Finding acceleration and weight

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SUMMARY

The discussion focuses on calculating the acceleration due to gravity and weight of a 9.2 kg object on a hypothetical planet where it falls 27.4 meters in 6.2 seconds. The calculated acceleration is 1.195 m/s², derived using the equation xf = xi + vit + 1/2at². The weight of the object on this planet is approximately 10.99 N, while its weight on Earth would be 11.62 N, calculated using the formula w = mg. The user also highlights confusion regarding unit appropriateness for weight calculations.

PREREQUISITES
  • Understanding of kinematic equations, specifically xf = xi + vit + 1/2at²
  • Knowledge of gravitational force calculations using w = mg
  • Familiarity with unit conversions in physics
  • Basic concepts of acceleration and weight
NEXT STEPS
  • Study kinematic equations in-depth, focusing on their applications in different scenarios
  • Learn about gravitational forces and weight calculations on various celestial bodies
  • Explore unit conversion techniques in physics for accurate measurements
  • Investigate the effects of gravity on different planets and how it varies from Earth
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Students in physics, educators teaching gravitational concepts, and anyone interested in understanding the calculations of acceleration and weight in different gravitational fields.

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Homework Statement



On some strange planet you find that a 9.2 kg object falls downward 27.4 meters in 6.2 seconds. What is the magnitude of the acceleration due to gravity on this planet? How much does the object weigh on this planet? How much would it weigh back on earth?

Homework Equations



xf = xi +vit +1/2at^2
w= mg

The Attempt at a Solution



a. 27.4 m/ 6.2 s = 4.42 m/s

27.4 = 0 + 4.42 + 1/2 a 6.2^2

27.4 = 4.42 + 19.22a

a= 1.195 m/s^2

b. 1.195(9.2)

10.99 mg(?)

c. (1.195) (9.8 m/s)

= 11.62 mg(?)

I thought the units would be in mg for the weight, but it said my units were inapproriate as well.
 
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Acceleration has units of [tex]\frac{distance}{time^2}[/tex]

At sea level on earth, the gravitational acceleration is about 9.81 m/s2.

a. 27.4 m/ 6.2 s = 4.42 m/s
would give the average velocity, not initial velocity.

Try y = 1/2 a t2

http://hyperphysics.phy-astr.gsu.edu/hbase/traj.html#ffall
 

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