The piece of exercise equipment shown below includes two handles that are on each end of two parallel springs, each with a stiffness 500 N/m. To build strength, a person holds the two handles and pulls them apart with equal magnitude forces applied in opposite directions to the handles, thus stretching the springs. Neglect the mass of the springs and assume that they are pulled horizontally.
In the lab, you connect one end of a 15 N/m spring to a ringstand, and you hang a 0.25-kg block from the other end of the spring. It hangs vertically in equilibrium.
A spring-loaded dart gun is used to shoot a 5-gram dart straight upward. Its spring has a stiffness 50 N/m, and its relaxed length is 5.0 cm. The spring is compressed 4.0 cm from its relaxed length.
The International Space Station orbits Earth at an altitude of about 350 km (from Earth's surface).
A spring-loaded dart gun is used to shoot a 5-gram dart straight upward. Its spring has a stiffness 50 N/m, and its relaxed length is 5.0 cm. The spring is compressed 4.0 cm from its relaxed length. What is the velocity of the dart when it leaves the spring (i.e. at the instant the spring returns to its relaxed length)? Apply the Momentum Principle iteratively in order to answer the question.
A comet of mass orbits Sun which has a mass . Use the following constants and initial conditions for the comet in your calculations.
Assume that Sun remains stationary during the orbit (i.e. it does not "wobble").
A planet of mass kg is at a location m. A star of mass kg is at a location m. What is the gravitational force by the star on the planet?