Question

Bryce, a mouse lover, keeps his four pet mice in a roomy cage, where they spend much of their spare time, when they're not sleeping or eating, joyfully scampering about on the cage's floor. Bryce tracks his mice's health diligently and just now recorded their masses as 0.01770.0177 kg, 0.01430.0143 kg, 0.02110.0211 kg, and 0.02510.0251 kg. At this very instant, the ?‑x‑ and ?‑y‑components of the mice's velocities are, respectively, (0.341 m/s,−0.235 m/s)(0.341 m/s,−0.235 m/s), (−0.289 m/s,−0.677 m/s)(−0.289 m/s,−0.677 m/s), (0.265 m/s,0.765 m/s)(0.265 m/s,0.765 m/s), and (−0.437 m/s,0.387 m/s)(−0.437 m/s,0.387 m/s). Calculate the ?‑x‑ and ?‑y‑components of Bryce's mice's total momentum, ??px and ??py.

In a ballistic pendulum experiment, a small marble is fired into a cup attached to the end of a pendulum. If the mass of the marble is 0.0235 kg0.0235 kg and the mass of the pendulum is 0.250 kg,0.250 kg, how high ℎh will the pendulum swing if the marble has an initial speed of 5.75 m/s?5.75 m/s? Assume that the mass of the pendulum is concentrated at its end so that linear momentum is conserved during this collision.

Answer 1