Question

jackson chen
at the surface of jupiters moon io, the acceleration due to gravity is 1.81 m/s². if a piece of ice weighs 44.0n at the surface of the earth, (a)what is its mass on the earths surface? (b)what are its mass and weight on the surface of io?

Explanation:

Step1: 计算地球表面质量

地球重力加速度\(g_{earth}=9.8\ \text{m/s}^2\)，重量\(W_{earth}=44.0\ \text{N}\)，质量\(m=\frac{W_{earth}}{g_{earth}}=\frac{44.0}{9.8}\)

Step2: 计算Io表面质量和重量

质量不变，\(m_{Io}=m\)；Io重力加速度\(g_{Io}=1.81\ \text{m/s}^2\)，重量\(W_{Io}=m \cdot g_{Io}\)

Answer:

(a) 4.49 kg
(b) 质量：4.49 kg，重量：8.13 N