The same astronaut visited Pluto. His weight on Earth was still 170 pounds, and his weight on Pluto was only 10 pounds. He removed an ice core with a weight of 25 pounds on Pluto. What is the weight of the ice core on Earth?
A. 1.5 pounds
B. 15 pounds
C. 42.5 pounds
D. 425 pounds
The answer is 425
Wt. = (170/10) * 25 =
To find the weight of the ice core on Earth, we need to take into account the difference in weight between Earth and Pluto.
The astronaut's weight on Earth is 170 pounds, and his weight on Pluto is 10 pounds. This means that the weight on Pluto is 1/17th of the weight on Earth.
To find the weight of the ice core on Earth, we can use the same ratio. The weight of the ice core on Pluto is 25 pounds. So, the weight of the ice core on Earth can be calculated as:
Weight on Earth = Weight on Pluto * (Weight on Earth / Weight on Pluto)
Weight on Earth = 25 pounds * (170 pounds / 10 pounds)
Weight on Earth = 25 pounds * 17
Weight on Earth = 425 pounds
Therefore, the weight of the ice core on Earth is 425 pounds.
So, the correct answer is D. 425 pounds.
To find the weight of the ice core on Earth, we need to apply the concept of gravitational force. Weight is a measure of the force of gravity acting on an object. The formula to calculate weight is:
Weight = Mass x Gravitational Acceleration
Since we are given the weights on Earth and Pluto, we can set up a proportion to find the mass of the astronaut. We know that his weight on Earth is 170 pounds and his weight on Pluto is 10 pounds. Let's call the mass of the astronaut M:
170 pounds / 10 pounds = M on Earth / M on Pluto
Cross-multiplying gives us:
10M = 170M on Pluto
Simplifying the equation, we have:
10M = 170M
M = 170M / 10
M = 17
So, the mass of the astronaut is 17.
Now, to find the weight of the ice core on Earth, we can plug the values into the formula:
Weight on Earth = Mass x Gravitational Acceleration
Given that the weight on Pluto is 25 pounds and the gravitational acceleration on Pluto is approximately 0.06 times that of Earth's, we calculate the weight of the ice core on Earth as:
Weight on Earth = 25 pounds x (1/0.06)
Weight on Earth = 416.67 pounds
Rounding to the nearest whole number, the weight of the ice core on Earth is approximately 417 pounds.
Therefore, the correct answer is:
D. 425 pounds.