A cardboard box sits on top of a concrete sidewalk where the coefficient of friction between the surfaces is 0.1. The mass of the box is 7 Kg and the box is pulled horizontally with a force of 60 N. What is the Gravitational Force on the box?
What is the Normal Force?
What is the Frictional Force?
What is the Acceleration?
To answer these questions, we'll need to use some basic physics concepts and formulas. Let's break it down step by step:
1. Gravitational force:
The gravitational force acting on an object can be calculated using the formula Fg = m * g, where Fg is the gravitational force, m is the mass of the object, and g is the acceleration due to gravity (which is approximately 9.8 m/s² on Earth). In this case, the mass of the box is given as 7 kg, so the gravitational force on the box would be Fg = 7 kg * 9.8 m/s².
2. Normal force:
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 in magnitude and opposite in direction to the gravitational force. So, the normal force would also be 7 kg * 9.8 m/s².
3. Frictional force:
The frictional force between the cardboard box and the concrete sidewalk can be calculated using the formula Ff = μ * N, where Ff is the frictional force, μ is the coefficient of friction, and N is the normal force. In this case, the coefficient of friction is given as 0.1 and the normal force is 7 kg * 9.8 m/s², so the frictional force can be calculated as Ff = 0.1 * (7 kg * 9.8 m/s²).
4. Acceleration:
To calculate the acceleration of the box, we need to use Newton's second law of motion, which states that the net force acting on an object is equal to the mass of the object multiplied by its acceleration. In this case, the net force is the force applied to the box minus the frictional force, so the equation becomes Fnet = m * a = 60 N - Ff. Rearranging the equation gives us a = (60 N - Ff) / m.
So, to summarize:
1. Gravitational Force: Fg = 7 kg * 9.8 m/s²
2. Normal Force: N = 7 kg * 9.8 m/s²
3. Frictional Force: Ff = 0.1 * (7 kg * 9.8 m/s²)
4. Acceleration: a = (60 N - Ff) / 7 kg