Jessica, who mass is 55 kg, is 3.50 meters away from a 0.20 kg bag of Fig Newtons. What is the gravitational force between Jessica and the cookies?
To calculate the gravitational force between Jessica and the bag of Fig Newtons, we can use Newton's law of universal gravitation. The formula is:
F = G * (m1 * m2) / r^2
Where:
- F is the gravitational force
- G is the gravitational constant (approximately 6.67 x 10^-11 Nm^2/kg^2)
- m1 is the mass of the first object (Jessica's mass in this case)
- m2 is the mass of the second object (the mass of the bag of Fig Newtons)
- r is the distance between the centers of the two objects (3.50 meters in this case)
So, let's calculate the gravitational force:
F = (6.67 x 10^-11 Nm^2/kg^2) * ((55 kg) * (0.20 kg)) / (3.50 meters)^2
First, calculate the product of the masses:
(55 kg) * (0.20 kg) = 11 kg
Next, calculate the square of the distance:
(3.50 meters)^2 = 12.25 square meters
Now, substitute these values into the formula:
F = (6.67 x 10^-11 Nm^2/kg^2) * (11 kg) / (12.25 square meters)
F = (6.67 x 10^-11 Nm^2/kg^2) * (11 kg) / 12.25
F = 6.0037561 x 10^-11 N
Therefore, the gravitational force between Jessica and the bag of Fig Newtons is approximately 6.0037561 x 10^-11 Newtons.