1. **Problem Statement:** A satellite orbits Earth with tangential velocity $v$. We need to determine the direction of the centripetal force acting on the satellite. 2. **Key Concept:** Centripetal force is the net force causing an object to move in a circular path. It always points toward the center of the circle. 3. **Relevant Forces:** The gravitational force between Earth and the satellite acts as the centripetal force, pulling the satellite toward Earth's center. 4. **Tangential Velocity:** The velocity $v$ is tangent to the orbit, meaning it is perpendicular to the radius (line from Earth’s center to the satellite). 5. **Direction of Forces:** - Gravitational force points toward Earth’s center. - Centripetal force must point toward the center to keep the satellite in orbit. - Tangential velocity points perpendicular to the radius, along the orbit path. 6. **Conclusion:** The centripetal force direction is the same as the gravitational force direction, both pointing inward toward Earth’s center. **Final answer:** A. same direction as the gravitational force