Answered: Use the conservation of energy to…

Use the conservation of energy to determine the minimum vertical speed that an object must have at the surface of the earth so that its speed at infinity would be zero.

University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter8: Potential Energy And Conservation Of Energy

Section: Chapter Questions

Problem 73AP: A mysterious force acts on all particles along a particular line and always points towards a...

See similar textbooks

Related questions

Q: QUESTION 1 A skier leaves the 20 ski jump ramp at 10 m/s. Determine: a The distance d' where she…

Q: 19. A circuit consists of a 100 v battery connected in series to a 20 resistor and two 2 F…

Q: Radioactive iodine-123 has an effective half-life of 12 hours. If a dose with an activity if 1.50…

A: Half-life= t1/2=12hours half-lives in 36hours (n) =36/12=3

Q: harmonic is being played on the moving guitar string

A: Given: Length of string is L=0.7 m Wave speed is v=420 m/s One guitar plays its fundamental…

Q: A ball rolls off the edge of a table. Let the time the ball leaves the table surface be t = 0. If…

Q: Gold, which has a density of 19.32 g/cm³, is the most ductile metal and can be pressed into a thin…

Q: 9.5 Electrons are accelerated by a 1000-V potential drop. (a) Calculate the de Broglie wavelength.…

Q: x- and y-components of v2.

A: Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: Two velocity vectors are defined as follows: ₁ = 40.0 m/s, 50.0° cw from the +x axis v₂ = 30.0 m/s,…

Q: Q₁ = -2.0 C and Q2 = 4.0 C. If Q₁ is at the origin (x = 0.0 m) and Q₂ is at x = 1.0 m, then is the…

Q: A sprinter explodes out of the starting block with an acceleration of +2.38 m/s2, which she sustains…

A: According to the given data At the initial point (A) u=0 m/s ; a=2.38m/s2 =constant ( between A to…

Q: Determine the force P required to force the 18° wedge under the 75-kg uniform crate which rests…

Q: 12. Although to a very small extent, even the proper use of an ammeter has an effect on a circuit.…

A: Let the resistance of a resistor = RLet the resistance of ammeter = R' Let the voltage of the…

Q: •• 41. Figure P26.41 is an edge view of three charged metal electrodes. Let the left electrode be…

Q: A bus makes a trip according to the position-time graph shown in the illustration. What is the…

A: average acceleration would be,a=vf-votf-tofrom the graphvf=vcvo=vAtf-to=3.5…

Q: 3- A 10 kg block is attached to a wall and also placed on top of a 40 kg block. The coefficients of…

Q: 1. what is the acceleration at t=0.9 s? 2. what is the acceleration at t=4.9 s? 3.what is…

A: Since you have posted a question with multiple sub-parts, we will solve the first three sub-parts…

Q: An object is moving at 3.5 m/s as it rolls up a frictionless hill. How fast will the object be…

Q: Calculate the maximum and minimum possible distances between Earth and Mars (hint: you need to…

A: Earth and Mars are two of the eight planets in the solar system. The Earth is the third planet from…

Q: A. *Calculate the current flowing thru the circuit. B. How much current is flowing thru the 10052…

A: Since you have posted multiple questions with multiple sub parts, we will provide the solution only…

Q: A flat capacitor, consisting of two plates separated by 1 mm of empty space, is connected to a…

Q: Question 4 Calculate the total amount of current that the battery must supply to this parallel…

Q: #4) An object having an initial negative velocity is moving with a constant negative acceleration,…

A: Given:Initial velocity is negativeAcceleration of the body is constant and negative. To find:To draw…

Q: A ball rolls off the edge of a table. Let the time the ball leaves the table surface be t = 0. If…

Q: The tires on a race car are filled with air at 10o C, to a gauge pressure of 35 lb/in2 (about 2.4 x…

Q: Suppose a ray comes from a point (2, 8) and hits at mirror point (6, 6). Assume that perpendicular…

Q: During a workout, a person repeatedly lifts a 16-lb barbell through a distance of 1.6 ft. How many…

Q: 25kg 250 M M = 3 what is the acceleration?

A: Given: The mass of the object is 25 kg. The applied force is 250 N. The coefficient of the friction…

Q: An electron and a proton, starting from rest, are accelerated through an electric potential…

A: Both are accelerated through an electric potential difference of the same magnitude. Speed…

Q: You need to drag a very heavy table (m = 75kg) across the kitchen floor, so you provide 450N [R 35…

Q: Example 7:- The maximum height attained by a projectile in increased by15%by increasing its speed of…

Q: A. The emf of the battery to which the resistor is connected B. The current passing the through the…

A: The meterial from which the wire is made.

Q: An object is released from rest and falls in free fall motion. The speed v of the object after it…

A: Given v2=2gy percentage uncertainty in measurement of v=5.19% percentage uncertainty in measurement…

Q: 3. According to theory, the period T of a simple pendulum is T = 2π/ a. If L is measured as L = 1.25…

Q: The( )is the antiparticle of the electron. a;alpha partical b;beta partical c;neutrino. d;…

A: 4. The positron is antiparticle of electron. Option (d) is correct. It is the antiparticle of the…

Q: A solenoid with an inductance of 10.0 H has 1.0 x 10 A of current going through it. How much energy…

Q: A charge is initially surrounded by a cubic Gaussian surface whose volume is d³ The cubic surface is…

Q: (c) Determine the y-intercept of the graph. What does it represent? (d) What is the equation of the…

Q: In the Bohr model of the hydrogen atom, an electron in the 3rd excited state moves at a speed of…

