**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)...

See similar textbooks

Similar questions

A 3.45 kg black ball traveling 4 m/s has a head on collision with a white one at rest. Using the velocities shown, calculate the mass of the white ball, Ignore friction and air resistance. 0 m/s 4 m/s 1.4 m/s 5.7 m/s
In an attempt to imitate Miley, Betty White launches herself onto a wrecking ball. If she is moving at 6 m/s when she jumps on the ball, how high does the ball swing? Assume: mbetty = 60 kg (~140 lbs) 450 kg (~1000 Ibs) Mball And that the initial velocity is purely in the horizontal direction, and the support chain of the wrecking ball has negligible mass. a) Solve for the maximum swing height symbolically b) Solve for the maximum swing height numerically c) If the wrecking ball support chain has a length of 5 meters, what angular displacement does the ball have from vertical at the highest point?
Calculate the increase in velocity (in m/s) of a 4810 kg space probe that expels 3210 kg of its mass at an exhaust velocity of 4.00 ✕ 103 m/s. You may assume the gravitational force is negligible at the probe's location. The answer is 4400 m/s given by the homework website I tried using the conservation of momentum and the conservation of kinetic energy but did not get the right answer.
A baseball arrives at home plate at a speed of 43.3 m/s. The batter hits the ball along the same straight line directly back at the pitcher at 68.4 m/s (think about the directions). The baseball has a mass of 0.145 kg and the bas is in contact with the ball for 6.28x10^-4 s. What is the magnitude of the average force on the ball from the bat?
Suppose a 1.25-kg ball is thrown against a wall at a speed of 15 m/s. After it hits the wall, the ball rebounds horizontally at a speed of 7.50 m/s. What is the force exerted by the wall on the ball if the ball is in contact with the wall for 0.000100 seconds? Express your final answer in the correct number of significant figures. Do not express the answer in scientific notation. Include correct units in the answer.
Jerry's mass is 80 kg, and Barbie's is 45 kg. He is standing on the x-axis at x j = +10.0 m, while she is standing on the x-axis at xa = +3.5 m. They switch positions. What is their center of mass after they switched positions?
In the Atwood's machine the two masses are initially at rest at the same height. After they are released, m2 falls 1.01 m and hits the floor while m1 rises 1.01 m. How much higher (in centimeters) does m1 go after m2 has hit the floor? m1 = 1.8 kg and m2 = 3.1 kg
A 1300 kg car moving at 6.3 m/s is initially traveling north in the positive y direction. After completing a 90° right-hand turn to the positive x direction in 3.6 s, the inattentive operator drives into a tree, which stops the car in 290 ms. What is the magnitude of the impulse on the car (a) due to the turn and (b) due to the collision? What is the magnitude of the average force that acts on the car (c) during the turn and (d) during the collision? (e) What is the angle between the average force in (c) and the positive x direction? (a) Number i Units (b) Number i Units (c) Number i Units (d) Number i Units (e) Number i Units MacBook Pro esc > @ $ & 1 2 3 4 Q W E R Y tab S F K caps lock C V M hift fn control option command
A 1200 kg car moving at 5.1 m/s is initially traveling north in the positive y direction. After completing a 90° right-hand turn to the positive x direction in 4.6 s, the inattentive operator drives into a tree, which stops the car in 430 ms. What is the magnitude of the impulse on the car (a) due to the turn and (b) due to the collision? What is the magnitude of the average force that acts on the car (c) during the turn and (d) during the collision? (e) What is the angle between the average force in (c) and the positive x direction? (a) Number i Units (b) Number Units (c) Number Units (d) Number Units (e) Number Units
The Merlin rocket engines developed by SpaceX can produce 7.44 x 105 N of instantaneous thrust with exhaust speed of 3.05 x 10³ m/s in vacuum. What mass of fuel does the engine burn each second to produce this thrust? (Enter your answer in kg/s.) HINT kg/s
QUESTION 3 (COLLAB) A new design of Saturn 10 rocket with mass 1.96 x10° kg has a propulsion engine that can eject gases at a constant speed of kg/s (dmdT). In full tank, the rocket can carry a fuel of mass 43.32 x10 6 kg. 269.47 m/s (vGas) by burning fuel at a rate of 4.71 x10 If this design exceeds the velocity of 11,200 m/s it can successfully escape Earth's gravity. Determine if this is so. Find its maximum velocity (velyZ) in a PhysLab virtual simulation. (Pitch Angle = 0)
The Merlin rocket engines developed by SpaceX can produce 7.59 x 105 N of instantaneous thrust with an exhaust speed of 3.05 x 103 m/s in vacuum. What mass of fuel does the engine burn each second to produce this thrust? (Enter your answer in kg/s.) HINT kg/s Need Help? Watch It Read It