The magnitude of the velocity of the supply when it lands is zero, because the supply is dropped from the plane and it is not actively powered.
When an object is dropped from a moving plane, it experiences the acceleration due to gravity which causes it to decelerate. The initial velocity of the dropped object is equal to the velocity of the plane vertically downwards. In this case, the plane is moving at 80 m/s and the supply is being dropped 180 m below.
The initial velocity of the supply is the velocity of the plane (80 m/s) vertically downward, but as it falls it will experience the constant acceleration due to gravity (9.8 m/s²).
However, as the supply falls, the force of gravity will cause it to continuously slow down until it reaches a velocity of 0 m/s just before it hits the ground. This means that the magnitude of the velocity of the supply when it lands is zero. The initial velocity of the supply was the velocity of the plane, but as it fell, it lost speed until it reached 0 m/s.
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what force other than gravity controls the orbits of planets or moons?
Other than gravity, inertia is the force that governs a planet's or moon's orbit.
What distinguishes inertia force from gravitational force?The values of an object's inertial weight and gravitational mass are the same, but their methods of measurement are different. While gravitational mass quantifies the force acting on an item in a gravitational field, inertial mass is determined by measuring an organism's resistance to change in velocity.
The strongest force is inertia, right?Inertia was ranked as the second-most potent force inside the universe by Kristofferson (behind gravity). Although other forces that are stronger than both have since been discovered, it is still one of most significant and powerful forces in the cosmos.
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The resistance of the connecting wires in a series circuit is generally?
The resistance of connecting wires in a series circuit is generally additive. This means that the total resistance of the circuit is equal to the sum of the individual resistances of each wire in the circuit.
A series circuit is an electrical circuit in which components are connected end-to-end along a single pathway. In a series circuit, the current flows through each component in sequence and must flow through all components to complete the circuit. The current is the same through each component and the total resistance of the circuit is equal to the sum of the resistances of the individual components.
One of the key characteristics of a series circuit is that if one component fails, the entire circuit will be disrupted. This means that a single component failure can render the entire circuit inoperable. It is for this reason that series circuits are generally not used in critical applications, as the failure of a single component can result in a complete circuit failure.
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in this problem, you will apply kinematic equations to a jumping flea. take the magnitude of free-fall acceleration to be 9.80 m/s2 . ignore air resistance.
A flea jumps straight up to a maximum height of 0.450 m . What is its initial velocity v0 as it leaves the ground?
How long is the flea in the air from the time it jumps to the time it hits the ground?
The flea's initial velocity while jumping straight up is 2.96 m/s.
What does acceleration vs. velocity mean?The rate at which in displacement is known as velocity. Acceleration is the measure of a change in velocity. Due to the fact that it includes both magnitude and direction, velocity is an vector quantity. Acceleration is a vector quantity because it is the speed at which velocity varies.
v² = u² – 2gh (since the ball is going against gravity)
0² = u² – (2 × 9.8 × 0.45)
0 = u² – 8.82
u² = 0 +8.82
u² = 8.82
u = √8.82
u = 2.96m/s
Thus, the initial velocity is 2.96m/s
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if you weigh 700 n on the earth, what would you weigh on the surface of a neutron star that has the same mass as our sun and a diameter of 20.0 km ?
If you weigh 700 n on the earth, your weight on the surface of the neutron star would be approximately 9.47 × 10¹³ N.
To calculate the weight on the surface of a neutron star:
W = m * g
Here, it is given that:
Weight on Earth (W) = 700 N
Mass of the Sun (M) = 1.989 × 10³⁰ kg
Diameter of the neutron star (D) = 20,000 m
The mass (m) can be calculated using the formula:
m = W / g
Substituting the given values:
m = 700 N / 9.8 m/s²
≈ 71.43 kg
Now, we can calculate the acceleration due to gravity (g) on the surface of the neutron star using the formula:
g = G * (M / R²)
Since the diameter is given, we can calculate the radius (R) using:
R = D / 2
Substituting the values:
R = 20,000 m / 2 = 10,000 m
Now we can calculate g:
g = (6.67430 × 10⁻¹¹ N m²/kg²) * [(1.989 × 10³⁰ kg) / (10,000 m)²]
≈ 1.325 × 10¹² m/s²
Finally, we can calculate the weight on the surface of the neutron star (W'):
W' = m * g
≈ (71.43 kg) * (1.325 × 10¹² m/s²)
≈ 9.47 × 10¹³ N
Thus, your weight on the surface of the neutron star would be approximately 9.47 × 10¹³ N.
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if a sine wave is sent through a guitar amp, and this guitar amp is being recorded by two microphones, one of which is 3.0 feet further from the guitar amp than the other, what is the frequency of the original sine wave if the recorded sine waves have a phase offset of 155 degrees? assume the speed of sound in air is 1,126 ft/s.
The frequency of the original sine wave is 247.6 Hz.
The time difference between the identical points inside the wave cycles of the two sounds (the peaks or positive-going zero crossings, for example) represented as a fraction of one wave cycle gives the phase difference between two sound waves of the same frequency travelling past a fixed location.
The phase difference between two signals recorded by two microphones at a given frequency is directly proportional to the difference in their distances from the source.
