What is the present scientific status of Newtonian physics? (a) We now know for certain that Newtonian physics is correct. (b) Although we cannot know for certain that Newtonian physics is correct, no violations have ever been discovered. (c) Newtonian physics does not apply to very small objects, but otherwise no violations have been discovered. (d) Newtonian physics does not apply to very small objects, high-speed objects, and very strong gravitational forces. (e) Newtonian physics is now known to be wrong and thus it is no longer useful in science.
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- A spaceship travels at a constant speed from earth to a planet orbiting another star. When the spacecraft arrives, 15 years have elapsed on earth, and 9.1 years have elapsed on board the ship. How far away (in meters) is the planet, according to observers on earth? Number i Earth time CH? 24% 2 Ship time A 215 Spaceship departs earth Units # Earth time 12 FAN 163 Spaceship arrives at distant planetIn Newtonian gravitation, how does the force depend on distance? Pick those that apply. The force of gravity does not depend on the distance between two objects. It decreases as 1 divided by the square of the distance, so at twice the distance it is 1/4 the force. It decreases in inverse proportion to the distance, so that at twice the distance it is 1/2 the force. The square of the force is proportional to the cube of the distance.Paul throws a rock straight up into the air on Planet A. Jim throws a rock straight up into the air on Planet B. Paul's rock reaches a maximum height of 4 feet at 3 seconds after it leaves his hand. Jim's rock reaches a maximum height of 37 feet at 4 seconds after it leaves his hand. Paul's rock leaves his hand at a height of 5.4 feet and Jim's rock leaves his hand at a height of 5 feet. The heights h of the rocks can be modeled as quadratic function in terms of time t seconds. If Paul and Jim throw the rocks at exactly the same time, what is the difference in heights of the two rocks (in feet) 6 seconds after they are thrown?
- A spaceship travels at a constant speed from earth to a planet orbiting another star. When the spacecraft passes by the planet, and according to an observer on Earth, 13 years have elapsed on Earth (proper time) and 10 years have elapsed on board the ship. According to the astronaut on the spaceship, what is the elapsed time he measures on Earth?classical mechanics : Captain James T. Kirk of Star Trek fame spent a large portion of his time mining for planets that contained heavy metals after leaving active duty. In order to accomplish this, he put his spaceship into an elliptical orbit around the planet and measured its density (= total mass/volume; a sphere's volume is equal to 4/3pi r^(3)), where r is its radius). Significant concentrations of important heavy metals were probably present on planets with densities higher than normal. The radius of the planet, the period of the orbit, the minimum and greatest distances of his ship from the planet's centre, or r_min and r_max, were the only measurements he took to arrive at this conclusion. The engines of the ship were deactivated during his journey in the elliptic orbit. Ignore any effects the local star might have on the motion. Kirk also knows the mass of his ship. Explain how he was able to determine the planet’s density using this method.Many people mistakenly believe that astronauts that orbit the Earth are "above gravity." Calculate the acceleration due to gravity (g) for space shuttle territory, 200 kilometers above the Earth's surface. Earth's mass is 6 x 1024 kilograms and its radius is 6.38 x 106 meters (6380 kilometers). Your answer is what percentage of 9.8m/s2? (Can you help me break it down in a way that I could understand and calculate?)
- Hi, I have some issue solving this problem using calculus (small variation and linear approximation). Can you help me? The result should be -1cm Newton’s law of gravitation states that the force F of attraction between two particleshaving masses m1 and m2 is given by F = Gm1m2/s2 where G is a constant and s isthe distance between the particles. If s = 20 cm, find approximately the change in sthat will increase F by 10%.Many people have some sense for the SI units describing mass, length, and time. one kilogram is roughly the mass of a typical sports water bottle (when full) one meter is roughly the height of a kitchen counter one second is a typical time interval between heartbeats (when at rest) But the momentum unit we just learned—the "kilogram meter per second"—is another matter! How many kg · m/s might describe the following everyday phenomena? (Recall that momentum equals the product of mass and velocity.) a 0.05 kg (50-gram) tennis ball crossing the court at 20 m/s (about 45 mph) _____________ kg · m/s a 50 kg (110-pound) teenager jogging at 2 m/s about 4 1 2 mph . _______________kg · m/s a two-ton SUV (2,000 kg) following a dirt road at 5 m/s (about 11 mph). ________________kg · m/sJohn (70.0 kg) is standing 2.50 m away from Sam (60.0 kg). Find the gravitational force between John and Sam. Possible Formulas that can be used to solve the question: v=(2πr)/T ac=v2/r ac=(4π2r)/T2 Fc=mac Fg=mg F=(Gm1m2)/d2 g=Gm/r2 T2=(4π2/Gm)r3 v=√(Gm)/r g=9.80m/s2 G=6.67x10-11 (N∙m2)/kg2
- What feature of electrodynamics made Einstein to propose a special theory of relativity?A spaceship travels at a constant speed from earth to a planet orbiting another star. When the spacecraft arrives, 13 years have elapsed on earth, and 8.0 years have elapsed on board the ship. How far away (in meters) is the planet, according to observers on earth? Number i ap Earth time Ship time Spaceship departs earth Units Earth time -9 Ship time Spaceship arrives at distant planetThe speed of light is about 3 x 108 meters per second. The Millennium Falcon is traveling from Earth to Mars at the speed of light. The distance between the Earth and Mars fluctuates between 5.46 x 10¹0 meters and 4,01 x 10¹¹ meters. If the day the Millennium Falcon makes the "Mars Run," the distance is 2.25 x 10¹¹ meters, how long will it take them? Note: distance = rate time, and time = distance/rate Express your answer in scientific notation. Use for the multiplication. seconds Convert your answer to minutes. Include at least 3 decimal places in your answer, which can be expressed in standard notation. minutes Suppose the Millennium Falcon flies for 5 hours at the speed of light. How far will they travel? Express your answer in scientific notation. meters