You have landed on an unknown planet, newtonia, and want to know what objects will weigh there. you find that when a certain tool is pushed on a frictionless horizontal surface by a 12.2 n force, it moves 16.1 m in the first 2.40 s , starting from rest. you next observe that if you release this tool from rest at 11.0 m above the ground, it takes 2.58 s to reach the ground. what does the tool weigh on newtonia? what would it weigh on earth?

1. On Newtonia: 28.846N               2. On Earth:42.767N

Explanation:

The weight is the force with which a planet attracts an object with mass , due to the acceleration of gravity of said planet, and is given by the following equation:

(1)

Knowing this, let's find the weight of an object on Newtonia and on Earth:

1. On Newtonia:

The weight in this planet is given by (1):

(2)    

In addition, we are told that when a certain tool is pushed on a frictionless horizontal surface by a 12.2 N force, it moves 16.1 m in the first 2.40 s , starting from rest (, and ).

By Newton's 2nd law of motion we know the force is given by:

(3) Being the mass of the object and its acceleration.

Isolating :   (4)  

We already know , we need to find . In order to approach it, we will use the following equations related to the motion in one dimension:

(5)

(6)

From (5):

(7)

Substituting (7) in (6):

(8)

Finding : (9)

Substituting (9) in (4):

(10)  

(11)  

On the other hand, we are told that if you release this tool from rest ( and ) at above the ground, it takes to reach the ground.

In this case we will use the following equation:

  (12)

  (13)

Finding :

  (14)  Where the negative sign only indicates the acceleration is "downwards",  to the center of the planet.

Substituting (14) in (1):

(15)

This is the weight of the tool on Newtonia.

2. On Earth:

In the case of our planet, we will use the same weight equation, knowing the acceleration due gravity on Earth is :

(16)

(17)

Finally:

This is the weight of the same tool on Earth.

1) when you rub your hands together quickly, the kinetic energy is converted to mechanical energy.2) thermal energy from the sun travels to earth as infrared waves.3) energy is transferred through the matter of space by electromagnetic waves. 4) when a match is burned, chemical potential energy is converted to thermal and radiant energy. 5) seismicwaves are caused by back and forth movement , or vibration, of an object. 6) mechanicalenergy in an engine changes thermal energy into kinetic energy to make a car move.

The low lands i believe