The weight of an object on Earth is 350 newtons. On Mars, the same object would weigh 134 newtons. What is the acceleration due to gravity on the surface of Mars, given that it is 9.8 meters/second2 on Earth?
g = W/m = 134/35.71 = 3.75 meters/second2
To calculate the acceleration due to gravity on Mars, we can use the ratio of the weights of the object on Earth and Mars.
The weight of an object is given by the formula:
Weight = mass × acceleration due to gravity
We know that on Earth, the weight is 350 newtons, and the acceleration due to gravity is 9.8 meters/second^2. Thus, we can rearrange the formula to find the mass of the object:
mass = Weight / acceleration due to gravity
On Earth:
mass on Earth = 350 newtons / 9.8 meters/second^2 = 35.71 kilograms (approximately)
Now, we can use the mass on Earth to find the mass on Mars:
mass on Mars = mass on Earth
Next, we can rearrange the weight formula to find the acceleration due to gravity on Mars:
acceleration due to gravity on Mars = weight on Mars / mass on Mars
Given that the weight on Mars is 134 newtons, we can substitute the values:
acceleration due to gravity on Mars = 134 newtons / 35.71 kilograms = 3.75 meters/second^2 (approximately)
Therefore, the acceleration due to gravity on the surface of Mars is approximately 3.75 meters/second^2.
m=W/g=W1/g1
g1=g•W1/W