Hw Part 2

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William Rainey Harper College *

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MISC

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Physics

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May 10, 2024

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docx

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2

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Part 2 Newton’s third law of motion: F=ma What force is required to accelerate a 1000kg car to 2 m/s2 ? F=1000kg⋅2m/s =2000F A force of 15000N (or 15kN) is required to accelerate a rocket 5m/s2. What is the mass of the rocket? M=15,000N/5m/s^2 3000kg SpaceX’s Falcon 9 rocket has a mass of 549,000kg. Its engines can apply a force of 7600kN. What is the acceleration of this rocket? a=7,600,000N/549,000kg=13.84m/s^2 What force is required to accelerate the rocket in question 3 at this value if you add a 22,000kg payload to the rocket’s mass? m=Rocket Mass+Payload Mass=549,000kg+22,000kg=571,000kg. F=ma=(571,000kg)⋅(13.84m/s²). F=7,913,640N. Newton’s Universal Law of Gravitation: What is the gravitation force (Fg) between two objects of equal mass, 1000kg, separated by a distance of 200m? F g =G(m^1-m^2)/r^2 F g =(6.67430x10^-11N/m^2/kg^2 *1,00,000kg)/40,000M^2 F g =1.668575×10^−6N
The Sun has a mass of 2x1030kg, while the Earth has a mass of 6x1024kg. They are separated by a distance of 1.5x1011m. Calculate the gravitation force between them. F g =G(m^1-m^2)/r^2 F g =(1.33486x10^19N/m^2/kg^2)(1.2x10^55kg^2)/2.25x10&22m^2 F g =8.869×10^36N The Earth has a mass of 6x1024kg while the average human has a mass of about 80kg. What is the force between these two bodies if separated by a distance of 6300km? Once you calculated this force, use Newton’s 3rd law to calculate the acceleration from this force as applied to a human. Does this number look familiar? F g =G(m^1-m^2)/r^2 F g =(6.67430x10^-11N/m^2/kg^2 (6x10^254kg^2)(80kg)/6,300,000M^2
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