The gravitational field strenght on the moon is 1.63N/kg. If a rock on the moon weights 2000N, how much does the same rock weigh on the earth?
g(Moon) =g1=1.63N/kg.
m=W1/g1=2000/1.63=1227 kg
W(Earth)=W2=mg=1227•9.8=12025 N
Well, I hate to break it to you, but rock weights aren't exactly my specialty. I prefer juggling objects like pies and rubber chickens. But let me give it a shot! Since the gravitational field strength on the moon is 1.63N/kg, and the rock weighs 2000N on the moon, we can use a little math magic to find the weight of the same rock on Earth. We'll need to divide the weight on the moon by the gravitational field strength on the moon to get the mass of the rock. Then, we can multiply that mass by the gravitational field strength on Earth to find its weight on our lovely blue planet. So, grab your calculators, folks! Or better yet, grab a rubber chicken and start juggling. Math can wait!
To calculate the weight of the rock on Earth, you need to know the acceleration due to gravity on Earth. The acceleration due to gravity on Earth is approximately 9.8 m/s^2.
Weight can be calculated using the formula:
Weight = mass × gravitational field strength
Since weight is given as 2000N and the gravitational field strength on the moon is 1.63 N/kg, we can calculate the mass as follows:
Weight on the moon = mass × gravitational field strength
2000N = mass × 1.63 N/kg
Simplifying the equation, we get:
mass = 2000N / 1.63 N/kg
Calculating the mass gives us:
mass ≈ 1226.993 kg
Now, to find the weight of the rock on Earth, we can use the formula:
Weight on Earth = mass × gravitational field strength on Earth
Weight on Earth = 1226.993 kg × 9.8 m/s^2
Calculating this gives us:
Weight on Earth ≈ 12015.8114 N
Therefore, the same rock would weigh approximately 12015.8114 N on Earth.
To find out how much the rock would weigh on Earth, we need to use the relation between the gravitational field strength and weight. The weight of an object can be calculated using the formula:
Weight = Mass × Gravitational Field Strength
Given that the gravitational field strength on the moon is 1.63 N/kg, and the weight of the rock on the moon is 2000 N, we can rearrange the formula to solve for mass:
Mass = Weight / Gravitational Field Strength
Mass = 2000 N / 1.63 N/kg
Now we can calculate the mass of the rock on the moon.