Calculate the force of gravity on a 1 kg mass at Earth's surface. The mass of Earth is 6.0×10^24 kg , and its radius is 6.4×10^6 m.
To calculate the force of gravity on a 1 kg mass at Earth's surface, we can use the formula for gravitational force:
F = (G * m1 * m2) / r^2
Where:
F is the force of gravity,
G is the universal gravitational constant (approximately 6.67 x 10^-11 Nm^2/kg^2),
m1 is the mass of the first object,
m2 is the mass of the second object, and
r is the distance between the centers of the two objects.
In this case, the mass of the Earth (m1) is given as 6.0x10^24 kg and the mass of the 1 kg object (m2) is 1 kg. The radius of the Earth (r) is given as 6.4x10^6 m.
Plugging in the values into the formula, we have:
F = (6.67 x 10^-11 Nm^2/kg^2 * 1 kg * 6.0x10^24 kg) / (6.4x10^6 m)^2
Simplifying this equation, we get:
F = 60 N
Therefore, the force of gravity on a 1 kg mass at Earth's surface is 60 N.