(fill in the blanks) The mass of a 300 g object is _______(a). Its weight on Earth is _______(b). An object that weighs 20N on earth has a mass on the moon equal to ________(c)
0.300 Kg
0.300 * 9.81 Newtons
C is a trick question. The weight changes BUT THE MASS DOES NOT
20 N / 9.81 = 2.04 Kg
The mass of the object in number 2 is 300 grams. What is the density of the object? (just enter the number)
a) 0.3 kg
b) 2.943 kg
c) 2.04 kg
To fill in the blanks, we need to understand the concepts of mass and weight.
(a) The mass of a 300 g object is given as 300 g. Mass is a measure of the amount of matter an object contains, and it is typically measured in grams (g) or kilograms (kg). In this case, the mass is already provided, so the answer to (a) is 300 g.
(b) The weight of an object is the force exerted on it due to gravity. On Earth, the weight of an object can be determined using the formula: weight = mass x gravitational acceleration. The gravitational acceleration on Earth is approximately 9.8 m/s^2.
To find the weight of the 300 g object on Earth, we can use the formula:
weight = mass x gravitational acceleration
weight = 300 g x 9.8 m/s^2
Now we need to ensure that the units are consistent. The unit of mass is grams, but the unit of weight is Newtons (N). To convert grams to Newtons, we need to use the conversion factor: 1 N = 1 kg x m/s^2.
Converting the mass from grams to kilograms:
mass = 300 g / 1000 (since there are 1000 grams in a kilogram)
mass = 0.3 kg
Now we can calculate the weight:
weight = mass x gravitational acceleration
weight = 0.3 kg x 9.8 m/s^2 = 2.94 N
Therefore, the weight of the 300 g object on Earth is approximately 2.94 N.
(c) To find the mass of an object on the moon based on its weight on Earth, we need to understand that the acceleration due to gravity on the moon is approximately 1/6th that of Earth (approximately 1.6 m/s^2).
Using the formula weight = mass x gravitational acceleration, we can rearrange the equation to solve for mass:
mass = weight / gravitational acceleration
For an object that weighs 20 N on Earth, the mass on the moon would be:
mass = 20 N / 1.6 m/s^2 = 12.5 kg
Therefore, an object that weighs 20 N on Earth would have a mass on the moon equal to approximately 12.5 kg.