**Problem:**A student with a mass of 45 kg jumps off a high diving board. Using \(6.0 \times 10^{24}\) kg for the mass of the Earth, what is the acceleration of the Earth toward her as she accelerates toward the Earth with an acceleration of 9.81 m/s\(^2\)? *(Hint: Use Newton’s Third Law to determine the net gravitational force the student exerts on the Earth.)***Solution Explanation:**To solve this problem, we need to understand that according to Newton's Third Law, every action has an equal and opposite reaction. When the student exerts a force on the Earth by falling, the Earth exerts an equal and opposite force on the student.1. **Force exerted by the student:** - The force due to gravity on the student is given by \( F = m \times g \), where \( m = 45 \) kg and \( g = 9.81 \) m/s\(^2\). - Calculate the force: \( F = 45 \, \text{kg} \times 9.81 \, \text{m/s}^2 \).2. **Acceleration of the Earth:** - According to Newton’s Third Law, the same force \( F \) acts on the Earth. - Use the formula \( F = M \times a \), where \( M = 6.0 \times 10^{24} \) kg is the mass of the Earth, to find the Earth's acceleration \( a \). - Rearrange the formula to solve for \( a \): \( a = \frac{F}{M} \).By substituting the values calculated in the first step into this equation, you can determine the acceleration of the Earth.

Given data: Mass of the student is, m= 45 kg Acceleration of the student after the jump towards…

Answered: 0. A student with mass 45 kg jumps off…

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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3. A 2.0 kg mass moving in space according to v = (6.0t² + 1.0)î + (7.0t²)j + (t³)k (relative to the origin), with v in meter/second and t in seconds. At t =1 s (a) what are the magnitude and direction of the force acting on the mass relative to the x-axis (b) what is the angle between the acceleration and velocity vector (c) what are the magnitude and direction of the average velocity? (d) What is the mass angular momentum vector relative to the origin? (e) What is the torque vector acting on the mass relative to the origin? (f) WWhat is the work done by this force from t = 0 s tot = 1.0 s? (g) What is the instantaneous power at t = 1.0 s.
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1. On a planet whose radius is 1.5 × 107 m, the acceleration due to gravity is 20 m/s². An astronaut with a mass of 60 kg is standing on its surface.
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