Physics Question pertaining to Velocity and Gravity

In summary, two identical eggs of mass 0.1 kg are dropped from rest at height h, with one on Earth and the other on the surface of the moon. The egg on Earth experiences air resistance (F=-kv), while there is no resistance on the moon. The gravity on Earth is 9.81 m/s^2 and on the moon it is 1.62 m/s^2. The problem asks for the terminal velocity of the egg falling through Earth's atmosphere, the height at which the eggs will hit the ground at the same speed, and whether the value of k at a high altitude should be greater than, less than, or equal to k at sea level, and why.
  • #1
jasonmoon
13
0

Homework Statement


Two identical eggs of mass 0.1 kg are dropped from rest at height h. One is dropped on Earth and the other on the surface of the moon. Egg dropped on Earth experiences a force due to air resistance (F=-kv) where v is velocity of egg and k is constant of proportinality equal to Ns/m. No forces of resistance on the moon.

Gravity on Earth = 9.81 m/s^2 Gravity on moon = 1.62 m/s^2





Homework Equations



What is terminal velocity of the egg falling through Earth’s atmosphere?
From what height will the eggs hit the ground at the same speed?
Should the value of k at a high altitude be >, <, or = to k at sea level and why?
 
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  • #2
jasonmoon said:

Homework Statement


Two identical eggs of mass 0.1 kg are dropped from rest at height h. One is dropped on Earth and the other on the surface of the moon. Egg dropped on Earth experiences a force due to air resistance (F=-kv) where v is velocity of egg and k is constant of proportinality equal to Ns/m. No forces of resistance on the moon.

Gravity on Earth = 9.81 m/s^2 Gravity on moon = 1.62 m/s^2





Homework Equations



What is terminal velocity of the egg falling through Earth’s atmosphere?
From what height will the eggs hit the ground at the same speed?
Should the value of k at a high altitude be >, <, or = to k at sea level and why?

Hello Jasonmoon, Welcome to Physics Forums.

What you've written under Relevant Equations is just more of the problem statement, so you should look to identify some equations that you think might be relevant to the problem at hand. You also need to provide some attempt at solving the problem so that we can see what you know about the subject and where you need help. We do not do your homework for you here; you need to show the effort.
 

1. How does velocity affect gravity?

Velocity does not directly affect gravity. However, the velocity of an object can impact its trajectory and the force of gravity acting on it. For example, a faster-moving object will experience a stronger gravitational pull than a slower-moving object.

2. What is the relationship between velocity and acceleration?

Acceleration is the rate of change of velocity. This means that the greater the velocity of an object, the more it will accelerate. This relationship is described by Newton's second law of motion, which states that force equals mass times acceleration.

3. How is velocity calculated in physics?

Velocity is calculated by dividing the change in position by the change in time. In other words, it is the displacement of an object divided by the time it took to travel that distance. This is represented by the equation v = d/t, where v is velocity, d is displacement, and t is time.

4. What is the difference between velocity and speed?

Velocity and speed are often used interchangeably, but they have different meanings in physics. Speed is the rate at which an object is moving, while velocity is the rate at which an object is changing its position in a specific direction. In other words, velocity takes into account both speed and direction.

5. How does gravity affect the motion of objects in space?

In space, gravity is the force that governs the motion of objects. It causes objects to orbit around larger bodies, such as planets, and keeps them in their trajectories. The strength of gravity depends on the mass and distance of the objects, and it decreases as distance increases.

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