A: Given data : Speed of the electron in the 3rd excited state ( v ) = 2.43 * 10 5 m/s Radius of the…

Q: A particle undergoes a constant acceleration of 4.00 m/s². After a certain amount of time, its…

A: Note: As per the guidelines, we can only answer three subparts of a question. Sorry for the…

Q: 130g of water is placed in a 10g aluminum cup. Both the water and cup start at temperature 40…

Q: New more economical water showers would add approximately 8l/min. If the user takes a shower once a…

Q: The drawings show three charges that have the same magnitude but may have different signs. In all…

Q: A cart is loaded with a brick and pulled at constant speed along up a hill that is has a slope of…

A: given m: is the mass of the loaded cart = 10 kg h: is the height of the hill= 100 m…

Q: Determine the resultant force (magnitude and direction) of the forces shown. F₂= 1200 N F3= 200 N…

A: According to the given data F1 =500N F2=1200N F3=200N we need to find r Resultant of the three…

Q: A 12.8 kg box is initially sliding across a flat surface (coefficieint of friction = 0.2) at 36.6…

Q: The position of a particle as a function of time is shown in the figure. What is the particle's…

A: This problem can be solved using basic formula of velocity, speed and acceleration.

Q: 63) Three point charges are arranged along the x axis. Charge q1 = -4.50 nC is located at x = 0.200…

Q: An engineer builds a parallel-plate capacitor with adjustable spacing between the plates. When the…

Q: run is broken into six segments. 4.75 4.50 4.25- 4.00 3.75- 3.50- 3.25 3.00- 2.75- 2.50- 2.25- 2.00…

A: Velocity versus time graph is given for a runner in motion The velocity is plotted along y axis and…

Concept explainers

Spring Potential Energy

The potential energy is the energy possessed by a body by virtue of its position or the energy held by the object due to its position relative to other objects, its force like stresses, charge, and other factors affecting the particles of the body. The potential energy is the measure of the net work done by or on the body. The spring potential energy is the potential energy stored due to the deformation of an elastic spring and this elasticity is due to the stretched spring. The elasticity is the ability of a solid-state matter to come back to its equilibrium position or original position after any kind of external force is acted on it. It is also known as Elastic potential energy. The potential energy here is caused due to the displacement of the spring from its equilibrium position to another position and this potential energy is equal to the net work done due to the stretching of the spring. It also resembles the same mechanics of the oscillation of a simple pendulum, where due to the external force, the object moves from its equilibrium position to its maximum ends and the periodic motion continues till it comes back to the equilibrium position to rest. 

Question

Use the conservation of energy to
determine the minimum vertical speed that an
object must have at the surface of the earth so
that its speed at infinity would be zero. This
speed is known as the escape speed of the
earth. For this problem, you should assume that
the gravitational interaction with the earth is
the only interaction which the object feels.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.

Similar questions

Check Your Understanding The U.S. Air Force uses “10gs” (an acceleration equal to 109.8m/s2 ) as the maximum acceleration a human can withstand (but only tot several seconds) aid survive. How much time must the Enterprise spend accelerating if the humans on board are to experience an average at most 10gs of acceleration? (Assume the inertial dampeners are offline.)
Repeat the preceding problem, but including a drag force due to air of fdrag=bv .
Check Your Understanding You probably recall that, neglecting air resistance, if you throw a projectile straight up, the time ii takes to reach its maximum height equals the time it takes to fall from the maximum height back to the starting height. Suppose you cannot neglect air resistance, as in Example 8.8. Is the time the projectile takes to go up (a) greater than, (b) less than, or (c) equal to the time It takes to come back down? Explain.
Check Your Understanding What are the values of the gravitational potential energy of the hiker at the base, and sea level, with respect to a sea-level zero of potential energy?
What is the ratio of the speed at perihelion to that at aphelion for the comet Lagerkvist in the previous problem?
A mysterious force acts on all particles along a particular line and always points towards a particular point P on the line. The magnitude of the force on a particle increases as the cube of the distance from that point; that is Fr3 , if the distance from P to the position of the particle is r. Let b be the proportionality constant, and write the magnitude of the force as F=br3. Find the potential energy of a particle subjected to this force when the particle is at a distance D from P, assuming the potential energy to be zero when the particle is at P.
When a body slides down an inclined plane, does the work of friction depend on the body’s initial speed? Answer the same question for a body sliding down a curved surface.
Calculate the gravitational potential energy of a 9.50 kg mass (a) on the surface of theEarth and (b) at an altitude of 325 km. (c) Take the difference between the results forparts (b) and (a), and compare with mgh, where h is 325 km.
Show that the gravitational potential energy of an object of mass at height on Earth is given by PEg = mgh.
In a Broadway performance, an 80.0-kg actor swings from a3.75-m-long cable that is horizontal when he starts. At the bottomof his arc, he picks up his 55.0-kg costar in an inelasticcollision. What maximum height do they reach after theirupward swing?
Consider a distant planet that has twice the mass and twice the radius of the Earth.Is the escape speed on this planet greater than, less than, or equal to the escape speedon the Earth? Explain
Apollo 14 astronaut Alan Shepard famously took two golfshots on the Moon where it’s been estimated that an expertlyhit shot could travel for 70.0 s through the Moon’s reducedgravity, airless environment to a maximum range of 4.00 km(about 2.5 miles). Assuming such an expert shot has a launchangle of 45.0°, determine the golf ball’s (a) kinetic energy asit leaves the club, and (b) maximum altitude in km above thelunar surface. Take the mass of a golf ball to be 0.045 0 kg andthe Moon’s gravitational acceleration to be gmoon = 1.63 m/s2.