A bale of weight 200N hangs at the end of a rope. Find the acceleration of the
To find the acceleration of the bale, we need to consider the forces acting on it. In this case, we have two forces:
1. The weight force acting downwards: This force is equal to the mass of the bale multiplied by the acceleration due to gravity (g).
Weight force = mass × acceleration due to gravity
2. The tension force acting upwards: This force is exerted by the rope and is equal in magnitude but opposite in direction to the weight force.
Since the bale is hanging motionless, the net force acting on it must be zero. Therefore, the magnitude of the tension force must be equal to the magnitude of the weight force.
Given that the weight force is 200N, we can calculate the mass of the bale using the equation:
Weight force = mass × acceleration due to gravity
Solving for mass:
mass = weight force / acceleration due to gravity
For the acceleration due to gravity, we usually take the value of 9.8 m/s².
Now we can find the mass of the bale:
mass = 200N / 9.8 m/s²
Calculating the above expression will give us the mass of the bale in kilograms.
Lastly, to find the acceleration of the bale, we use Newton's second law of motion:
Net force = mass × acceleration
Since the net force is zero (the bale isn't moving), we can set this equation up as:
0N = mass × acceleration
Rearranging the equation, we find:
acceleration = 0N / mass
Since anything divided by zero is undefined, the acceleration of the bale is zero.
Therefore, the acceleration of the bale hanging at the end of the rope is 0 m/s².