On Earth at sea level, a rope can sustain a maximum force of 49.8 N before breaking. What is the weight of the heaviest object it can lift vertically while accelerating with a magnitude of 1.66 m/s2 ? (without breaking)

A 5.0 kg mass is attached to the ceiling of an elevator by a rope whose mass is negligible. What force does the mass exert on the rope when the elvator has an acceleration of 4.0 m/s2 upward?

A freight train has a mass of 1.1 ✕ 107 kg. If the locomotive can exert a constant pull of 7.4 ✕ 105 N, how long does it take to increase the speed of the train from rest to 74 km/h?

A 45 kg box hangs from a rope. What is the tension in the rope if:(a) the box is at rest?(b) the box is rising with a constant velocity of 4.0 m/s?(c) the box is rising and speeding up at 4.5 m/s2?

Consider a person standing on a scale in an elevator. If the elevator accelerates upwards with an acceleration of 1.47 m/s2 and the person has a mass of 98.1 kg, what would the scale read? HINT: you need to take into account the acceleration due to gravity, as well as that of the elevator.

A 74.1-kg crate is suspended between the floor and the ceiling using two spring scales, one attached to the ceiling and one to the floor. If the lower scale reads 120 N, what is the reading of the upper scale? Ignore the weights of the scales.

A "doomsday" asteroid with a mass of 1.0 × 1010 kg is hurtling through space. Unless the asteroid's speed is changed by about 0.25 cm/s, it will collide with Earth and cause tremendous damage. Researchers suggest that a small "space tug" sent to the asteroid's surface could exert a gentle constant force of 2.4 N . For how long must this force act?

A woman stands on a scale while riding in an elevator. When the elevator is at rest, the scale reads 60kg. What will be the reading of the scale in kg when the elevator accelerates. (a) upward at 1.2 m/s^2. (b) downward at 1.2 m/s^2. (c) At what acceleration of the elevator would the person appear to be weightless? Draw the FBD of the problem.