To calculate an object’s momentum, you would use the formula :
b. momentum = mass x velocityA 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.
Why is the use of an international system of measurement important for science?
Answer:
To avoid confusion when measuring, scientists use a shared system of measurement, called the International System of Units (SI). A common measurement system allows us to make direct comparisons instead of having to know things like how much a certain animal weighs.
Explanation:
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:
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].
Which statement describes an example of destructive interference?
A. Light shining on a DVD surface produces different colors.
B. Light shining on a surface has gaps after passing through two
slits.
C. A lamp lights an area around a corner.
D. The inside of a seashell appears to be many different colors.
Answer:
B. Light shining on a surface has gaps after passing through two
slits.
Explanation:
Destructive interference is said to occur when two waves cancel out each other. The occurrence of this phenomenon implies that the waves have equal amplitude in opposite directions.
When light shinning on a surface has two gaps after passing through two slits, then the waves have interfered destructively which led to the gaps.
Concept Development
Practice Page
20-1
Gases
1. A principle difference between a liquid and a gas is that when a liquid is under pressure, its
volume
(increases) (decreases) (doesn't change noticeably)
PHYSICS
and its density
SIGHS
(increases) (decreases) (doesn't change noticeably)
When a gas is under pressure, its volume
(increases) (decreases) (doesn't change noticeably)
and its density
(increases) (decreases) (doesn't change noticeably)
1
2. The sketch shows the launching of a weather balloon
at sea level. Make a sketch of the same weather balloon 1
when it is high in the atmosphere. In words, what is
different about its size and why?
1
1
Answer:
The answer is below
Explanation:
The main difference between a liquid and a gas is that when a liquid is under pressure, its volume "won't change apparently. The reason is that the distance between the molecules of a liquid is relatively small, and the molecules of a liquid extensively withstand the compressive forces. This is similar to the distance between the molecules of a solid."
What is the average velocity of the object from t=1s to t= 3 s?
A. 1 m/s
B. 0.5 m/s
C. -0.5 m/s
D. -1 m/s
Answer:
Explanation:
Since this is a distance v time graph, the slope of the line from 1s to 3s is the velocity. However, it looks like, at t=3, the velocity is 0, so getting the definite velocity is not going to happen. We can estimate it as closely as possible. Since the line is tending from the upper left to the lower right, the slope is negative, so the velocity is also negative. That leaves only C or D as our answers. And the slope is closer to -1 than to -5, so choice D. is the one you want.
Compare the resistance of a 1.5-Amp interior light bulb of a car (operating off a 12-V battery) to the
resistance
nce of a 100-Watt bulb operating on a 110-volt household circuitry.
Answer:
The resistance of the internal light bulb of the car is higher than that of the household circuitry.
Explanation:
Given the following data;
I. Current = 1.5 A
Voltage = 12 V
To find the resistance;
Voltage = current * resistance
12 = 1.5 * resistance
Resistance = 12/1.5
Resistance = 8 Ohms
II. Power = 100 Watt
Voltage = 110 V
To find the resistance;
Power = voltage/resistance²
100 = 110/resistance²
Cross-multiplying, we have;
100resistance² = 110
R² = 110/100
R² = 1.1
Taking the square root of both sides, we have;
R = √1.1
R = 1.05 Ohms
Therefore, the resistance of the internal light bulb of the car is higher than that of the household circuitry.
whoever guesses this will have a new frend
Answer:
B
Explanation:
Endothermic reactionIn an endothermic reaction, the products are higher in energy than the reactants. Therefore, the change in enthalpy is positive, and heat is absorbed from the surroundings by the reaction.
I WILL MARK YOU THE BRAINLIEST NO LINKS
What is the net force acting on the airplane?
740 N right -->
700 N right -->
100 N left <--
760 N right -->
Answer:
100 N left <--
Explanation:
Answer:
100 to the left
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.
for every 120 joules of energy input a car waste 85 joules, find the useful energy output of the car?
Answer:
Useful Output = 35 J
Explanation:
The useful energy output of the car must be equal to the difference between the total input energy supplied to the car and the energy wasted by the car:
Useful Output = Total Input - Waste
where,
Total Input = 120 J
Waste = 85 J
Therefore,
Useful Output = 120 J - 85 J
Useful Output = 35 J
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
What is the average kinetic energy (temperature) of
sample A
pls help me pls
pls use the points as my thank you
Answer:
A
Explanation:
In section A, she is moving in constant speed because there's a flat line which indicates speed remained same as time passed. In section c, there's a flat line but look at y axis for this one, it is 0 which means there's no speed during this part. B and D have varying speeds as there is a change in y axis variables as time passes.
