Question
An object's weight on Earth is 90N. Calculate this object's weight on field strength is 9.9N/kg. Assume Earth's gravitational field strength is 9.8N/kg. Give your answer to 2 decimal places if needed.
Answer
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(202 Votes)
Yael
Master · Tutor for 5 years
Answer
Let's compute the weight of the object on Saturn given the gravitational field strength on Saturn and Earth. First, we need the mass of the object using the formula weight=mass*gravity i.e.,m = We/ge = 90N/9.8N/kg = 9.18367 kg Now that we have the mass and since weight is just mass multiplied by the gravity of the volume of space it's in, so for the weight object on Saturn:Ws = m * gs = 9.18367 kg * 9.9 N/kg = 90.91 N So, to 2 decimal places, the weight of the object on Saturn would be given as 90.91 N.
Explanation
In this scenario, we need to calculate the weight of an object on another planet ie., Saturn given its weight on Earth and we're accounting for the differences in gravitational pull. Specifically, we understand weight to be a measure of the force of gravity acting on a mass. Therefore, the weight of an object is related to its mass and the gravitational field strength, and can be presented with the formula W=mg, where 'W' symbolizes weight, 'm' is mass and 'g' is the gravitational field strength. Given:Weight on Earth, We = 90 NGravitational field strength on Earth, ge = 9.8 N/kgGravitational field strength on Saturn, gs = 9.9 N/kgWe can find the mass by rearranging the formula to m = We/ge. We can then plug this mass value into the weight formula we initially presented but solved for Saturn’s gravity this time: Ws= m*gs. Using these relations, we can get the weight of the object in Saturn. Let's continue with the calculation.