If the distance difference is d, and the speed of sound is v, then the phase difference between the two signals is given by:
[tex]$$\Delta\phi = 2\pi \frac{f}{v} d$$[/tex]
where f is the frequency of the original sine wave.
Given that the recorded sine waves have a phase offset of 155 degrees,
we can write:
[tex]$$\Delta\phi = 155^\circ = 2\pi \frac{f}{v} d$$[/tex]
Solving for f, we find:
[tex]f = \frac{v}{2\pi} \frac{\Delta\phi}{d} \\\\= \frac{1,126 \text{ ft/s}}{2\pi} \frac{155^\circ}{3.0 \text{ ft}} \\\\= 247.6 \text{ Hz}[/tex]
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a ship travels 55 km on a bearing of 27 degree, then travels on a bearing of 117 degree for 140 km. find the distance traveled from the starting point to the ending point.
The distance traveled from the starting point to the ending point is 159.3 km.
Calculating the problem:
cos 27 = 0.88388
sin 27 = 0.46795
cos 117 = -0.38268
sin 117 = 0.92388
d² = 55² + 140² - 2 × 55 × 140 × cos(27 - 117)
We use the formula cos(A - B) = cosAcosB + sinAsinB
Substituting these values into the equation:
we get, d = 159.3
Therefore, the distance traveled from the starting point to the ending point is 159.3 km.
How can the traveled distance be determined?The area beneath a velocity-time graph shows the distance traveled. Speed and time (or velocity x time) determine distance because speed equals distance/time.
Distance: The total area that an object covers while moving is called its distance. Distance is a scalar number that does not have a direction.
The distance traveled is the path a body takes to get from one location to another in a predetermined amount of time and at a predetermined speed.
Displacement is the movement of an object from its starting position to its final position. Because displacement has a direction, it may not accurately represent travel distance. It is a displaced vector quantity.
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sara, who weighs 69.0 kg, enjoys a 513-calorie (513 kcal) breakfast of pancakes loaded with fruits, cream, and syrup. she wishes to maintain her weight, so she decides to work out before going to her fitness group's weekly meeting. if the height of a single stair is 12.0 cm, and her body is only 33% efficient in converting chemical energy to mechanical energy, determine the number of stairs sara must climb to cancel out the calories consumed.
Sara must climb approximately 7000 stairs to cancel out the 513-calorie breakfast she consumed.
First, we need to convert the number of calories consumed (513 kcal) into units of energy in joules.
1 kcal = 4184 J
So, 513 kcal = 513 * 4184 J = 2143172 J
Next, we need to determine the work done by Sara in climbing stairs, which is given by the equation:
W = m * g * h
Where W is the work done, m is Sara's mass (69.0 kg), g is the acceleration due to gravity (9.8 m/s^2), and h is the height of the stairs (12.0 cm converted to meters).
h = 12.0 cm = 0.12 m
So, the work done by Sara in climbing one stair is:
W = 69.0 kg * 9.8 m/s^2 * 0.12 m = 822.56 J
Since the efficiency of Sara's body in converting chemical energy to mechanical energy is only 33%, the number of stairs she needs to climb to cancel out the calories consumed can be calculated as follows:
n = 2143172 J / (822.56 J / 33%)
= 2143172 / (822.56 * 0.33)
= 6999 stairs (approximately 7000 stairs)
Mechanical energy is the sum of kinetic energy and potential energy in a mechanical system. It refers to the energy associated with the motion and position of an object. Kinetic energy is the energy an object possesses due to its motion, while potential energy is the energy stored within an object due to its position relative to other objects.
Mechanical energy can be transferred from one object to another, for example, when two objects collide. It can also be transformed from one form of energy to another, such as when a roller coaster car converts potential energy into kinetic energy as it moves downhill.
Conservation of mechanical energy states that in a closed system, the total mechanical energy remains constant as long as no external forces are acting upon the system. This principle is commonly used in physics to understand the behavior of physical systems and to solve problems related to energy and motion.
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A small propeller airplane can comfortably achieve a high enough speed to take off on a runway that is 1/4 mile long. A large, fully loaded passenger jet has about the same acceleration from rest, but it needs to achieve twice the speed to take off.What is the minimum runway length that will serve? Hint: You can solve this problem using ratios without having any additional information.
Express your answer to two significant figures and include the appropriate units.
The supplied statement states that the smallest runway width that will work is one mile.
What is speed, and what is the scientific term for it?Speed refers to the rate which a distance varies over time. It has a time-distance dimension. The fundamental basis of time as well as the fundamental element of length are therefore combined to create the SI unit of velocity. The speed meter generated from Si is the meter per second (m/s). If you knew how far an object travels in a certain amount of time, you can calculate its speed.
To resolve this issue, we can apply the motion equation shown below:
v²-0²=2aΔs
Δs=v²/2a
We can determine the distance ratio from here.
Δs1/Δs2=(v1/v2)² a2/a1
Since the second aircraft has twice the velocity but the same acceleration
Δs1/Δs2=0.5² * 1
Δs2=4Δs1=4*(1/4)=1 mile
Therefore, a mile is the minimum runway length.
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