Mass versus Weight

A specialized rover is designed to operate on both Earth (where gravitational acceleration is $10\text{ m/s}^2$) and an exoplanet (where gravitational acceleration is $15\text{ m/s}^2$). The rover carries a scientific payload that is measured to have a weight of $600\text{ N}$ on Earth. When the rover arrives on the exoplanet, it suspends the payload from a spring scale to verify its properties, and later pushes the payload horizontally across a frictionless ice field to accelerate it at $4\text{ m/s}^2$. What will the spring scale read, and what horizontal force must the rover apply?

A standard shipping crate is measured on Earth (where the acceleration due to gravity is $10 \text{ m/s}^2$) using a mechanical balance scale. The balance scale determines that the crate has a mass of $400 \text{ kg}$. The crate is then transported to a planetary outpost where the local gravitational acceleration is $4 \text{ m/s}^2$. At the outpost, the crate is hoisted using a heavy-duty spring scale. This spring scale was manufactured and calibrated on Earth to display mass in kilograms based on Earth's gravity. What numerical value will this spring scale display when weighing the crate at the outpost?

An engineer on an unknown planet evaluates a solid metallic crate using two different instruments. First, the crate perfectly balances on a double-pan beam balance against standard reference masses totaling $150\text{ kg}$. Second, the crate is suspended from a calibrated spring scale, which gives a reading of $600\text{ N}$. If the crate is transported back to Earth (where gravitational acceleration is $10\text{ m/s}^2$), what will the spring scale and the beam balance read, respectively?

A steel construction beam has a mass of $120 \text{ kg}$ on Earth, where the gravitational acceleration is approximately $10 \text{ m/s}^2$. The beam is subsequently transported to a lunar outpost, where the local gravitational acceleration is $1.6 \text{ m/s}^2$. What is the mass of the beam on the lunar outpost?

A newly designed lunar rover is being tested in a facility on Earth. The rover has a measured downward weight of $4500 \text{ N}$. Assuming the acceleration due to gravity on Earth is $10 \text{ m/s}^2$, what is the mass of the rover in kilograms?

Match each physical concept or measuring instrument to its correct characteristic or function regarding mass and weight.

A mining crew extracts a dense mineral boulder. In their vessel's main processing bay, where artificial gravity is maintained at $10 \text{ m/s}^2$, a spring scale indicates the boulder has a weight of $1500 \text{ N}$. The boulder is then transported to a storage facility on a small moon where the local gravitational acceleration is $2 \text{ m/s}^2$. What are the mass and weight of the boulder at the lunar storage facility?

An automated logistics drone is transporting a sealed supply crate. On Earth, where the gravitational acceleration is considered to be $10 \text{ m/s}^2$, the crate has a measured weight of $1400 \text{ N}$. The crate is then delivered to a controlled low-gravity research habitat where the local gravitational acceleration is maintained at $3.5 \text{ m/s}^2$.

What is the weight of the crate inside the low-gravity habitat in Newtons?

At an Earth-based testing facility (where $g = 10 \text{ m/s}^2$), a suspended spring scale reads $750 \text{ N}$ when a communications satellite module is attached to it. The module is later transported to a planetary outpost where the local gravitational acceleration is $4 \text{ m/s}^2$. Which of the following correctly identifies the module's mass and its new weight at the outpost?