On planet X, an object weighs 18.1 N. On

planet B where the magnitude of the free-fall
acceleration is 1.28 g (where g = 9.8 m/s
2
is
the gravitational acceleration on Earth), the
object weighs 37.9 N.
The acceleration of gravity is 9.8 m/s
2
.
What is the mass of the object be on Earth?
Answer in units of kg

See previous post: Fri, 11-28-14, 9:52 PM.

To find the mass of the object on Earth, we can use the formula for weight:

Weight = mass * acceleration due to gravity

On planet B, the object weighs 37.9 N, and the acceleration due to gravity is 1.28 times the acceleration on Earth (9.8 m/s^2). Therefore:

37.9 N = mass * (1.28 * 9.8 m/s^2)

Let's first calculate the value in brackets on the right side:

1.28 * 9.8 m/s^2 = 12.544 m/s^2

Now we can rearrange the equation to solve for the mass:

mass = weight / acceleration

mass = 37.9 N / 12.544 m/s^2

mass ≈ 3.024 kg

Therefore, the mass of the object on Earth is approximately 3.024 kg.

To find the mass of the object on Earth, we can use the formula for weight:

Weight = mass * acceleration due to gravity

On Planet X, the weight of the object is given as 18.1 N. Since the acceleration due to gravity on Planet X is not mentioned, we can assume it to be the same as Earth's, which is 9.8 m/s^2. Therefore, on Planet X:

Weight on Planet X = mass * 9.8

Rearranging the equation, we can solve for mass:

mass = Weight on Planet X / 9.8

Substituting the given value, we get:

mass = 18.1 N / 9.8 m/s^2

Calculating this, we find the mass of the object on Planet X to be approximately 1.85 kg.

To find the mass of the object on Earth, we need to use the weight given on Planet B. On Planet B, the weight is 37.9 N and the acceleration due to gravity is given as 1.28 g (where g is the acceleration due to gravity on Earth).

Since g = 9.8 m/s^2, the acceleration due to gravity on Planet B is 1.28 * 9.8 = 12.54 m/s^2. Therefore, on Planet B:

Weight on Planet B = mass * 12.54

Rearranging the equation, we can solve for mass:

mass = Weight on Planet B / 12.54

Substituting the given value, we get:

mass = 37.9 N / 12.54 m/s^2

Calculating this, we find the mass of the object on Planet B to be approximately 3.02 kg.

Therefore, the mass of the object on Earth is also approximately 3.02 kg.