I need Help answering this question what equations do i use from Newton's Law and how to solve it. I Have a test on Wednesday and im lost please help.!!!

A piano is to be slid across the floor.IT had a mass of 450 kg.
A) Calculate the normal force supporting the piano.

B)If the coefficient of static friction between the floor and the piano is 0.35, calculate the minimum amount of force needed to get the piano to move.

C) ONce the piano is moving a horizontal force of 1.1X10^3 N is necessary to keep it moving at a constant speed. Determine the coefficient of kinetic friction.

Good

To solve this problem, we can use Newton's laws of motion. I will guide you through step-by-step on how to solve each part of the problem.

A) Calculate the normal force supporting the piano:
The normal force is the force exerted by a surface to support the weight of an object resting on it. In this case, the normal force will be equal to the weight of the piano. The weight can be calculated using the formula:

Weight = mass × acceleration due to gravity

Given that the mass of the piano is 450 kg and the acceleration due to gravity is 9.8 m/s^2, we can calculate the weight:

Weight = 450 kg × 9.8 m/s^2
Weight ≈ 4410 N

Therefore, the normal force supporting the piano is approximately 4410 N.

B) Calculate the minimum amount of force needed to get the piano to move:
To calculate the minimum force required to get the piano to move, we use the equation:

Frictional force (static) = coefficient of static friction × normal force

If the piano is on the verge of moving, the frictional force is at its maximum and equal to the static frictional force. The minimum force required to overcome this friction and start the motion is equal to the static frictional force.

Given that the coefficient of static friction is 0.35, and the normal force is 4410 N (as calculated in part A), we can calculate the static frictional force:

Static frictional force = 0.35 × 4410 N
Static frictional force ≈ 1543.5 N

Therefore, the minimum amount of force needed to get the piano to move is approximately 1543.5 N.

C) Determine the coefficient of kinetic friction:
Once the piano is already moving, the frictional force acting on it is the kinetic frictional force. We can calculate the coefficient of kinetic friction using the equation:

Frictional force (kinetic) = coefficient of kinetic friction × normal force

Given that the force required to keep the piano moving at a constant speed is 1.1 × 10^3 N, and the normal force is 4410 N (as calculated in part A), we can calculate the kinetic frictional force:

Kinetic frictional force = 1.1 × 10^3 N

Now, we can rearrange the equation to solve for the coefficient of kinetic friction:

Coefficient of kinetic friction = kinetic frictional force / normal force

Coefficient of kinetic friction = (1.1 × 10^3 N) / 4410 N
Coefficient of kinetic friction ≈ 0.25

Therefore, the coefficient of kinetic friction is approximately 0.25.

I hope this helps you understand how to approach and solve these types of problems. Good luck on your test!

To answer these questions, you need to use Newton's laws of motion and apply some basic principles of friction. Let's go through each question step by step:

A) Calculate the normal force supporting the piano:
To calculate the normal force, we need to understand that it is the force exerted by a surface to support the weight of an object resting on it. In this case, the normal force is the force exerted by the floor to support the piano's weight.

The normal force is equal to the weight of the piano, which can be calculated using the equation:

Weight = mass * gravitational acceleration

Given that the mass of the piano is 450 kg and the gravitational acceleration is approximately 9.8 m/s², we can calculate the weight of the piano:

Weight = 450 kg * 9.8 m/s²

Once you have this value, you can conclude that the normal force acting on the piano is equal to the weight.

B) Calculate the minimum amount of force needed to get the piano to move:
In order to move an object on a flat surface, you need to overcome the force of static friction. The equation to calculate the force of static friction is:

Force of static friction = coefficient of static friction * normal force

Given that the coefficient of static friction is 0.35 (as stated in the question) and you have already calculated the normal force, you can now calculate the force of static friction.

C) Determine the coefficient of kinetic friction:
Once the piano starts moving, a different type of friction comes into play, known as kinetic friction. The equation to calculate the force of kinetic friction is similar to the equation for static friction:

Force of kinetic friction = coefficient of kinetic friction * normal force

In this question, it is given that a horizontal force of 1.1 × 10^3 N is necessary to keep the piano moving at a constant speed. This force is equal to the force of kinetic friction acting in the opposite direction.

By rearranging the equation and substituting the known values, you can solve for the coefficient of kinetic friction.

Remember to carefully substitute the known values into the appropriate equations for each question. Double-check your calculations to ensure accuracy. Good luck with your test!