A body weight 200N on the surface of the earth. How much will it weigh...
the correct answer is option c=10N
A body weight 200N on the surface of the earth. How much will it weigh...
Weight at the Surface of the Earth:
- The weight of an object is the force of gravity acting on it.
- On the surface of the Earth, the weight of an object can be calculated using the formula W = mg, where W is the weight, m is the mass of the object, and g is the acceleration due to gravity.
Weight Halfway Down to the Center of the Earth:
- As an object moves towards the center of the Earth, the force of gravity acting on it decreases.
- This is because the mass below the object is decreasing as it gets closer to the center.
- The net gravitational force acting on the object is the difference between the gravitational force above and below it.
Explanation:
- At the surface of the Earth, the weight of the object is 200N.
- Halfway down to the center of the Earth, the mass below the object is half the mass of the Earth.
- Therefore, the gravitational force acting on the object halfway down is half the gravitational force at the surface.
- Since weight is directly proportional to the gravitational force, the weight halfway down to the center of the Earth will also be half of the weight at the surface.
Calculating the Weight Halfway Down:
- If the weight at the surface is 200N, the weight halfway down will be 200N/2 = 100N.
Answer:
- The weight halfway down to the center of the Earth is 100N.
- Therefore, the correct option is 3) 100N.