A box weighs 50 N, placed on a titled board (30). What force must be applied to pull the box up the board at constant velocity(u=0.35)
To determine the force required to pull the box up the board at a constant velocity, we can utilize Newton's second law of motion. This law states that the force acting on an object is equal to the mass of the object multiplied by its acceleration.
First, let's break down the forces acting on the box on the tilted board. There are two main forces we need to consider: the gravitational force (weight) and the force applied to pull the box up the board.
1. Gravitational Force:
The weight of the box is given as 50 N. Weight is the force of gravity acting on an object and is calculated by multiplying the mass of the object by the acceleration due to gravity (approximately 9.8 m/s^2). We can calculate the mass of the box using the formula: weight = mass × acceleration due to gravity.
Rearranging the formula, we have: mass = weight / acceleration due to gravity.
Substituting the given values, we get: mass = 50 N / 9.8 m/s^2.
2. Force Applied to Pull the Box:
Here, we need to consider the force required to overcome the component of the gravitational force acting on the box in the downward direction. This component is given by: force = gravitational force × sin(angle of the inclined plane).
Now, to calculate the force required, we can use the formula: force = mass × acceleration.
Since the box is moving at a constant velocity (u = 0.35 m/s), the acceleration is zero. Therefore, the force required to pull the box up the inclined plane at constant velocity is also zero.
In summary, at a constant velocity, the force required to pull the box up the board is zero.