Calculate the weight of a 65 kg person on earth
The Correct Answer and Explanation is :
To calculate the weight of a 65 kg person on Earth, we can use the formula for weight, which is:
[ \text{Weight} = \text{mass} \times \text{gravity} ]
In this case, the mass of the person is 65 kg, and the acceleration due to gravity on Earth is approximately ( 9.81 \, \text{m/s}^2 ).
So, the calculation becomes:
[ \text{Weight} = 65 \, \text{kg} \times 9.81 \, \text{m/s}^2 ]
Calculating this gives:
[ \text{Weight} = 637.65 \, \text{N} ]
Thus, the weight of a 65 kg person on Earth is approximately 637.65 Newtons (N).
Explanation
Weight is a measure of the force exerted on an object due to gravity. While mass is a measure of the amount of matter in an object (expressed in kilograms), weight is the gravitational force acting on that mass. This relationship is crucial for understanding how objects behave in different gravitational fields.
On Earth, gravity is relatively constant at about ( 9.81 \, \text{m/s}^2 ). This means that for every kilogram of mass, there is a force of approximately 9.81 Newtons pulling it toward the center of the Earth. Therefore, to find an object’s weight, you multiply its mass by the acceleration due to gravity.
This calculation can change based on location. For instance, gravity is slightly weaker at higher altitudes or different planetary bodies. For example, a 65 kg person would weigh significantly less on the Moon (about 1/6th of their Earth weight) due to the Moon’s lower gravitational pull.
Understanding weight is important in various fields, including physics, engineering, and health sciences, as it affects how objects move, how structures are built, and how individuals experience forces in their daily lives.