Amit's total displacement can be calculated by using vector addition and the Pythagorean theorem to account for the different directions of his two journeys.
Explanation:To calculate Amit's total displacement, we need to treat his journey in two segments. The first segment is his displacement from San Francisco to Washington D.C., a flat displacement of 5600km due east. The second segment is his displacement from Washington D.C. to Boston, a displacement of 900km at an angle of 55.0° east of north.
Because displacement is a vector, meaning it has both magnitude (distance) and direction, we can't simply add the two displacements together. Instead, we use vector addition to calculate the total displacement. First, we separate the 900km displacement into its eastward and northward components. The eastward component is 900km * cos(55.0°), and the northward component is 900km * sin(55.0°).
To get the total eastward displacement, we add the eastward displacement from San Francisco to Washington D.C. (5600km) and the eastward component of the displacement from Washington D.C. to Boston. The total northward displacement is just the northward component of the displacement from Washington D.C. to Boston, since Amit did not have any northward displacement in the first segment of his trip from San Francisco to Washington D.C.
The total displacement from San Francisco to Boston is then found by using the Pythagorean theorem on the total eastward and northward displacements. In other words, Amit's total displacement is the square root of (total eastward displacement)^2 + (total northward displacement)^2.
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How would you calculate the spring constant of an unknown spring?
Final answer:
To find the spring constant, apply Hooke's Law using the formula F = kx, where F is force due to gravity (mg), and x is the stretch distance. For a 10.0 kg mass stretching the spring 8.00 cm, the spring constant is calculated as 1225 N/m.
Explanation:
To calculate the spring constant (k) of a spring, you can use Hooke's Law, which is F = kx, where F is the force applied to the spring, and x is the displacement of the spring from its equilibrium position. In the scenario where a spring stretches 8.00 cm (or 0.080 meters) for a 10.0 kg load, the force exerted by the load (F) can be found using the force due to gravity, which is F = mg. The mass (m) is 10.0 kg, and the acceleration due to gravity (g) is approximately 9.80 m/s². Thus, F = (10.0 kg) × (9.80 m/s²) = 98.0 newtons (N).
Now that we know F and x, we can solve for the spring constant (k):
k = F/x
k = 98.0 N / 0.080 m
The spring constant k is 1225 N/m.
A graph of Boyle’s law shows the relationship between
A. Volume and density of gas
B. Volume and pressure of a gas
C. Temperature and volume of a gas
D. Temperature and pressure of a gas
Which winds are affected by specific landforms on earth's surface?
A) Westerlies
B) Polar Easterilies
C) Trade Winds
D) Local Winds
A graph that shows that the pressure of a gas varies inversely with its volume under constant temperature demonstrates
A. The pressure law
B. The density law
C. Charle’s law
D. Boyle’s law
The process by which planets form when material orbiting some stars starts gathering together through collision and gravitation and electrostatic attraction is called
A) accretion
B) nuclear fusion
C) differentiation
D) strong nuclear force
Answer: A) accretion
Explanation:
Accretion is the growth of a body by aggregation of matter. This is a process of accumulation of particles in a massive object gravitationally attracting more matter, typically gaseous matter, in an accretion disk.
It should be noted that this theory was proposed by Russian geophysicist Otto Schmidl in 1944 and explains that most of the objects in the universe, such as galaxies, stars and planets, are formed by accretion processes. A good example of this is the accretion of mass by a star that is given by the addition of mass to the star from interstellar matter or a neighbor star.
HELP PLEASE ASAP!!!!
Which of the following terms describes how mountains form?
A: Gradually
B: Rapidly
C: Explosively
D: Destructively
What does the force of gravity on an object depend on?
A. the object's mass
B. compounds
C. molecules
D. charged particles
A small child gives a plastic frog a big push at the bottom of a slippery 2.0 meter long, 1.0 meter high ramp, starting it with a speed of 5.0 m/s. What is the frog's speed as it flies off the top of the ramp?
1. Why are the poppy seeds placed in different places (not together)?
A new statue of the town founder is erected in the park. At the unveiling, the statue is a orange-brown copper. After a year, the statue looks blue-green. Has a physical or chemical change taken place?
a track coach with a meter stick and a stopwatch is trying to determine if a student is walking with constant speed.he should...
the chart lists the masses of four balls that have the same momentum. Which correctly compares 2 of the balls
Answer:B : D
The correct answer would be B:The red ball has a greater velocity than the purple ball.
Hope this helped : )
Explanation:
Which of the following make up the nucleus of an atom?
