The free-fall acceleration on the strange planet is approximately 0.6 m/s².
To determine the free-fall acceleration on the strange planet, we can use the equation for the range (horizontal distance) of a projectile. The range of a projectile is given by:
Range = (Initial velocity^2 * sin(2θ)) / gravitational acceleration
In this case, we are given the maximum horizontal distance (Range) of 15.0 m and the initial velocity of 3.00 m/s. We need to solve for the gravitational acceleration (g).
15.0 m = (3.00 m/s)^2 * sin(2θ) / g
Let's assume that the angle (θ) at which the astronaut launches is 45 degrees. With this assumption, sin(2θ) becomes sin(90 degrees), which is equal to 1.
15.0 m = (3.00 m/s)^2 * 1 / g
Simplifying the equation:
15.0 m = 9.00 m^2/s^2 / g
To solve for g, we can rearrange the equation:
g = 9.00 m^2/s^2 / 15.0 m
g ≈ 0.6 m/s^2
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9. A 12 v battery is connected to four 5 ohm light bulbs. What is the equivalent
resistance for the bulbs in series? In parallel?
10. What would be the current through each light of problem 9?
For parallel circuit?
For series circuit?
-no bs answers
if the glass has a refractive index of 1.62 and you use tio2, which has an index of refraction of 2.62, as the coating, what is the minimum film thickness that will cancel light of wavelength 505 nm? (b) if this coating is too thin to stand up to wear, what other thickness would also work? find only the three thinnest ones.
To determine the minimum film thickness that will cancel light of wavelength 505 nm when the glass has a refractive index of 1.62 and TiO2 has an index of refraction of 2.62, we will use the formula for constructive interference:
t = (mλ) / (2n), where t is the thickness of the film, m is the order of interference, λ is the wavelength, and n is the refractive index of the coating material.
For the minimum thickness (m = 0.5), we have:
t = (0.5 * 505 nm) / (2 * 2.62) ≈ 48.09 nm
So, the minimum film thickness that will cancel light of wavelength 505 nm is approximately 48.09 nm.
For part (b), we will find the next three thinnest film thicknesses that would also work:
For m = 1.5, t ≈ (1.5 * 505 nm) / (2 * 2.62) ≈ 144.27 nm
For m = 2.5, t ≈ (2.5 * 505 nm) / (2 * 2.62) ≈ 240.46 nm
For m = 3.5, t ≈ (3.5 * 505 nm) / (2 * 2.62) ≈ 336.64 nm
Thus, the three thinnest alternative film thicknesses that would also cancel light of wavelength 505 nm are approximately 144.27 nm, 240.46 nm, and 336.64 nm.
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A change in the gravitational force acting on an object will affect the object’s
A. Mass
B. Coefficient of static friction
C. Weight
D. Inertia
c. weight.
Explanation:
I had the exact same question
a change in gravitational force affects weight. The correct answer is: c. Weight
The gravitational force is given by the law of universal gravitation
F = \(G \frac{M m}{r^2}\)
where F is the force, G the constant of universal attraction, M and m the mass of the two bodies, r the distance between the bodies
In the case that a body is lying on the surface of the planet, the distance is the radius of the planet, in this case the radius of the Earth
r = R_e
F = \(G \frac{M m}{R_e^2}\)
For convenience we can define a new variable called acceleration of gravity (g)
g = \(G \frac{M}{R_e^2}\)
we substitute
F = g m
This amount is called body weight, so a change in gravitational force creates a change in weight, therefore the correct answer is: C Weight
In conclusion a change in gravitational force affects weight, therefore the correct answer is: c. Weight
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The hight of a parallelogram is 375cm2 the base is 25cm find the hight
The height of a parallelogram with an area of 375cm² and a base of 25cm is 15cm.
We can use the formula for the area of a parallelogram, which is A = bh, where A is the area, b is the base, and h is the height. Substitute the given values of the area and the base in the formula, we get: A = bh375 = 25h Divide both sides by 25 to get the value of h, and we get: h = 15 Therefore, the height of the parallelogram is 15cm.
To find the height of the parallelogram, you can use the formula for the area: Area = base × height. You are given the area (375 cm²) and the base (25 cm).
375 cm² = 25 cm × height
To find the height, divide both sides by 25 cm:
height = 375 cm² / 25 cm
height = 15 cm
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1. Which of the following is not a component of a circuit?
a. Battery
b. Wires
c. Key
d. Filament
Answer:
key is not the component of circuit
Answer:
c. Key
Explanation:
All the others make sense.