Answer:
A
Explanation:
The line is straight at A because speed is constant in respect to time
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
I WILL MARK YOU THE BRAINLIEST NO LINKS
What is the difference between heat and temperature?
Heat is caused by the sun, and temperature is caused by conditions in the atmosphere.
Heat is measured in calories, and temperature is measured in joules.
Temperature measures the motion of molecules, and heat is the energy of that motion.
Temperature is measured by a thermometer, and heat is measured by a barometer.
Answer:
Temperature measures the motion of molecules, and heat is the energy of that motion.
Explanation:
Answer:
Temperature measures the motion of molecules, and heat is the energy of that motion.
Explanation:
BTB is an indicator that reacts with CO2. Based on the data that you collected in this experiment, write a conclusion to the question: Does your body breathe out CO2? State your conclusion clearly, and include the evidence from your experiment that supports it.
Answer:
Yes.
Explanation:
Yes, our body breathe out carbondioxide gas because carbondioxide gas is a waste product produced by the cells of the body during the process of respiration. The concentration of carbondioxide gas is higher in the body as compared to the outside environment and oxygen concentration is lower inside the body so diffusion occurs between the lungs and environment so the carbondioxide gas releases in the air and oxygen is trapped by the hemoglobin cells.
what does the narrator mean when he says that energy is old as time itself
Answer:
The narrator means that all the energy in the universe now was present when the universe started to form long ago
Explanation:
Answer: "The narrator means that all the energy in the universe now was present when the universe started to form long ago."
Two students are trying to decide whether or not Object A is charged. They perform the following two
tests:
Test 1: They bring Object A near a positively charged tape and observe attraction.
Test 2: They bring Object A near a negatively charged tape and observe attraction.
These two tests lead to the conclusion that Object A is
a.
charged negatively
b. charged positively
c. electrically neutral
d. charged, but with an unknown type of charge
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.
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
A student uses a 320 Hz tuning fork during a lab investigation into the speed of sound. If the air temperature in the classroom is 20
degrees Celsius, what is the wavelength of the sound waves produced by the tuning fork?
Answer:
Hecht.
Explanation:
What is the frequency of a wave moving at 1782 m/s if its wavelength is 30.2 m?
Answer:
Explanation:
Wavelength = Velocity / Frequency
= 1782/30.2
= 59 metre.
Object A has a negative charge. Object A is repelled by object B. Object B is repelled by object C and attracted to object D. What are the charges on objects B, C, & D?
Answer:
B negatively charged. C negatively charged. D positively charged.
Explanation:
If A Is negative and B is repelled by it this means that B has to have the same charge as A therefore B is negatively charged.
B is repelled By C therefore meaning they both have the same charge so C has to be negatively charged.
B is attracted to D. attraction occurs between oppositely charged objects. Therefore D has to have the opposite charge of B. Since B is negative D has to be positive in order for that attraction to occur.
I have a bottle of gas, the bottle can expand and contract. Initially the gas is at 1 kpa of pressure and a volume of 1 Liter, at a temperature of 290 K. Then the Temperature went to 390 K and the volume of 1.1 Liter. What is the New Pressure? Please help I have been asking this for weeks
Answer:
P₂ = 1.22 kPa
Explanation:
This problem can be solved using the equation of state:
[tex]\frac{P_1V_1}{T_1} =\frac{P_2V_2}{T_2}[/tex]
where,
P₁ = initial pressure = 1 KPa
P₂ = final pressure = ?
V₁ = initial Volume = 1 liter
V₂ = final volume = 1.1 liter
T₁ = initial temperature = 290 k
T₂ = final temperature = 390 k
Therefore,
[tex]\frac{(1\ kPa)(1\ liter)}{290\ k} =\frac{(P_2)(1.1\ liter)}{390\ k}\\\\P_2= \frac{(1\ kPa)(1\ liter)(390\ k)}{(290\ k)(1.1\ liter)}[/tex]
P₂ = 1.22 kPa
Which of the following is always true about the particles that make up matter? A. They can only be found in solid substances. B. They are too small to be seen with only our eyes. C. They are the same size in all substances, D. They are locked into regular arrangements.
Answer:
I am thinking D. correct me if I am wrong
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
A wave transports what
from one place to another.
A friction
OB. atoms
O C. energy
OD, amplitude
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