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STATEMENT -1 : You are sleeping . Now ...

STATEMENT -1 : You are sleeping . Now , earth suddenly stops attracting objects near its surface . You will start flying up . (Neglect earth's effect of rotation).
and
STATEMENT -2 : Normal force by surface of bed on you will be zero, if your weight becomes zero while you are sleeping .

A

Statement -1 True, Statement -2 is True , Statement - 2 is a correct explanation for Statement -1

B

Statement -1 is True , Statement -2 is True , Statement -2 is NOT a correct explanation for statement -1

C

Statement -1 is true, Statement -2 is False

D

Statement - 1 is False , Statement - 2 is True

Text Solution

AI Generated Solution

The correct Answer is:
To solve the problem, we need to analyze both statements provided in the question. ### Step 1: Analyze Statement 1 **Statement 1:** "You are sleeping. Now, Earth suddenly stops attracting objects near its surface. You will start flying up." - When you are sleeping on a bed, the gravitational force (weight) acting on you is given by \( mg \), where \( m \) is your mass and \( g \) is the acceleration due to gravity. - If Earth suddenly stops attracting objects, the gravitational force \( mg \) becomes zero because \( g = 0 \). - Since there is no gravitational force acting on you, there are no forces acting on you at that moment. - According to Newton's first law of motion, an object at rest will remain at rest unless acted upon by a net external force. - Therefore, you will not start flying up; instead, you will remain in your initial position. **Conclusion for Statement 1:** This statement is **false**. ### Step 2: Analyze Statement 2 **Statement 2:** "Normal force by the surface of the bed on you will be zero if your weight becomes zero while you are sleeping." - The normal force \( N \) is the force exerted by a surface to support the weight of an object resting on it. It acts perpendicular to the surface. - The normal force can be expressed as \( N = mg \). - If your weight becomes zero (which happens when \( g = 0 \)), then substituting into the equation gives \( N = 0 \). - This means that if your weight is zero, the normal force exerted by the bed on you will also be zero. **Conclusion for Statement 2:** This statement is **true**. ### Final Conclusion - **Statement 1 is false.** - **Statement 2 is true.** Thus, the correct option is: **Option D:** Statement 1 is false and Statement 2 is true.
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