A car is driven for 1.00 h with a velocity of 100 km/h towards the south, then for 0.50 h with a velocity of 50 km/h towards the north, and finally for 0.75 h with a velocity of 80 km/h towards the south. Find the car’s average velocity.
Answer:
Average velocity = 82.22 km/h
Explanation:
Average Velocity = (Total distance)/(Total time)
When the car was first driven for 1 h with a velocity of 100 km/h towards the south
Velocity = Distance/time
Distance = Velocity * time
Distance covered, D1 = 100 * 1 = 100 km
When the car was driven for 0.50 h with a velocity of 50 km/h towards the north
Distance = Velocity * time
Distance covered, D2 = 50 * 0.5 = 25 km
When the car was driven for 0.75 h with a velocity of 80 km/h towards the south
Distance = Velocity * time
Distance covered, D3 = 80 * 0.75 = 60 km
Total distance traveled = D1 + D2 + D3
Total distance traveled = 100 + 25 + 60
Total distance traveled = 185 km
Total time taken = 1 + 0.5 + 0.75
Total time taken = 2.25 h
Average velocity = Total distance/ total time
Average velocity = 185/2.25
Average velocity = 82.22 km/h
A golf ball of mass 0.045 kg is hit off the tee at a speed of 34m/s . The golf club was in contact with the ball for 3.50*10^-3s .
Find the impulse imparted to the golf ball.??
Find the average force exerted on the ball by the golf club.??
Express your answer to two significant figures and include the appropriate units.
The average force exerted on the ball by the golf club is 490 N.
Thus, F = p/t = 0.49 * 10³ N = 490 N.
Momentum is a metric for power and how challenging it is to stop an object. Zero momentum applies to any object that is not moving. tremendous, slow-moving objects have tremendous amounts of momentum.
A small, swiftly moving object also possesses a significant momentum. A bowling ball, for instance, has more momentum than a ping-pong ball if their velocities are equal.
This is because bowling balls are larger in mass than ping-pong balls.
Thus, The average force exerted on the ball by the golf club is 490 N.
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a force produces power p by doing work w in a time t what power will be produced by a force that
The power that will be produced by such a force is 12 times the initial power.
What is power?Power can be defined as the time rate of doing work. Also power can be defined as the energy expended per unit time.
Mathematically, the formula for power expended by an object is given as;
p = E / t
where;
p is the powerE is the energyt is the timep = w / t
where;
w is the work doneWhen a force does six times as much work in half as much time, the power becomes;
p' = (6w) / (¹/₂t)
p' = (2 x 6w) / t
p' = 12w/t
p' = 12 (p)
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The complete question is below:
a force produces power p by doing work w in a time t what power will be produced by a force that does six times as much work in half as much time?
You own a geotechnical engineering firm in central California and your company has been hired to conduct a slope stability analysis. Consider a 10.0 m-thick mass of regolith (note that this is already measured perpendicular to the slope – so pay attention where you might change the cosine term) sitting on top of a bedrock surface with a slope of 14 degrees. A home is located at the top of this slope (and set back from the edge only 20 m). Upon an initial visit, you determine that the regolith is unsaturated. You also estimate the following additional parameters for this site:
regolith cohesion = 1100 N/m2
regolith angle of internal friction = 15 degrees
density of regolith = 2200 kg/m3 (density of water = 1000 kg/m3 )
a. What is the value for the Factor of Safety? Show your work. Would you consider the slope currently stable? Explain your answer. 4 pts
b. How does the factor of safety change if the water depth increases by 2 m? Does the slope become more or less stable, and by how much? How does this compare to the example above (Part a.)? 3 pts
c. How does the factor of safety change if the angle of internal friction increases by a factor of 2 (this would be the equivalent of changing the material from loose sand to semi-consolidated sediment)? Does the slope become more stable or less stable? 3 pts
d. How does the factor of safety change if the slope is steeper by a factor of 2? Does the material become more or less likely to fail? 3 pts
e. What advice would you give to the homeowners regarding the safety of their home? What remediation can you suggest if any is needed? 3 pts
The factor of safety for the slope stability analysis needs to be determined for a regolith slope in central California. The parameters provided include regolith cohesion, angle of internal friction, and regolith density. The analysis involves evaluating the stability of the slope under different conditions, such as changes in water depth, angle of internal friction, and slope steepness. Recommendations for the homeowners regarding the safety of their homes and potential remediation measures will also be provided.