Please help have no clue on this
The velocity of a wave is a function of its:
energy
form
medium
amplitude
Answer:
amplitude is the answer
Planets, stars, asteroids and other celestial bodies have generally round shapes. Some are ovals, others really bumpy circles, and some are a very squished oval. Why are none triangular or rectangular?
our boss asks you compare two sound waves and determine which has the higher frequency. Wave A has a period of 4⁄100 second and Wave B has a perio of 1⁄7 second.
if you were in a canoe on a calm lake and you threw a heavy stone into the water in front of you what would the canoe do
A- the canoe would move backward a bit
B- the canoe would move forward a bit
C- the canoe would move forward and keep going
D- the canoe would not move because it is too heavy
Answer: Option A: The canoe would move backward a bit.
Explanation:
Newton's third law of motion states that for every action there is equal and opposite reaction. This means when you threw a heavy stone in front of you, you applied a force. Equal and opposite force acted on the canoe and it moved backward a bit.
Hence, according to Newton's third law of motion, when you throw a heavy stone forward, and equal amount of force will push the canoe backwards.
Final answer:
In a canoe, throwing a heavy stone into the water away from you will cause the canoe to move backward a bit due to Newton's Third Law of Motion. This motion is equal and opposite to the force applied when throwing the stone. The principles of forces help understand canoeing strategies, as well as the motion and sinking of objects in water.
Explanation:
When you are in a canoe on a calm lake and throw a heavy stone into the water, what you're experiencing is an application of Newton's Third Law of Motion, which states that for every action, there is an equal and opposite reaction. So, if you throw the stone away from the canoe, the force of throwing the stone forward will produce a reactive force in the opposite direction, causing the canoe to move backward a bit, which corresponds with option A. This movement is temporary, and once the initial reactionary force dissipates, the canoe will stop moving backward unless other forces are at play.
Canoeing techniques also involve understanding the forces at play. When paddling a canoe upstream, staying near the shore is wise due to the slower water speeds caused by friction between the water and the riverbanks. Meanwhile, when canoeing downstream, it is often best to stay near the middle where the current is stronger and can assist in propelling you forward with less effort.
This understanding of forces also clarifies that the motion of objects, such as a stone thrown into water, can be influenced by factors like density and gravitational force, rather than only the force exerted by a throw. When a stone is placed in water, it sinks because the stone's density is greater than water's, leading to a gravitational force that exceeds the buoyant force on the object.
The Richter scale, used to measure the strength of an earthquake is _________.
A. linear
B. quadratic
C. exponential
Answer: C. Exponential
Explanation:
What is chemical stimuli
The atomic number of magnesium is 12. This means that its nucleus must contain
A) 6 protons and 6 neutrons.
B) 6 neutrons and 6 electrons.
C) 12 neutrons and no protons.
D) 12 protons and no electrons.
D took test c:
*have a great day/evening c: *
What did early South American civilization do to promote farming
This is an imaginary line on Earth's surface equidistant from the North Pole and South Pole that divides the Earth into a northern hemisphere and a southern hemisphere
Answer:
Equator
Explanation:
all but one statement applies to electromagnetic radiation
Answer:
Its D can i get brainliest
Explanation:
Which factors are most likely to limit the growth of the coral reef in the caribbean?
A. High rainfall and clear waters
B. Low rainfall and excessive sunlight
C. High moisture and excessive sunlight
D. Extreme temperature and cloudy waters
why does glass expands before water?
IIn what form does the sun energy arrive on earth
Answer:
radiation
Explanation:
This is because sun energy travels in form of waves and thus doesn't require a medium to travel in
Discuss potential behavioral concerns for people should they travel to Mars.
The Answer above is Correct :)
Which procedure would best allow a scientist to observe a chemical property of hydrochloric acid (HCl) solution? cooling the HCl solution until it becomes solid, and measuring this temperature adding zinc to the HCl solution and observing whether or not bubbles are produced placing a conductivity probe into a beaker of HCl solution to determine if it conducts electricity measuring the mass of and volume of a sample of HCl solution to find its density
Answer: Adding zinc to the HCl solution and observing whether or not bubbles are produced.
A change in property that can be observed or can be measured without changing the substance's composition chemically is known as physical property. For example, change in temperature, change in state, change in mass, volume etc.
A change in property due to change in the chemical composition of the substance is known as chemical change. for example, when two substances react with each other and a chemically different product of formed.
→cooling the HCl solution until it becomes solid, and measuring this temperature- Physical change
→placing a conductivity probe into a beaker of HCl solution to determine if it conducts electricity-Physical change
→measuring the mass of and volume of a sample of HCl solution to find its density-Physical change
→adding zinc to the HCl solution and observing whether or not bubbles are produced-Chemical change:This would allow scientists to observe chemical property of HCl solution.
Answer:
The answer is B
Explanation:
I just took the test on edge
Dylan is the best athlete in our school. He plays football, basketball, and baseball and does the pole vault for the track team. He can vault up to five and seventy-three hundredths meters. If he would like to be able to pole vault up to six and twelve hundredths meters, how many more centimeters does he need to pole vault to reach his goal?