Answer:
![W_(Planet) = (W_(Earth))/(g)* a](https://img.qammunity.org/2020/formulas/physics/college/52oppip0wu6bkglul2c43ptceat6c2mzbh.png)
Step-by-step explanation:
We know that weight of an object on Earth is,
![W_(Earth) = m* g](https://img.qammunity.org/2020/formulas/physics/college/bf7rb9vrgzc9k8m67n6bmrc16gj2b9enyi.png)
Thus,
![m = (W_(Earth))/(g)](https://img.qammunity.org/2020/formulas/physics/college/cyqbaxtjq6x9s1joalam8z3f4bqsyzrg0x.png)
where,
m = mass of an object, which is constant and is independent of gravity
g = acceleration due to gravity on Earth
On the new planet, gravity = a
Thus the weight of the object on the new planet will be
![W_(Planet) = m* a](https://img.qammunity.org/2020/formulas/physics/college/rtioolusgumljwwttc1wko2ojjyk6o4s7t.png)
![W_(Planet) = (W_(Earth))/(g)* a](https://img.qammunity.org/2020/formulas/physics/college/52oppip0wu6bkglul2c43ptceat6c2mzbh.png)