To calculate the factor of safety, we need to consider the forces acting on the slope. The driving force is the weight of the regolith, which can be calculated by multiplying the density of the regolith by the volume of the slope. The resisting force is the shear strength of the regolith, which is determined by the cohesion and angle of internal friction. The factor of safety is the ratio of the resisting force to the driving force.
a. To determine the factor of safety, we can use the given parameters and calculate the driving force and resisting force. By dividing the resisting force by the driving force, we can obtain the factor of safety. If the factor of safety is greater than 1, it indicates that the slope is stable. If it is less than 1, the slope is considered potentially unstable.
b. If the water depth increases by 2 m, it adds additional weight to the slope, increasing the driving force. This decrease in the factor of safety suggests a less stable slope compared to the initial scenario.
c. If the angle of internal friction increases by a factor of 2, it enhances the shear strength of the regolith. This increase in the factor of safety indicates a more stable slope.
d. If the slope becomes steeper by a factor of 2, it increases the driving force. This decrease in the factor of safety suggests a less stable slope.
e. Based on the analysis, it is important to advise the homeowners that the slope is currently unstable, considering the factor of safety is less than 1. Remediation measures may include slope stabilization techniques such as installing retaining walls, soil reinforcement, or drainage systems to manage water infiltration and reduce driving forces. It is recommended to consult with a geotechnical engineer to develop a comprehensive slope stability plan for the safety of the home.
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Which element forms the skeleton of this polymer? O carbon O copper O hydrogen O oxygen
Answer:
its carbon
Explanation:
I'm doing to questions right now
Answer:
Carbon
Explanation:
Got it right on edg
amy needs 5.0 v for some integrated circuit experimetns. she ses a 6.0-v battery and two resistors to make a voltage divider. one resistor is 330 ohlms. she decides to make the other resistor smaller. what value should it have?
The value of the second resistor needed for Amy's voltage divider to provide 5.0 V
To determine the value of the second resistor needed for Amy's voltage divider to provide 5.0 V, we can use the voltage divider formula:
V_out = V_in * (R2 / (R1 + R2))
Where V_out is the desired output voltage (5.0 V), V_in is the input voltage from the battery (6.0 V), R1 is the value of the first resistor (330 ohms), and R2 is the value of the second resistor.
Rearranging the formula to find R2, we get:
R2 = (V_out * (R1 + R2)) / V_in
Plugging in the known values and solving:
R2 = (5.0 * (330 + R2)) / 6.0
R2 = (1650 + 5R2) 6.0
R2 = 275 + 5/6R2
R2 - 5/6R2 = 275
0.1667 R2 = 275
R2 = 165
Solving for R2, we find that its value should be approximately 165 ohms.
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THE
Ammeter
А
1
592
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12
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А
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1002
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Circuit 2
Answer:
child i dont even know the answer for this question
Explanation:
I need help with this question and please show the whole work
and do it asap
If a star displays \( 0.0190 \) arcseconds of parallax, then long would it take to travel to that star if traveling at half the speed of light?
The first step is to convert the parallax angle of the star to distance. We can use the formula: parallax angle in arc seconds = (distance to star in parsecs)^-1 We can rearrange this equation to isolate distance: d = (parallax angle)^-1 Therefore, the distance to the star in parsecs is:
d = (0.0190 arcseconds)^-1 = 52.6 parsecs Next, we need to find the actual distance in meters. One parsec is equivalent to 3.09 × 10^16 meters. Therefore, the distance to the star in meters is: distance = (52.6 parsecs)(3.09 × 10^16 meters/parsec) = 1.63 × 10^18 meters Now, we can use the formula for time: d = vt Solving for time: t = d/v We are told to travel at half the speed of light, which is v = 0.5c, where c is the speed of light.
Therefore, the time to travel to the star is: t = (1.63 × 10^18 meters)/(0.5c) Using the speed of light, c = 3.00 × 10^8 m/s, we get: t = (1.63 × 10^18 meters)/(0.5 × 3.00 × 10^8 m/s)t ≈ 10.9 years Therefore, it would take about 10.9 years to travel to the star if traveling at half the speed of light.
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A child swings back and forth on a swingset 40 times in 50 seconds. Find their frequency.
Answer:
.8
Explanation:
40 times is 40 'cycles' in 50 seconds
40 / 50 = .8 Hz ( f= Hz is cycles per second)
james crosses a river that is flowing west at 5 m/s. if he paddles his boat at 2 m/s north, what is his velocity with respect to the shore?
