If a constant, nonzero force is applied to an object, what can you say about the velocity and acceleration of the object?
With the application of nonzero force, the velocity of the object changes, and the object accelerates.
Newton’s second law of motion states that the acceleration of a system is directly proportional to the net external force acting on the system and is inversely proportional to the mass of the system. Mathematically,
Hereis the net force,localid="1654171055645" is the mass, andlocalid="1654171210284" is the acceleration.
When a constant, nonzero force is applied to an object, then the object starts to accelerate. The acceleration of the body clearly indicates that the velocity of the object is changing.
Therefore, with the application of nonzero force, the velocity of the object changes, and the object accelerates
Commercial airplanes are sometimes pushed out of the passenger loading area by a tractor.
(a) An 1800-kg tractor exerts a force of 1.75×104 N backward on the pavement, and the system experiences forces resisting motion that total 2400 N. If the acceleration is 0.150 m/s2, what is the mass of the airplane?
(b) Calculate the force exerted by the tractor on the airplane, assuming 2200 N of the friction is experienced by the airplane.
(c) Draw two sketches showing the systems of interest used to solve each part, including the free-body diagrams for each.
Near the end of a marathon race, the first two runners are separated by a distance of 45 m. The front runner has a velocity of 3.50 m/s, and the second a velocity of 4.20 m/s. (a) what is the velocity of the second runner relative to the first? (b) If the front runner is 250 m from the finish line, who will win the race, assuming they run at constant velocity? (c) What distance ahead will the winner be when she crosses the finish line?
(a) What is the initial acceleration of a rocket that has a mass of 1.50×106 kg at takeoff, the engines of which produce a thrust of 2.00×106 N ? Do not neglect gravity.
(b) What is unreasonable about the result? (This result has been unintentionally achieved by several real rockets.)
(c) Which premise is unreasonable, or which premises are inconsistent? (You may find it useful to compare this problem to the rocket problem earlier in this section.)
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