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Chapter 8: Problem 20

Which of the following statement(s) is/are wrong? (1) The mass of a moving object in the earth's atmosphere is zero. (2) The weight of an object at rest on the earth's surface can be zero. (3) The weight of a moving object in the earth's atmosphere can be 2 times its weight, when it is at rest on the earth's surface. (4) All the above

Short Answer

Expert verified
A. The mass of a moving object in the Earth's atmosphere is zero. B. The weight of an object at rest, on the Earth's surface, can be zero. C. The weight of a moving object in the Earth's atmosphere can be two times its weight when it is at rest on the Earth's surface. D. All of the above statements are wrong. Answer: A, C, and D are incorrect.

Step by step solution

01

Analyzing Statement 1

The statement claims that the mass of a moving object in the Earth's atmosphere is zero. We know that mass is an intrinsic property of an object and it does not change with the object's location or its motion. Therefore, the mass of a moving object in the Earth's atmosphere is not zero, and Statement 1 is incorrect.
02

Analyzing Statement 2

The statement claims that the weight of an object at rest on the Earth's surface can be zero. Weight is the force experienced by an object due to gravity and can be calculated using the formula W = mg, where m is the mass of the object and g is the acceleration due to gravity. For the weight of an object to be zero, either its mass or the acceleration due to gravity has to be zero. While the mass of an object cannot be zero, there may be special cases where the acceleration due to gravity at a very specific location is temporarily negated, such as when an object is in freefall. Thus, Statement 2 can be considered correct.
03

Analyzing Statement 3

The statement claims that the weight of a moving object in the Earth's atmosphere can be two times its weight when it is at rest on the Earth's surface. Weight is dependent on the acceleration due to gravity and the mass of the object. In the Earth's atmosphere, the acceleration due to gravity is nearly constant. As long as the object's mass remains constant, its weight in the Earth's atmosphere should be the same as its weight on the Earth's surface. Therefore, Statement 3 is incorrect.
04

Analyzing Statement 4

The statement claims that all the above statements are wrong, but we have determined that Statement 2 is correct. Therefore, Statement 4 is also incorrect.
05

Conclusion

Statements 1, 3, and 4 are wrong, while Statement 2 is correct.

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