A 2kg box is suspended from the ceiling by a rope that weighs 1kg.find the tension at the top of the rope?
30 N
To find the tension at the top of the rope, we need to take into account the weight of the box and the weight of the rope.
First, let's calculate the weight of the box:
Weight of the box = mass × acceleration due to gravity
Weight of the box = 2 kg × 9.8 m/s² (acceleration due to gravity)
Weight of the box = 19.6 N
Now, let's calculate the weight of the rope:
Weight of the rope = mass × acceleration due to gravity
Weight of the rope = 1 kg × 9.8 m/s²
Weight of the rope = 9.8 N
Since the tension at the top of the rope is the net force acting on the system, we need to consider both the weight of the box and the rope. In this case, the tension at the top of the rope is the sum of the weights of the box and the rope.
Tension at the top of the rope = Weight of the box + Weight of the rope
Tension at the top of the rope = 19.6 N + 9.8 N
Tension at the top of the rope = 29.4 N
Therefore, the tension at the top of the rope is 29.4 Newtons.