NASA Free-Fall Research: Solving Problems with Kinematic Equations

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In summary, the first problem involves free-fall research at a NASA research center and requires calculations of time intervals, distances, speeds, and acceleration using kinematic equations. The second problem involves a physics student and mountain climber throwing stones off a cliff and requires calculations of time intervals, initial velocities, and speeds using kinematic equations. The correct answers are provided for each part of both problems, but the student is struggling to get the correct answer for part B of the second problem.
  • #1
intriqet
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I have two problems. I have filled in most of the information that is asked but I can't seem to figure out a part for each problem. Please Help.

Problem 1:

Homework Statement



At a NASA research center free-fall research is performed by dropping experiment packages from the top of an evacuated shaft 146 m high. Free-fall imitates the so called microgravity environment of a satellite in orbit.
a) what is the max time interval for free fall if an experiment package were to fall the entire 146 m?

5.45 s [correct]

b) Actual NASA specs allow for a 5.24 s drop interval. How far do the packages in 5.24 s?

135m [correct]

c) What is their speed at 5.24 s?

51.5 m/s [correct]

d) What constant acceleration would be required to stop an experiment package in the distance remaining in the that shaft after its 5.24 fall?

121 m/s^2 [incorrect]

Homework Equations



Kinematic equations


The Attempt at a Solution



Presumably, since the shaft is 146 m tall and the package has already fallen 135 m there are 11 m left for the package to stop.

deltaX = 11 m : Vi = 51.5 m/s : Vf = 0 m/s

this information should be enough to calculate Ax for the second part of the problem but Webassign says my answer is wrong. Any ideas guys?

Problem 2

Homework Statement



An inquisitive physics student and mountain climber climbs a 48.0 m cliff that overhangs a calm pool of water. He throws two stones verticall downwar, 1.00 s apart and observes that they cause a single splash. The first stone has an initial speed of 1.92 m/s downward. Assume the downward direction is positive.

(a) How long after release of the first stone do the two stones hit the water?

2.93 s [correct]

(b) What initial velocity must the second stone have if they are to hit simultaneously?

16.1 m/s [incorrect]

(c) What is the speed of each stone at the instant the two hit the water?

first stone

30.7 m/s [correct]

second stone

34.62 m/s [correct]


Homework Equations



Kinematic equations


The Attempt at a Solution



This seems like a pretty straightforward problem but I can't seem to get question B right even though I used the value for question B to get the correct answer for question D.
 
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  • #2
b)The package is accelerating down wards with g. Your answer is true if the package is moving with uniform velocity. So net acceleration should be ...?
 
  • #3
131 m/s^2 in the upward direction to compensate for g, which is incorrect according to Webassign
 

Related to NASA Free-Fall Research: Solving Problems with Kinematic Equations

1. What is free-fall research?

Free-fall research is a type of scientific study conducted by NASA to understand the effects of gravity on objects in motion. It involves analyzing the movement of objects in a state of free-fall, where the only force acting on the object is gravity.

2. How does NASA use kinematic equations in free-fall research?

NASA uses kinematic equations to calculate the position, velocity, and acceleration of objects in free-fall. These equations help scientists understand the behavior of objects in a gravitational field and make predictions about their motion.

3. What kind of problems can be solved with kinematic equations in free-fall research?

Kinematic equations can be used to solve a variety of problems related to free-fall research, such as predicting the trajectory of a falling object, determining the time it takes to reach a certain height, or calculating the speed of an object at a given time.

4. Why is free-fall research important for NASA?

Free-fall research is important for NASA because it helps scientists understand the dynamics of objects in space, where gravity is the dominant force. This knowledge is crucial for designing spacecraft and conducting space missions.

5. How does free-fall research benefit society?

Free-fall research not only helps NASA advance their space exploration efforts, but it also has practical applications in everyday life. For example, understanding the principles of free-fall can aid in the development of safer and more efficient modes of transportation, such as parachutes and airbags.

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