If a horizontal force of 200 N is applied to a 430 N object, causing it to accelerate across a horizontal surface, and the net force on the object is 72 N, what is the value of frictional force between the obejct and the surface?
To find the value of the frictional force between the object and the surface, we first need to calculate the net force acting on the object.
The net force on an object can be calculated using Newton's second law of motion, which states that the net force is equal to the product of the mass of the object and its acceleration. In equation form, it is expressed as:
Net force = mass × acceleration
Since the problem provides the horizontal force (applied force) and the net force, we can rearrange the equation to solve for the mass of the object:
Net force = mass × acceleration
72 N = 430 N × acceleration
Dividing both sides of the equation by the acceleration:
72 N / 430 N = acceleration
Now we know the acceleration of the object. Next, we need to calculate the frictional force, which can be determined using the equation:
Frictional force = coefficient of friction × normal force
The normal force represents the force exerted by the surface on the object in the vertical direction. Since the object is on a horizontal surface, the normal force is equal to its weight (mass × acceleration due to gravity, which is approximately 9.8 m/s^2).
First, let's find the normal force:
Normal force = mass × acceleration due to gravity
Normal force = 430 N × 9.8 m/s^2
To further calculate the frictional force, you would need to know the coefficient of friction between the object and the surface. The coefficient of friction is a dimensionless value that depends on the nature of the materials in contact. Without this information, we cannot determine the exact value of the frictional force.
Therefore, the given information is insufficient to calculate the frictional force without knowing the coefficient of friction.