How much gravitational force acts between two people of mass 60 kg eac...
F= G m1m2/r^2.F= 6.67× 10^-11 × 60 × 60/1^2.F= 6.67 × 3600 × 10^-11/1.F= 24012 × 10^-11.F= 2.4 × 10^-7.
How much gravitational force acts between two people of mass 60 kg eac...
Gravitational force is the force of attraction between two objects due to their masses. It is given by the equation:
F = G * (m1 * m2) / r^2
Where:
- F is the gravitational force
- G is the gravitational constant (approximately 6.674 × 10^-11 Nm^2/kg^2)
- m1 and m2 are the masses of the two objects
- r is the distance between the centers of the two objects
In this case, we have two people with a mass of 60 kg each, and they are sitting at a distance of 1 m apart. We need to calculate the gravitational force between them.
Let's plug in the values into the equation:
F = (6.674 × 10^-11 Nm^2/kg^2) * (60 kg * 60 kg) / (1 m)^2
Simplifying the equation:
F = (6.674 × 10^-11 Nm^2/kg^2) * (3600 kg^2) / 1 m^2
F = 240,840 × 10^-11 Nm^2/kg
To express the answer in scientific notation, we need to move the decimal point to the left until there is only one digit to the left of the decimal point:
F = 2.4084 × 10^5 × 10^-11 Nm^2/kg
Combining the exponents:
F = 2.4084 × 10^-6 N
So, the gravitational force between the two people is approximately 2.4 × 10^-6 N.
The closest option to this answer is option B: 2.4 × 10^-7 N.