Answer:
The weight of an astronaut plus his space suit on the Earth is 1,931.69 N.
Step-by-step explanation:
Newton's second law, called the fundamental law or fundamental principle of dynamics, states that a body accelerates if a force is applied to it. This law indicates that the net force applied on a body is proportional to the acceleration that the body acquires. The constant of proportionality is the mass of the body, so Newton's second law is expressed in the following formula:
F = m*a
Where:
- F is the net force. It is expressed in Newton (N)
- m is the mass of the body. It is expressed in kilograms (Kg).
- a is the acceleration that the body acquires. It is expressed in meters over second squared (m/s²).
The weight of an astronaut plus his space suit on the Moon is only 319 N. Then, being:
- F= weight= 319 N
- m= ?
- a = acceleration of the Moon's gravity, whose value is 1.62 m/s²
you get:
319 N= m* 1.62 m/s²
Solving:
m=196.91 kg
The mass is an invariable quantity, regardless of the planet in which the astronaut plus his space suit on the Moon is, then you have:
- F= weight= ?
- m= 196.91 kg
- a = acceleration of the Earth's gravity, whose value is 9.81 m/s²
replacing in the definition of force:
Weight= 196.91 kg* 9.81 m/s²
Weight= 1,931.69 N
The weight of an astronaut plus his space suit on the Earth is 1,931.69 N.