The weight of an object on the moon varies directly with its weight on Earth. An astronaut who weighs 84 kg on Earth weighs only 14 kg on the moon.A lunar landing craft weighs 2449 kg when on the moon. Calculate the weight of this landing craft when on Earth.   (2 marks).

Step 1: Understand the relationship between the weights on Earth and the Moon. The problem states that the weight of an object on the moon varies directly with its weight on Earth. This means that the ratio of the weight on the Moon to the weight on Earth is constant.

Step 2: Use the given information to find this ratio. The astronaut weighs 84 kg on Earth and 14 kg on the Moon. So, the ratio of the weight on the Moon to the weight on Earth is 14/84 = 1/6.

Step 3: Apply this ratio to find the weight of the lunar landing craft on Earth. The craft weighs 2449 kg on the Moon. Since the weight on Earth is 6 times the weight on the Moon (from the ratio we found), the weight on Earth would be 6 * 2449 kg = 14694 kg.

So, the lunar landing craft would weigh 14694 kg on Earth.