Answer:
The number of protons in the nucleus of the atom is equal to the atomic number (Z). The number of electrons in a neutral atom is equal to the number of protons. The mass number of the atom (M) is equal to the sum of the number of protons and neutrons in the nucleus.
Explanation:
A 75.6-kg circus performer is fired from a cannon that is elevated at an angle of 37.2° above the horizontal. The cannon uses strong elastic bands to propel the performer, much in the same way that a slingshot fires a stone. Setting up for this stunt involves stretching the bands by 2.70 m from their unstrained length. At the point where the performer flies free of the bands, his height above the floor is the same as the height of the net into which he is shot. He takes 2.34 s to travel the horizontal distance of 26.9 m between this point and the net. Ignore friction and air resistance and determine the effective spring constant of the firing mechanism.
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.
9. How is spring potential energy determined from a force versus position graph?
Answer: The potential energy associated with a mass attached to a spring depends on how much the spring is stretched or compressed. ... The gravitational force on the mass is −mg (“−” because the force points down). The force is the negative of the slope on the potential energy versus position graph.
Explanation:
:)
By getting the data from the graph of force versus displacement we can calculate the Potential energy of the spring.
What will be the potential energy?As we know that potential energy is defined as the energy possessed by the body due to its position with respect to other positions.
For an example the potential energy of an object if it is placed at height h will be due to the gravitational acceleration of the earth and is given by [tex]PE=mgh[/tex]
Similarly, for a spring-mass system, the potential energy will be due to the weight of the mass that will be the force exerted by the mass on the spring so there will be an extension in the spring.
So this extension will be found out by the force and displacement graph as the position of the mass attached to the spring goes down so the potential energy can be calculated as the
[tex]PE= F\times X[/tex]
[tex]F=mg[/tex] weight of the mass
X= deflection of the spring
Thus by getting the data from the graph of force versus displacement we can calculate the Potential energy of the spring.
To know more about potential energy follow
https://brainly.com/question/24933254
When you are describing the rate that a race car goes around a track, should you use the term speed or velocity to describe the motion
Answer:
Speed
Explanation:
Speed is a description of how fast an object moves; velocity is how fast and in what direction it moves. In physics, velocity is the speed in a given direction.
Answer:
speed
Explanation:
Speed is a description of how fast an object moves; velocity is how fast and in what direction it moves. In physics, velocity is speed in a given direction. When we say a car travels at 60 km/h, we are specifying its speed. When we say a car moves at 60 km/h to the north, we are specifying its velocity.
A 4.03 x 10-5 F capacitor stores 5.15 x 10-3 J of energy. What is the voltage across the capacitor?
Answer:
V = 0.06255 Volts
Explanation:
Given the following data;
Capacitance = 4.03 * 10^{-5} F
Energy = 5.15 * 10^{-3} J
To find the voltage across the capacitor;
Mathematically, the energy stored in a capacitor is given by the formula;
E = ½cv²
Where;
C is the capacitor
E is the energy stored
v is the voltage.
Substituting into the formula, we have;
5.15 * 10^{-3} = ½ * 4.03 * 10^{-5} * v²
0.00515 = 0.00002015 * v²
V² = 0.00002015/0.00515
V² = 0.003912
Taking the square root of both sides, we have;
V = √0.003912
V = 0.06255 Volts
Answer:
16 V
Explanation:
someone said 16 V in the comments and it is the correct answer for acellus.
A car has a speed of 20 m/s. If the speed of the car increases to 30 m/s in 5 seconds, what is the car’s acceleration?
2
Explanation:
2 times 5 is 10/ 20+10=30
The Hubble Space Telescope has a mass of 1.16*10^ 4 kg and orbits the Earth at an altitude of 5.68 * 10 ^ 5 above Earth's surface. Relative to infinitydetermine the potential energy the telescope at this location. Would the formula be Ep=-Gm1m2/r or positive G since it’s relative to infinity
Answer:
[tex]E=8.13\times 10^{12}\ J[/tex]
Explanation:
Given that,
The mass of a Hubble Space Telescope, [tex]m_1=1.16\times 10^4\ kg[/tex]
It orbits the Earth at an altitude of [tex]5.68\times 10^5\ m[/tex]
We need to find the potential energy the telescope at this location. The formula for potential energy is given by :
[tex]E=\dfrac{Gm_1m_e}{r}[/tex]
Where
[tex]m_e[/tex] is the mass of Earth
Put all the values,
[tex]E=\dfrac{6.67\times 10^{-11}\times 1.16\times 10^4\times 5.97\times 10^{24}}{5.68\times 10^5}\\\\E=8.13\times 10^{12}\ J[/tex]
So, the potential energy of the telescope is [tex]8.13\times 10^{12}\ J[/tex].
the shock absorbers in a car act as a big spring with k= 21900 N/m. when a 92.5 kg person gets in, how far does the spring stretch?
Answer: 0.04139m
Explanation:
First, we need to calculate the weight of the man which will be:
Weight = mass × acceleration due to gravity
Weight = mg
Weight = 92.5 × 9.8
Weight = 906.5N
Then, we calculate the force which will be:
F = kx
mg = kx
x = mg/k
x = 906.5/21900
x = 0.04139m.
The spring stretched for 0.04139m.
What is the difference between a counting loop and an infinite loop?
What is the net force in the following diagram?
Mr. Vinny is somehow charged with +2.0 C, a HORRENDOUS amount of charge. Unfortunately for Mr. Vinny, a sledgehammer has been charged with –10.0 C. Since opposites attract, the sledgehammer flies at Mr. Vinny. How far away is the sledgehammer when the force between them is 4.50x1010
Answer:
Aytyhjnjdfjjdhjhgkhgjkbghnnnnjjjjkkkkkkkkk
What is the difference between Mass and Weight?
