Question 2.5: A new unit of length is chosen such that the speed of light in vacuum is unity. What is the distance between the Sun and the Earth in terms of the new unit if light takes 8 min and 20 s to cover this distance?
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- Earth has a mass of 5.98*1024 kg.The average mass of the atoms that make up Earth is 40 u. How many atoms are there in Earth?In this problem we will observe how the momentum of an electron changes as its velocity approaches the speed of light. The mass of an electron is 9.109 × 10-31 kg. Part (a) First, what is the momentum of an electron which is moving at the speed of a car on a highway, say 29 m/s, in kilogram meters per second?2.
- The 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. metersSuppose a machine is invented to measure the amount of knowledge in a student’s head in units called “factoids.” One student is measured at F(t) = t³ − 6t² + 9t factoids at time t, where t is measured in weeks. a. Find the rate at which the student is gaining (or losing) knowledge as a function of time (be sure to give the units). b. During what time between t = 0 and 11 is the student losing knowledge? c. Sketch a graph of the function F(t).A "bullet" train set a new world record for train speed at 552 kilometers per hour during a manned test run on the Test Line in April 1999. The Test Line is 42.8 kilometers long. How many minutes would a test run on the Test Line last at this record-setting speed?
- I am unsure if I should determine how many miles equal a kilometer or how many miles per hour equal kilometers per hour. A car travels with an average speed of 35 MPH. What is this speed in km/h?The meter is the standard unit of length for physics. Which of these is the current way we define that standard? Based on a metal bar serving as a length "standard " that is kept by the National Institute of Standards and Technology (NIST) in the U.S. Based on the average distance from the Earth to the Sun. Based on the diameter of the Earth. Precisely how far light travels in 1/299792458 second.The distance from the Earth to the moon is 239,000 miles. The distance from the Earth to the moon is 385000 km. Given that light travels at 3.00 × 10⁸ m/s how many minutes does it take for light to travel to the moon?
- Evan is just leaving his house to visit his grandma. Normally, the trip takes him 25 minutes on the freeway, going 55 mph. But tonight he’s running 5 minutes late. How fast will he need to drive on the freeway to make up the 5 minutes?Express your answer in miles per hour.A stone is tossed into the air from ground level with an initial velocity of 30 m/s. Its height at time t is h(t) : 30t – 4.9t2 m. Compute the stone's average velocity ū in m/s over the time intervals [2, 2.01], [2,2.001], [2,2.0001] and [1.9999, 2], [1.999, 2], [1.99, 2]. (Use decimal notation. Give your answers to three decimal places.) Ū12,2.01] = m/s Ü12,2.001] = m/s U12,2.0001] = m/sAn expression for buoyant force is FB = ρgV, where FB has dimensions [MLT−2], ρ (density) has dimensions [ML−3], and g (gravitational field strength) has dimensions [LT−2]. The correct interpretation of V is that it represents velocity or volume?