Question

The length of nylon rope from which a mountain climber is suspended has a force constant of (1.40 times 10^4 N/m). If the climber's mass is (70.0 kg), what is the gravitational force acting on the climber?

a) (686 N)
b) (6860 N)
c) (9.8 N)
d) (14000 N)

Answer 1

The gravitational force acting on a 70.0 kg mountain climber is calculated using the formula F = m × g and is found to be 686 N.

Step-by-step explanation:

The question pertains to the gravitational force acting on a mountain climber. To calculate the gravitational force, we use the formula F = m × g, where F is the gravitational force, m is the mass of the climber, and g is the acceleration due to gravity. The mass of the climber is given as 70.0 kg and the acceleration due to gravity (g) is typically 9.8 m/s². Therefore, the gravitational force acting on the climber is F = 70.0 kg × 9.8 m/s², which equals 686 N. Hence, the correct answer is a) (686 N).