He is moving toward the coast at a velocity of 13 m/s. James can cross a river flowing at 5 m/s in the west if he paddles his boat at 2 m/s north. There isn't any acceleration up.
The rate of change in an object's position relative to a frame of reference is called velocity, and it depends on time. An object's speed and direction of motion are specified by its velocity. A crucial idea in kinematics is velocity. The pace at which an object's position changes in relation to a frame of reference and time is referred to as its velocity.
v2 - u2 = 2as 5 - u2 = 144 - 144 + 25 = 169 U = 13 m/s
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in the two-string problem, tying the pliers to one of the strings best represents a(n) state. a. functional fixedness b. goal c. intermediate d. initial
The two-string problem is a classic problem in psychology and problem-solving. It involves trying to tie two strings that are out of reach of each other. The solution to the problem is to tie one of the strings to a plier or another heavy object and use it to swing the object towards the other string so that they can be tied together.
In this scenario, tying the pliers to one of the strings represents an intermediate state in the problem-solving process. This is because it is not the initial state, which is when both strings are out of reach of each other, but it is also not the final goal state, which is when both strings are tied together. Instead, it is a step that is taken in order to achieve the final goal state.
This problem highlights the importance of overcoming functional fixedness, which is the tendency to see objects only in terms of their typical function. By thinking creatively and using the pliers in a non-traditional way, the problem can be solved. Therefore, the answer to the question is (c) intermediate.
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The radius of the base of a wooden cylinder 2m and its altitude is 7m. What is its mass?
Answer:
88 m ^2
Explanation:
help....................
The percentage change in any economic variable, including the consumer price index (cpi), is measured by which equation?
The percentage change in any economic variable, including the Consumer Price Index (CPI), is typically measured using the following equation:
Percentage Change = ((New Value - Old Value) / Old Value) * 100
This equation calculates the difference between the new value and the old value, divided by the old value, and then multiplied by 100 to express it as a percentage.
To specifically calculate the percentage change in the CPI, you would substitute the respective values of the CPI for "New Value" and "Old Value" in the equation. This allows you to determine the percentage change in the CPI over a given period, indicating the inflation or deflation rate in the economy.
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Please help will be marked most brainlist !!!
Which of the following is not a true statement?
Answer:
d
Explanation:
all of the rest are true
simple em waves a radio station in golden broadcasts at a frequency of 826 khz. at a point some distance from the transmitter, the magnetic-field amplitude of the electromagnetic wave from the station is 4.8 e-11 t. Find the electric field and wavelength.
The electric field of the simple EM radio wave is 14.46× 10⁻³ NC⁻¹ and the wavelength of the same wave is 363.1 m.
Frequency of wave = λ = 826 Khz
Amplitude of the wave = B = 4.8 × 10¹¹
Speed of light = c = v = 3 × 10⁸ m/s
Wavelength = λ =
= Using speed of EM wave equation,
= c = λ
= 3 × 10⁸ = 826 × 10³ λ
= λ = 363.1m
Now, the electric field of the EM radio wave is = E =
= Using electric field of wave equation E = Bv,
= E = 4.8 × 10¹¹ × 3 × 10⁸
= E = 14.46× 10⁻³ NC⁻¹
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Is speed an increase in rate of which something moves
Answer:
Speed most often describes acceleration or a high rate of motion. ... As a verb, it means to “move along quickly,” like how you speed around on your bike. A fun fact: while speed refers to the distance traveled by an object during a specific amount of time, velocity describes that distance, but in a specified direction.
Explanation:
Explanation:yes, speed an increase in rate of which something moves
If the inside of a container has a surface area of 20cm², what will be the pressure on each square inch of the container if 117.6kg of force are applied to the container?
Answer:
Explanation:
given :-
force applied = 117.6N
Area = 20 m^2
Pressure =?
solution:-
Pressure = Force / Area
= 117.6 N / 20 m^2
= 5.88 Pascals
Hope it helps :D!
Explanation:
Can someone please help me? If somebody pushes a cart with 4N of force and the cart moves a distance of 2 meters, how much work did they do?
Answer:
Work done, W = 8 J
Explanation:
We have,
Force acting on the cart is 4 N
Cart covers a distance of 2 m
We need to find the work done by the cart. Work done by an object is given in terms of force and displacement. It can be given by :
\(W=Fd\\\\W=4\ N\times 2\ m\\\\W=8\ J\)
So, the work done by the cart is 8 J.
what is the most common manifold pressure for propane furnaces
The most common manifold pressure for propane furnaces is typically around 10.5 inches of water column (WC).
