Newton's Second Law of Motion and Gun Acceleration

Scientists are experimenting with a kind of gun that may eventually be used to fire payloads directly into orbit. In one test, this gun accelerates a 5.0-kg projectile from rest to a speed of 4.0 x 10^3 m/s^2. The net force accelerating the projectile is 4.9 x 10^5 N. How much time is required for the projectile to come up to speed?

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Solution. Denote the net force accelerating the projectile by F, denote the acceleration of the projectile by a, ...

Solution Summary

The solution shows how to calculate the time needed to accelerate to certain speed by using Newton's second law.

If a body is subjected to several forces, we must first find the net force on the body and then apply F=ma to determine its acceleration.
For instance: A pail of water of mass 20 kg is being lifted by a rope from a well. It is ascending with an acceleration of 2 m/s^2. Determine tension in the rope.

The following equations describe the motion of a system of two objects:
+n - (5.00 kg)(9.8 m/s2)cos 15.0° = 0
fk = 0.360n
+T + (5.00 kg)(9.8 m/s2)sin 15.0° - fk = (5.00 kg)a
-T + (3.10 kg)(9.8 m/s2) = (3.10 kg)a
(a) Solve the equations for a and T.
a (in m/s2)=
T (in N)=
In what situation might these equations be u

Two crates, of mass 75 kg and 107 kg, are in contact and at rest on a horizontal surface. A 732 N force is exerted on the 75 kg crate.
If the coefficient of kinetic friction is 0.15, calculate the following:
(a) the acceleration of the system in m/s/s.
(b) the force that each crate exerts on the other in N.

An airplane has a mass of 3.1 x 10^4 kg and takes off under the influence of a constant net force of 3.7 x 10^4 N. What is the net force that acts on the plane's 78-kg pilot?

Have a couple of puzzling questions having trouble answering.
1. Since the force that acts on a bullet when a gun is fired is equaland opposite to the force that cats on the gun, does this imply a zero net force and therefore the impossibility of an accelerating bullet? Explain
2. When you jump upward the earth recoils bac

Please see the attached file for full description and diagram.
Two objects are connected by a light string that passes over a friction-less pulley. The incline is friction-less, m1 = 2.00 kg, m2 = 6.00 kg, and theta = 55.0 degrees. Answer the following and show all work.
Find:
a) the acceleration of the objects
b) the te

An athlete whose mass is m is performing weight-lifting exercises. Starting from the rest position, he lifts, with constant acceleration, a barbell that weighs w. He lifts the barbell a distance of x in a time of t.
Use Newton'slaws to find the total force that his feet exert on the ground as he lifts the barbell.
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