A 1.8 kg object is pulled along the floor with a force of 7.0 N acting horizontally. If the object accelerates at 2.4m/s^2, how much kinetic friction is acting?

how do i do this? could you please explain step by step

Net force=m*a

pulling force-friction force=ma
friction force=pulling force-ma

Sure! I can help you with that. Let's break it down into steps:

Step 1: Identify the given information:
- Mass of the object: 1.8 kg
- Applied force: 7.0 N
- Acceleration of the object: 2.4 m/s²

Step 2: Determine the net force acting on the object:
The net force can be calculated using Newton's second law of motion, which states that the net force (F_net) on an object is equal to the product of its mass (m) and its acceleration (a). Mathematically, it can be written as:
F_net = m * a

Substituting the given values:
F_net = 1.8 kg * 2.4 m/s²

Step 3: Calculate the net force:
F_net = 4.32 N

Step 4: Determine the frictional force:
In this case, the applied force is acting horizontally, and there is an opposing force known as kinetic friction (F_friction) acting in the opposite direction. The frictional force is given by the equation:
F_friction = μ * N

where μ is the coefficient of kinetic friction and N is the normal force.

Step 5: Determine the normal force:
The normal force is the force exerted by a surface perpendicular to the object's weight. When an object is on a horizontal surface, the normal force is equal in magnitude and opposite in direction to the object's weight. Therefore, we can calculate the normal force using the equation:
N = m * g

where g is the acceleration due to gravity (approximately 9.8 m/s²).

Substituting the given values:
N = 1.8 kg * 9.8 m/s²

Step 6: Calculate the normal force:
N = 17.64 N

Step 7: Determine the coefficient of kinetic friction:
Since we have the applied force, the net force, and the normal force, we can now use these values to find the coefficient of kinetic friction. Rearranging the equation for frictional force:
F_friction = μ * N

we can solve for μ:
μ = F_friction / N

Step 8: Calculate the coefficient of kinetic friction:
μ = 4.32 N / 17.64 N

Step 9: Determine the frictional force:
Finally, we can calculate the frictional force by multiplying the coefficient of kinetic friction (μ) by the normal force (N):
F_friction = μ * N

Substituting the values:
F_friction = 0.245

So, the kinetic friction acting on the object is 0.245 N.

To determine the amount of kinetic friction acting on the object, you can follow these steps:

Step 1: Identify the given values:
- Mass of the object (m) = 1.8 kg
- Applied force (F_applied) = 7.0 N
- Acceleration (a) = 2.4 m/s^2

Step 2: Calculate the net force acting on the object:
Since the object is accelerating, there must be a net force acting on it. This can be calculated using Newton's second law:
Net Force (F_net) = m * a
F_net = 1.8 kg * 2.4 m/s^2

Step 3: Determine the force of friction:
The force of friction is equal to the force opposing the motion of the object. In this case, the force of friction is kinetic friction (F_kinetic).
F_kinetic = F_net

Step 4: Determine the coefficient of kinetic friction:
The coefficient of kinetic friction (μ_kinetic) relates the force of friction to the normal force. However, since the normal force cancels out when calculating the force of friction, it is not directly needed in this problem. Instead, the coefficient of kinetic friction can be thought of as representing the "stickiness" or roughness between surfaces. Unfortunately, it is not given in the question, so we cannot calculate it. You may need it for future calculations.

Step 5: Calculate the amount of kinetic friction:
Since in this problem we are trying to determine the amount of kinetic friction, we can use the previously calculated net force:
F_kinetic = F_net

Therefore, the amount of kinetic friction acting on the object is F_kinetic = F_net.