Manifold pressure is the pressure of the gas in the gas valve while it is not being consumed by the burners. The gas valve in a propane furnace provides a steady supply of fuel to the burners based on the pressure present in the manifold. The most common manifold pressure for propane furnaces is approximately 10.5 inches of water column (WC). This pressure can be increased or decreased slightly to suit the specific needs of the appliance, but it is not recommended to go beyond the limits established by the manufacturer, as this may cause a malfunction or even a safety hazard. In addition to propane furnaces, other gas appliances such as water heaters, ovens, and stoves also have a manifold pressure. The specific pressure requirements for each appliance can be found in the manufacturer's instructions or on the data plate attached to the appliance.
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The angular speed of a rotating platform changes from ω0 = 4.4 rad/s to ω = 8.8 rad/s at a constant rate as the platform moves through an angle Δθ = 5.5 radians. The platform has a radius of R = 34 cm.
A) Calculate the angular acceleration of the platform α in rad/s2.
B) Calculate the tangential acceleration at in m/s2 of a point on the surface of the platform at the outer edge.
C) Calculate the final centripetal acceleration ac, in m/s2, of a point at the outer edge of the platform.
MAIN ANSWER in 30 WORDS:
A) α = 8.8 rad/s^2; B) at = 118.8 m/s^2; C) ac = 413.52 m/s^2.
EXPLANATION PART IN 120 WORDS:
A) Angular acceleration α can be calculated using the formula α = (ω - ω0)/Δθ. Substituting values, we get α = (8.8 - 4.4)/5.5 = 0.8 rad/s^2.
B) Tangential acceleration at can be calculated using the formula at = Rα, where R is the radius of the platform. Substituting values, we get at = 34 × 0.8 = 27.2 m/s^2.
C) Final centripetal acceleration ac can be calculated using the formula ac = Rω^2, where ω is the final angular velocity. Substituting values, we get ac = 34 × 8.8^2 = 413.52 m/s^2.
Therefore, the angular acceleration is 0.8 rad/s^2, the tangential acceleration at the outer edge of the platform is 27.2 m/s^2, and the final centripetal acceleration at the outer edge of the platform is 413.52 m/s^2.
The angular acceleration of the platform is 0.8 rad/s^2, the tangential acceleration at the outer edge of the platform is 27.2 m/s^2, and the final centripetal acceleration at the outer edge of the platform is 2617.6 m/s^2.
A) The angular acceleration α of the platform can be calculated using the formula: α = (ω^2 - ω0^2) / (2Δθ). Plugging in the values, we get α = (8.8^2 - 4.4^2) / (2 * 5.5) = 44/11 rad/s².
B) The tangential acceleration at of a point on the outer edge can be calculated using the formula: at = α * R. Converting R to meters, we get R = 0.34 m. Thus, at = (44/11) * 0.34 = 1.36 m/s².
C) The final centripetal acceleration ac can be calculated using the formula: ac = ω^2 * R. Plugging in the values, we get ac = 8.8^2 * 0.34 = 26.424 m/s².
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The assumption of a constant expansion rate predicts the universe to be _______ than we observe.
a. younger
b. older
c. denser
d. smaller
The assumption of a constant expansion rate predicts the universe to be older than we observe.
What is constant expansion rate of universe?
Most recently, by comparing the apparent brightness of distant standard candles to the redshift of their host galaxies, the expansion rate of the universe has been measured to be H0 = 73.24 ± 1.74 (km/s)/Mpc.
An analysis of 13.5 thousand million-year-old X-rays, captured by ESA's XMM-Newton satellite, has shown that either the Universe may be older than astronomers had thought or that mysterious, undiscovered 'iron factories' litter the early Universe.
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Explain in detail how clouds form.
Answer:
Clouds are formed when moist air rises upward . As the air rises , it becomes colder. Eventually the air can't hold all of the water vapour in it, and some of water vapour condenses to form tiny water droplets... Clouds form at wide range of altitudes , from near the ground to very high in the atmosphere.
a car having a mass of 10kg accelerates from 10m/s square to 16 m/s square in t seconds? What is the force exerted by the car?
Answer:
The answer is 160 N
Explanation:
I did the test
Hope this helps :)
the thumb is what to the phalanges?
Answer:
A thumb only has one joint and two phalanges. The thumb is referred to as “the big finger".
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