Answer: Mass is the quantity of matter in an object whereas weight is the force of gravity on an object.
Weight is dependent on gravity while mass is independent on gravity
Explanation:
h2+o2 - h2o mass
Please help
H2O2 H2O
H2 + O2 → H2O. Word equation: Hydrogen gas + Oxygen gas → water. Type of Chemical Reaction: For this reaction we have a Combination reaction. Balancing Strategies: For this reaction it is helpful to start by changing the coefficient in front of H2O and so that you have an even number of oxygen atoms.
Consider three point charges, q1 = 4.50 C, q2 = 4.50 C, and q3 = 6.30 C, located at the corners of an isosceles triangle. The charges q1 and q2 are 5.00 m apart and form the base. The triangle is 3.50 m high, and q3 is located at the top. Calculate the magnitude and direction of the resultant force on q3.
Answer:
See explanation below
Explanation:
In this case, let's draw the triangle so we can see how the resultant force would be.
In the picture below, you have the drawn, and the procedure to solve this.
Hope this helps
10.
Planets that are more than 1 AU from earth include:
a. Mercury, Mars, Pluto, Saturn
b. Mercury, Venus, Earth, Mars
C. Earth, Mars, Jupiter, Saturn, Uranus, Neptune
d. Jupiter, Saturn, Uranus, Neptune
Answer:
C
Explanation:
Earth Mars Jupiter Saturn,Uranus, naptune
What is the average kinetic energy (temperature) of
sample A
What is the importance of centre of curvature in spherical mirror?
Answer:
Rays of light parallel to the principal axis of a concave mirror will appear to converge on a point in front of the mirror somewhere between the mirror's pole and its center of curvature. That makes this a converging mirror and the point where the rays converge is called the focal point or focus .
Explanation:
hopefully that helps you
Answer:
Rays of light parallel to the principal axis of a concave mirror will appear to converge on a point in front of the mirror somewhere between the mirror's pole and its center of curvature. That makes this a converging mirror and the point where the rays converge is called the focal point or focus .
Explanation:
Hope you have a good day :)
i will give 50 pts and brainliest
Please helpp!!!!
What do you think we need to do to minimize climate changes growing impact?
Answer:
Limiting the use of fossil fuels such as oil, carbon and natural gas and replacing them with renewable and cleaner sources of energy, all while increasing energy efficiency
Explanation:
what is hypermatropia?
Answer:
Hypermetropia (hyperopia, long-sightedness or far- sightedness) is a form of refractive error in which parallel rays of light coming from infinity are focused behind the light sensitive layer of the retina, when the eye is at rest.5 Dec 2017
Explanation:
thank me later
How do the properties of the planets change as you move away from the sun?
Answer:
as we move away from the sun the velocity of the planet decreases
how do atoms relate to the periodic table?
Answer:
The organization of electrons in atoms explains not only the shape of the periodic table but also the fact that elements in the same column of the periodic table have similar chemistry. The same concept applies to the other columns of the periodic table.
what's the main function for the human digested system
Answer:
The function of the digestive system is digestion and absorption. Digestion is the breakdown of food into small molecules, which are then absorbed into the body.
Explanation:I hope it helped
A ray of light has a wavelength of 284 nm in glass (n = 1.51). What is its wavelength in a vacuum? (Remember, the wavelength is longer in a vacuum.) (Unit = nm)
Answer:
428.8 nm
Explanation:
Mr Mann cut a cucumber. Mr Mann said, you have performed a chemical change. Is he right?
Answer:
No.
Explanation:
The cut cucumber is still a cucumber.
Answer:
Nope.
Explanation:
Chemical change is transforming the cucumber into a pickle. However, you need vinegar, so it isn't a full change.
Therefore, Mr. Mann would not be right either way, because all he did was cut a cucumber, and he should probably get some help with all this "chemical change".
A wave transports what
from one place to another.
A friction
OB. atoms
O C. energy
OD, amplitude
What would be the effect of an increase in greenhouse gas concentration in the atmosphere on Earth's average temperatures?
Answer:
See Explanation
Explanation:
Greenhouse gases are those gases that are believed to trap infrared rays close to the earth surface. Infrared radiation is otherwise known as heat rays due its heating effect.
Increase in the concentration of these greenhouse gases will ultimately lead to a gradual increase in the earth's average temperature. This phenomenon is referred to as global warming.
How do humans depend on geochemical cycles?
A. to provide clean water, breathable air, and soil that is capable of supporting crops.
B. to provide food and oxygen so organisms can survive
C. to help conserve resources for future use
Answer:
A
Explanation:
Because we need clean water to obtain a healthy diet, need oxygen which plants provide through photosynthesis and soil is important for food.
What is produced by AC and DC generators?
A. mechanical energy
B. chemical energy
C. electrical energy
Answer:
I'm positive the Answer to this would be C :)
what force is needed to bring a 1.10 × 10^3 kg car moving at 22 m/s to a halt in 20s?
Answer:
A very very big hole and some ramps
Polarization is the action of restricting the vibrations of a transverse wave wholly or partially to one direction.
O True
O False
If the distance between the magnets tripled what would happen to the force between the 2 magnets?
Answer:
Our Repelling Force Magnet Calculator shows the repelling force on a magnet that happens when another magnet of the same size is placed at some distance from it, with like poles facing one another. The force depends on the distance between the magnets. The farther apart the magnets are, the weaker the force.
Explanation: