**Physics Problem: Calculating Average Force on a Satellite**---**Problem Statement:**A satellite fires a thruster for 2 seconds to increase its speed by 3.0 m/s. If the satellite is 28 kg in mass, then how much average force does the thruster exert on the satellite?**Conditions:**- Ignore gravity and loss of mass due to thruster firing.- There is no air drag in outer space.**Hint:**Use impulse and the change of momentum to solve this problem.---**Solution Approach:**To solve this problem, we can use the concept of impulse which relates force, time, and change in momentum.1. **Impulse-Momentum Theorem:** According to the impulse-momentum theorem: \[ \text{Impulse} = \Delta p = F_{\text{average}} \times \Delta t \] where \(\Delta p\) is the change in momentum, \(F_{\text{average}}\) is the average force, and \(\Delta t\) is the time duration.2. **Calculate Change in Momentum:** \[ \Delta p = m \times \Delta v \] Given: - \(m = 28 \text{ kg}\) - \(\Delta v = 3.0 \text{ m/s}\) Therefore: \[ \Delta p = 28 \text{ kg} \times 3.0 \text{ m/s} = 84 \text{ kg·m/s} \]3. **Calculate Average Force:** Using the impulse equation: \[ 84 \text{ kg·m/s} = F_{\text{average}} \times 2 \text{ s} \] Solving for \(F_{\text{average}}\): \[ F_{\text{average}} = \frac{84 \text{ kg·m/s}}{2 \text{ s}} = 42 \text{ N} \]Therefore, the average force exerted by the thruster on the satellite is \(\boxed{42 \text{ N}}\).

According to the impulse-momentum theorem, we know that the change in momentum of a particle is…

A satellite fires a thruster for 2 seconds to increase its speed by 3.0 m/s. If the satellite is 28 kg in mass, then how much average force does the thruster exert on the satellite? Ignore gravity and loss of mass due to thruster firing. There is no air drag in outer space. Hint: use impulse and the change of momentum.

A satellite fires a thruster for 2 seconds to increase its speed by 3.0 m/s. If the satellite is 28 kg in mass, then how much average force does the thruster exert on the satellite? Ignore gravity and loss of mass due to thruster firing. There is no air drag in outer space. Hint: use impulse and the change of momentum.

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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