = m · (2 · g · (h₁ - h₃)) / R₃
∴ R₃ = (2 · g · (h₁ - h₃)) / g = (2 · (h₁ - h₃)) = 2 × (12 - 4) = 16
El radio de curvatura en el punto 3 para que el punto sea seguro es R₃ = 16 m.
A thermometer has a scale which starts at -10 Celcius and ends at 110 Celcius. What is the value of the lower fixed point and of the upper fixed point of the scale?
Explanation:
The Kelvin, Celsius, and Fahrenheit scales are the three temperature scales that are most widely used. In most physical experiments the Celsius scale is used to take common measurements, but the Kelvin scale is used for most calculations.
Which of the following football players have the same momentum?
Ted: mass = 60 kg, velocity = 2.0 m/s
Todd: mass = 80 kg, velocity = 1.7 m/s
Tom: mass = 90 kg, velocity = 1.5 m/s
Tim: mass = 100 kg, velocity = 1.2 m/s
a. Ted and Todd
b. Todd and Tim
c. Ted and Tim
d. None of the above.
Answer: Ted and Tim
Explanation:
The football players Ted and Tim have the same momentum, which is 120 kg m/s. Hence, option C is correct.
What is momentum?The momentum is the result of a particle's velocity and mass. Force and motion, meaning it has both magnitude and direction. According to Isaac Newton's second equation of motion, the force acting on a particle equals the time rate of increase of momentum.
The impulse, which is the product of the force and the intervals (the impulse), is equal to the difference in momentum, according to Newton's 2nd law, if a steady force operates on a particle for a specific amount of time. On the other hand, a particle's momentum is the amount of time needed for a consistent action to fight it to rest.
As per the given information in the question,
The momentum of Ted is,
p = 60 × 2 = 120 kg m/s
The momentum for Todd is,
p = 80 × 1.7 = 136 kg m/s.
The momentum of Tom is,
p = 90 × 1.5 = 135 kg m/s and,
The momentum for Tim is,
p = 100 × 1.2
p = 120 kg m/s.
After comparing the momentum of all the players, Ted and Tim have similar momentum.
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mechanical advantage is always less than velocity ratio,why?
because mechanical advantage decreases due to the friction and weight of moving parts of the machine whereas the velocity ratio remains constant
hope it helps you
A laser beam travels from a telescope on Earth to a Moon and then back to the Based on this information , how far is the Moon Earth? PLEASE HELP?
A. 384,000,000
B. 58.600, 000m;
C. 1, 536, 000, 000m
D. 117, 000, 000m
what type would never freeze
Answer:
Ummmm Human's I don't understand your answer
Explanation:
Have a Nice Day
A 0.017 g coin sliding to the right at 0.255 m/s makes an elastic head-on collision with a 0.040 g coin that is initially at rest. After the collision, the 0.017 g coin moves to the left at 0.108 m/s. Find the final velocity of the other coin.
Answer:
[tex]\approx 0.154\:\mathrm{m/s}[/tex]
Explanation:
In all collisions, whether elastic or inelastic, momentum must be conserved. Therefore, we can write an equation using the conservation of momentum:
[tex]m_{c1}v_{c1,i}+m_{c2}v_{c2,i}=m_{c1}v_{c1,f}+m_{c2}v_{c2,f}[/tex]
Solving for [tex]v_{2c,f}[/tex]:
[tex]0.000017\cdot 0.255+0.000040\cdot0=0.000017\cdot (-0.108)+0.000040\cdot v_{c2,f},\\v_{c2,f}\approx \boxed{0.154\:\mathrm{m/s}}[/tex]
*Notes:
-It's important to convert g to kg, as kg is the SI unit of mass
-The negative sign in a velocity measure represents direction
-Since the velocity we solved for is positive, it implies that the direction is to the right