Solve Acceleration Due to Gravity on Distant Planet

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In summary, an astronaut measures the acceleration due to gravity on a distant planet by hanging a 0.060-kg ball from the end of a wire with a length of 1.5 m and a linear density of 3.1 multiplied by 10-4 kg/m. Using electronic equipment, they measure the time for a transverse pulse to travel the length of the wire and obtain a value of 0.098 s. After solving for the velocity and force, a mistake in the calculation leads to an incorrect answer for the acceleration. The correct answer is 1.12e-4 m/s^2.
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Malaya
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Homework Statement



To measure the acceleration due to gravity on a distant planet, an astronaut hangs a 0.060-kg ball from the end of a wire. The wire has a length of 1.5 m and a linear density of 3.1 multiplied by 10-4 kg/m. Using electronic equipment, the astronaut measures the time for a transverse pulse to travel the length of the wire and obtains a value of 0.098 s. The mass of the wire is negligible compared to the mass of the ball. Determine the acceleration due to gravity.

m=.06 kg
l=1.5m
linear density= 3.1 multiplied by 10-4 kg/m
t(time)=0.098 s
a=?

Homework Equations


v=d/t
v=√ F/linear density
F=ma

The Attempt at a Solution



v=dt
v=1.5 x .098
v=.147

v=√ F/linear density
.147=√ F/3.1 multiplied by 10-4 kg/m
.0216=F/3.1 multiplied by 10-4 kg/m
.0216 x 3.1 multiplied by 10-4 kg/m=F
F= 6.699e-6

F=ma
6.699e-6=.06 kg x a
a=1.12e-4

my answer was WRONG!
Why??
 
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  • #2
Well, in your Relevant Equations you state that v=d/t (which is correct) but in the first step of your solution you seem to use v=d*t.

It might just be as simple as that.
 
  • #3
Wow, thank you sooooo much, its funny how little mistakes can make a mess out of a problem!
 

Related to Solve Acceleration Due to Gravity on Distant Planet

What is acceleration due to gravity on a distant planet?

Acceleration due to gravity on a distant planet refers to the rate at which an object falls towards the surface of that planet. It is a measurement of how much the gravitational force of the planet is affecting the object. This acceleration can vary depending on the mass and size of the planet.

How is acceleration due to gravity on a distant planet calculated?

The formula for calculating acceleration due to gravity on a distant planet is: a = G(M/r^2), where a is the acceleration, G is the universal gravitational constant, M is the mass of the planet, and r is the distance between the object and the center of the planet. This formula takes into account the mass and size of the planet to determine the strength of the gravitational force.

Is acceleration due to gravity the same on all planets?

No, acceleration due to gravity can vary from planet to planet. It depends on the mass and size of the planet, as well as the distance between the object and the planet's center. For example, the acceleration due to gravity on Earth is 9.8 m/s^2, while on the moon it is only 1.6 m/s^2.

How does the acceleration due to gravity on a distant planet affect objects?

The acceleration due to gravity on a distant planet affects objects by pulling them towards the surface of the planet. This means that objects will fall towards the planet at a certain rate, depending on the strength of the gravitational force. This acceleration also affects the weight of objects, making them feel lighter or heavier on different planets.

Why is it important to calculate acceleration due to gravity on a distant planet?

Calculating the acceleration due to gravity on a distant planet is important for understanding the behavior of objects on that planet. It allows us to predict how objects will fall, as well as how much they will weigh. This information is crucial for space exploration and developing technology that can function properly on different planets.

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