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Chapter 1: Problem 24

Which of the following statements is/are incorrect? (1) The weight of a body can be zero. (2) The weight of a body can be greater than zero. (3) The mass of a body can be zero. (4) Both (1) and (3)

Short Answer

Expert verified
a) The weight of a body can be zero. b) The weight of a body can be greater than zero. c) The mass of a body can be zero. d) Both (1) and (3). Answer: c) The mass of a body can be zero, and d) Both (1) and (3).

Step by step solution

01

Examine Statement 1

The weight of a body can be zero. To determine if this statement is correct, we have to think about the definition of weight. Weight is the force that acts on an object due to gravity, which can be calculated as weight = mass * acceleration due to gravity (W = m * g). If there is no gravitational force acting on the object, its weight will be zero. This is the case when an object is in space or in freefall, so this statement is correct.
02

Examine Statement 2

The weight of a body can be greater than zero. A body will have a non-zero weight when it is under the influence of gravity. This is true for objects on Earth or any other celestial body with a gravitational force. Therefore, this statement is also correct.
03

Examine Statement 3

The mass of a body can be zero. Mass is a measure of the amount of matter in an object. As long as an object exists, it will have some amount of matter in it, which means it will have a non-zero mass. Thus, it is impossible for an object to have zero mass. This statement is incorrect.
04

Examine Statement 4

Both (1) and (3). This statement is claiming that both statements 1 and 3 are incorrect. However, we have already established that statement 1 is correct, and statement 3 is incorrect. Therefore, this statement is also incorrect.
05

Conclusion

Based on our analysis, we conclude that statements (3) and (4) are incorrect.

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