Calculating Velocity of Free-Falling Object from Rest at Different Altitudes

In summary, the question asks for the velocity of a 100kg object released from rest at an altitude of 50km and falling to the Earth at sea level, ignoring air resistance and wind effects. Using the equations F=G(m1m2)/r^2 and F=ma, the solution is found to be a force of 967.74N and an acceleration of 9.68m/s^2. Conservation of energy can also be used to solve this problem.
  • #1
student1
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Homework Statement


A 100kg object is released from rest at an altitude of h=50km. Ignoring aerodynamic drag and wind behaviour, determine the velocity of the object just before it strikes the Earth at sea level, asumming gravity is 9.81 m/s^2 and constant


Homework Equations



F=G(m1m2)/r^2

F=ma

The Attempt at a Solution


F=967.74N
a=9.68m/s2
 
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  • #2
Hi student1! :smile:
student1 said:
A 100kg object is released from rest at an altitude of h=50km. Ignoring aerodynamic drag and wind behaviour, determine the velocity of the object just before it strikes the Earth at sea level, asumming gravity is 9.81 m/s^2 and constant

Hint: use conservation of energy :wink:
 
  • #3


thank you very much
 

FAQ: Calculating Velocity of Free-Falling Object from Rest at Different Altitudes

What is velocity and how is it calculated?

Velocity is a measure of the speed and direction of an object's movement. It is calculated by dividing the change in an object's position by the change in time.

How is velocity different from speed?

Velocity and speed are often used interchangeably, but they are different concepts. While speed only measures how fast an object is moving, velocity also takes into account the direction of movement.

What are the units of velocity?

The units of velocity are distance traveled (such as meters or feet) divided by time (such as seconds or minutes). The most common unit of velocity is meters per second (m/s).

How can velocity be represented graphically?

Velocity can be represented on a graph by plotting the change in an object's position (y-axis) over time (x-axis). The slope of the line on the graph represents the object's velocity, with steeper slopes indicating higher velocity.

How does acceleration affect velocity?

Acceleration is the rate of change of an object's velocity. If an object experiences a constant acceleration, its velocity will change at a constant rate. This means that the object's velocity will increase or decrease by the same amount every unit of time.

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