Question

A child sits on a tire swing that is suspended by a single rope from a tree branch. What is the tension in the rope if the mass of the child and tire is 40 kg? a) 50 N b) 40 N c) 390 N d) 1600 N e) 4.1 N A 310 kg spacecraft weighs 820 N on the surface of Planet Zphyz. What is the acceleration due to gravity on the surface of Planet Zphyz?

Answer 1

The tension in the swing rope is 392 N, which is closest to option (c) 390 N, and the acceleration due to gravity on Planet Zphyz is approximately 2.645 m/s^2.

Step-by-step explanation:

Two aspects of Physics are being asked, one related to the tension in a rope and the other about the acceleration due to gravity on a different planet.

For the first part, the tension in the rope is equal to the weight of the child and the tire, which will be mass times the gravitational pull on Earth, 9.8 m/s^2. So, the tension equals 40 kg * 9.8 m/s^2 = 392 N, which is closest to option (c) 390 N.

For the second part, the acceleration due to gravity on Planet Zphyz can be calculated by taking the weight of the spacecraft and dividing it by its mass. So, 820 N / 310 kg = approximately 2.645 m/s^2.

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