A 4.8-kg block attached to an ideal spring executes simple h…

A 4.8-kg block attached to an ideal spring executes simple harmonic motion on a frictionless horizontal surface. At time t = 0.00 s, the block has a displacement of a velocity of and an acceleration of The force constant (spring constant) of the spring is closest to

A 6.52 gram bullet is fired into a 0.601 kg block attached t…

A 6.52 gram bullet is fired into a 0.601 kg block attached to the end of a 0.670 m non uniform rod of mass 0.698 kg. The block-rod-bullet system then rotates in the plane of the figure, about a fixed axis at A. The rotational inertia of the rod alone about A is 0.0550 kg m2. If the angular speed of the system about A just after impact is 1.96 rad/s, what is the bullet’s speed (in m/s) just before the impact? Treat the block as a particle.

Astronaut Jennifer’s lifeline to her spaceship comes loose a…

Astronaut Jennifer’s lifeline to her spaceship comes loose and she finds herself stranded, “floating” 100 m from the mothership. She suddenly throws her 2.00-kg wrench at 20 m/s in a direction away from the ship. If she and her spacesuit have a combined mass of 200 kg, how long does it take her to coast back to her spaceship?