Final answer:
The weight of a flea with a mass of 200μg is 1.96 x 10^-6 N when using the formula for gravitational force, where the mass is converted from micrograms to kilograms before applying the gravitational acceleration of 9.8 m/s^2.
Step-by-step explanation:
The question asks how many Newtons an ordinary flea weighs if it has a mass of 200μg. To find the force (in newtons) due to gravity acting on the flea, we utilize the formula F = ma, where F is the force in newtons, m is the mass in kilograms, and a is the acceleration due to gravity (9.8 m/s2 on Earth).
First, we need to convert the mass from micrograms to kilograms: 200μg = 200 x 10-6 g = 200 x 10-9 kg. Then we apply the formula:
F
=
m
x
a
= (200 x 10
-9
kg) x (9.8 m/s
2
) = 1.96 x 10
-6
N.
The weight of the flea in newtons is 1.96 x 10-6 N.
The weight of an object can be calculated using the formula: weight = mass x acceleration due to gravity. In this case, the mass of the flea is given as 200μg, which is equivalent to 200 x 10^-9 kg. The acceleration due to gravity on Earth is approximately 9.8 m/s^2. So, the weight of the flea can be calculated as:
weight = mass x acceleration due to gravity = 200 x 10^-9 kg x 9.8 m/s^2 = 1.96 x 10^-6 N