Below are sets of values for the spring constant k, damping constant b, and mass m for a particle in damped harmonic motion. which of the sets takes the longest time for its mechanical energy to decrease to one-fourth of its initial value? k = k_0, b = b_0, and m = m_0 k = 3k_0, b = 2b_0, and m = m_0 k = k_0/2, b = 6b_0, and m = 2m_0 k = 4k_0, b = b_0, and m = 2 m_0 k = k_0, b = b_0, and m = 10m_0

How much work is done lifting a 9.10 kg box straight up onto a shelf that is 1.80 m high?

A250-n box is at rest on a frictionless horizotal floor. then a person shoves the box with a non-zero force of magnitude p. which statement best describes the relationship betweeen p and the motion of the box after it was shoved? -the box will not move when p< 250n but otherwise will accelerate at a constant rate that is directly proportional to p - the box will begin moving at a speed that is directly proportional to p, then will gradually slow to a halt -the box will move with constant velocity at a speed that is directly proportional to p -box will accelerate across the floor at a constant rate that is directly proportional to p

Acaterpillar tries to climb straight up a wall a meter high, but for every 2 cm up it climbs, it slides down 1 cm. eventually, it reaches the top. when it reaches the top, it does not pull itself over so it will slide down 1 cm. what is the total displacement traveled?