Need to find velocity of an object I pushed off a table

[Coronita]

1.
You push a 100g object across a table and release it 2 m from the edge. The object slides across, sails off the edge falls 1m to the floor and lands 30 cm from the edge of the table. If the coefficient of friction is 0.5 what was the object's speed as you released it?



2.
f=ma

Sf= Si+Vi* (delta)t+ 1/2a*(delta)t^2

Vf=Vi+a*t


3.

Since I know how far it went horizontally and I'm given the mass I'm thinking I should be able to find the force it was pushed with and use that to find the acceleration? Does knowing how much force it's exerting down on the table help me? Not really sure how to get started :/

 

[Coronita]

i have 2 physics quizzes this week and it would be the week my tutor's going to be out of town >_<

 

[Coronita]

if anyone answers plese send it to me as a message, I am off to work now

 

[mnova]

Don't you need to know the height of the table?

 

[rwisz]

I would first gather all the relevant information and data from the given scenario. This includes the mass of the object (100g), the distance it was pushed (2m), the height it fell (1m), and the distance it landed from the edge (30 cm). I would also take note of the coefficient of friction (0.5) as it will affect the object's velocity.

Next, I would use the formula F=ma to calculate the force applied to the object when it was pushed. In this case, the force would be equal to the mass (0.1 kg) multiplied by the acceleration (which we will calculate later). This will give us the initial force at the moment of release.

To calculate the acceleration, we can use the formula Vf=Vi+a*t. We know the initial velocity (Vi) is 0, as the object was at rest before being pushed. We also know the final velocity (Vf) is equal to the object's speed when it reached the edge of the table, which we are trying to find. The time (t) can be calculated by dividing the horizontal distance (2m) by the object's initial velocity (0m/s), which would be the time it took to reach the edge of the table.

Now, we can use the formula Sf= Si+Vi* (delta)t+ 1/2a*(delta)t^2 to calculate the final position of the object. The initial position (Si) is 0m, as the object started at the edge of the table. The final position (Sf) is 30cm, as the object landed 30cm from the edge. The time (delta t) would be the same as calculated before.

Using these calculations, we can find the acceleration and then use it to calculate the initial force. From there, we can use the formula F=ma again to find the object's speed at the moment of release.

In conclusion, knowing the distance the object was pushed, the height it fell, and the distance it landed from the edge, along with the mass and coefficient of friction, we can use various formulas and calculations to find the object's speed at the moment of release. As a scientist, it is important to gather all the necessary information and use scientific principles and formulas to accurately determine the velocity of an object.