Find the weight of a \(10\,\mathrm{kg}\) object near Earth using \(g=9.8\,\mathrm{m\,s^{-2}}\).

An object has weight \(490\,\mathrm{N}\) near Earth. Find its mass.

A \(70\,\mathrm{kg}\) astronaut is on a body where \(g=1.6\,\mathrm{m\,s^{-2}}\). Find the astronaut's weight there.

Near Earth, what is the direction of the weight force on a stationary object?

A \(60\,\mathrm{kg}\) person stands at rest in a lift. Find the normal force from the floor.

A \(60\,\mathrm{kg}\) person is in a lift accelerating upward at \(2.0\,\mathrm{m\,s^{-2}}\). Find the normal force.

A \(60\,\mathrm{kg}\) person is in a lift accelerating downward at \(3.0\,\mathrm{m\,s^{-2}}\). Find the normal force.

A \(15\,\mathrm{kg}\) probe weighs \(54\,\mathrm{N}\) on a planet. Find the planet's gravitational field strength and the probe mass inferred from these data.

An astronaut's mass is \(80\,\mathrm{kg}\). On a moon the astronaut's weight is \(128\,\mathrm{N}\). Find \(g\) on the moon, the astronaut's weight near Earth, and the ratio of Earth weight to moon weight.

A \(70\,\mathrm{kg}\) passenger in a lift sees a scale reading of \(750\,\mathrm{N}\) for \(4.0\,\mathrm{s}\), starting from rest. Immediately after, the scale reads \(620\,\mathrm{N}\) for \(2.0\,\mathrm s\). Find acceleration in each phase and final speed after \(6.0\,\mathrm s\).