On a fictional planet, the gravitational acceleration is g is different from Earth's. Imagine that, on this planet, you do a simple experiment in which you drop a ball (from rest) from different heights (h) and record the time (t) it takes for it to fall to the ground. Which one of the following graphs' slopes will give you half of the gravitational acceleration of the planet?

On a fictional planet, the gravitational acceleration is g is different from Earth's. Imagine that, on this planet, you do a simple experiment in which you drop a ball (from rest) from different heights (h) and record the time (t) it takes for it to fall to the ground. Which one of the following graphs' slopes will give you half of the gravitational acceleration of the planet?

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter11: Gravity, Planetary Orbits, And The Hydrogen Atom

Section: Chapter Questions

Problem 1P

See similar textbooks

Similar questions

A space explorer lands on a certain planet and does an experiment to measure the local gravity. She launches an object straight upward and observes that it takes a total time T to return to the launch point and attains a maximum height h above the launch point. Derive an expression forthe value of g on this planet in terms of h and T and any appropriate constants.
Suppose that a projectile of mass m moves in a verticalplane in the atmosphere near the surface of the earth underthe influence of two forces: a downward gravitationalforce of magnitude mg, and a resistive force FR that isdirected opposite to the velocity vector v and has magnitudek v2 (where v = |v| is the speed of the projectile;see Fig. 4.1.15). Show that the equations of motion of theprojectile are mx'' = -kvx' , my'' = -kvy' -mg,
The force due to gravity on an object with mass $m$ at a height $h$ above the surface of the earth is\[F-\frac{m g R^{2}}{(R+h)^{2}}\]where $R$ is the radius of the earth and $g$ is the acceleration due to gravity.(a) Express $F$ as a series in powers of $h / R$.
The radius of the earth is R. At what distance above the earth's surface, in terms of R , is the acceleration due to gravity = 2.5 m/s2 ? At approximately (answer) × R above the earth’s surface.
In this problem, you are going to explore three different ways to determine the gravitational constant G. a) By observing that the centripetal acceleration of the Moon around the Earth is ac = 2.66 × 10-3 m/s2, what is the gravitatonal constant G, in cubic meters per kilogram per square second? Assume the Earth has a mass of ME = 5.96 × 1024 kg, and the mean distance between the centers of the Earth and Moon is rm = 3.81 × 108 m. b) Measuring the centripetal acceleration of an orbiting object is rather difficult, so an alternative approach is to use the period of the orbiting object. Find an expression for the gravitational constant in terms of the distance between the gravitating objects rm, the mass of the larger body (the earth) ME, and the period of the orbiting body T. c) The gravitational constant may also be calculated by analyzing the motion of an object, launched from the surface of the earth at an initial velocity of vi. Find an expression of the gravitational constant…
What is the magnitude of the gravitational acceleration at a height of two earth radius (2RE) above earth surface? Take gravitational acceleration near Earth surface as 9.81 m/s2. Express your answer in m/s2 and enter numerical value only, no units
An exoplanet (JB-2285), located in the galaxy closest to ours, uses a system where the units of mass and force are phljmth and xwyflr. respectively. Xwyflr is defined as the unit of force required to accelerate a unit mass, phljmth, with the gravitational acceleration (in m/s2) on the surface of the exoplanet which is seven tenths of the gravitational acceleration on earth’s surface (9.8066 m/s2). a. What is the conversion factor to convert a force in xwyflr to force in phljmth●m/s2? b. Calculate the weight in xwyflr of a 14.28 phljmth object on the surface of the exoplanet JB-2285. c. Determine the weight of the object in (b) in Newtons (N) in Mintal, Davao City if 137.224 N = 1.00 xwyflr? d. What is the mass in grams of a 796.2-phljmth object?
Concern the planet Mars, which has a radius of 3400 km. On Mars, the acceleration due to gravity is 3.72 m/s^2 The mass of the sun is 2.0×1030 kg, while the (actual) mass of Mars is 6.4×1023 kg. The average distance from Mars to the sun is 228 million kilometers. a. What is the gravitational force acting on Mars due to the sun? What is the reaction force to this force? Name or explain the force; don’t give a value. b. What are the speed and angular velocity of Mars? Compare the values to those of Earth. c. Using only information provided above, estimate the length of a year on Mars. Compare the value to that of Earth.
The gravitational force exerted on an astronaut on the Earths surface is 650 N directed downward. When she is in the space station in orbit around the Earth, is the gravitational force on her (a) larger, (b) exactly the same, (c) smaller, (d) nearly but not exactly zero, or (e) exactly zero?
The “mean” orbital radius listed for astronomical objects orbiting the Sun is typically not an integrated average but is calculated such that it gives the correct period when applied to the equation for circular orbits. Given that, what is the mean orbital radius in terms of aphelion and perihelion?
What is the approximate magnitude of the gravitational force exerted by the Sun on the Voyager 1 spacecraft when they are separated by 17.0 billion kilometers? The spacecraft has a mass of 731 kg.
The physical significance of the constant g is seen by considering the acceleration of a body subject only to the force of the earth’s gravity, in other words, a body in free fall. a) True b) False