High School

A uniform rope of mass 2 kg can tolerate a maximum tension of 80 N at any point. Find the maximum value of F that can be applied to the 2 kg block.

A) 112 N
B) 180 N
C) 126 N
D) 80 N

Answer :

Final answer:

The maximum force that can be applied to the 2 kg block is 19.6 N.

Explanation:

To find the maximum value of force, first we need to find the tension in the rope. Given that the rope can tolerate a maximum tension of 80 N, we can use Newton's second law to calculate the tension:

Tension = Mass * Acceleration

Since the mass of the rope is 2 kg and the acceleration is 9.8 m/s² (due to gravity), the tension in the rope is:

Tension = 2 kg * 9.8 m/s² = 19.6 N

The maximum force that can be applied to the 2 kg block is equal to the tension in the rope:

Maximum force = 19.6 N

]