Question

While spinning in a centrifuge a 70.0 KG astronaut experiences an acceleration of 2.00g, or twice the acceleration due to gravity on the earth. What is the centripetal force acting on her?

A.)6.86*10^3N
B.)1.37*10^3N
C.)1.40*10^2N
D.)3.46*10^4N

Answer 1

The centripetal force acting on a 70.0 kg astronaut in a centrifuge experiencing an acceleration of 2.00g is 1.37×10³ N, corresponding to option B.) 1.37×10³ N. So the correct option is B

Step-by-step explanation:

The question asks for the calculation of the centripetal force acting on an astronaut spinning in a centrifuge experiencing an acceleration of twice the acceleration due to gravity. The acceleration due to gravity (g) is approximately 9.81 m/s², so 2.00g is 19.62 m/s². To find the centripetal force (Fc), we can use the formula Fc = m * ac, where m is the mass and ac is the centripetal acceleration.

For a 70.0 kg astronaut:

• m = 70.0 kg
• ac = 19.62 m/s²

Fc = 70.0 kg * 19.62 m/s²

Fc = 1373.4 N

This value can be rounded to two significant figures as 1.37×10³ N, which corresponds to option B.) 1.37×10³ N.

Answer 2

Centripetal acceleration is the force acting on the body who's moving in a circular motion. It is still a force, which according to Newton's Second Law of Motion,

F = ma
F = (70 kg)(2)(9.81 m/s²)
F = 1373.4 N

Thus, the answer is B.