Related questions with answers

A crate with a mass of 100 kg glides through a space station with a speed of 3.5 m/s. An astronaut speeds it up by pushing on it from behind with a force of 180 N, continually pushing with this force through a distance of 6 m. The astronaut moves around to the front of the crate and slows the crate down by pushing backward with a force of 170 N, backing up through a distance of 4 m. After these two maneuvers, what is the speed of the crate?

The two crates A and B of mass $m_A = 100 kg$ and $m_B = 70 kg,$ respectively, are connected by a system of pulleys. The system is initially at rest, when the man C starts pushing on A with a constant force P. Neglect the mass of the cables and the pulleys and neglect friction in the pulley bearings. Assume that cable segments are long enough so that crate A does not hit any of the pulleys. If $\mu_k = 0.3$ and P = 350 N, determine the distance the man needs to push the crate A to achieve a speed of 3 m/s.

In a control system, an accelerometer consists of a 4.70-g object sliding on a calibrated horizontal rail. A low-mass spring attaches the object to a flange at one end of the rail. Grease on the rail makes static friction negligible, but rapidly damps out vibrations of the sliding object. When subject to a steady acceleration of 0.800 g, the object should be at a location 0.500 cm away from its equilibrium position. Find the force constant of the spring required for the calibration to be correct.