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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 $5.0-\mathrm{kg}$ projectile from rest to a speed of $4.0 \times 10^{3} \mathrm{m} / \mathrm{s}$ . The net force accelerating the projectile is $4.9 \times 10^{5} \mathrm{N}$ . How much time is required for the projectile to come up to speed?

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0.041 $\mathrm{s}$

Physics 101 Mechanics

Chapter 4

Forces and Newton’s Laws of Motion

Newton's Laws of Motion

Applying Newton's Laws

Cornell University

Rutgers, The State University of New Jersey

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Lectures

03:28

Newton's Laws of Motion are three physical laws that, laid the foundation for classical mechanics. They describe the relationship between a body and the forces acting upon it, and its motion in response to those forces. These three laws have been expressed in several ways, over nearly three centuries, and can be summarised as follows: In his 1687 "Philosophiæ Naturalis Principia Mathematica" ("Mathematical Principles of Natural Philosophy"), Isaac Newton set out three laws of motion. The first law defines the force F, the second law defines the mass m, and the third law defines the acceleration a. The first law states that if the net force acting upon a body is zero, its velocity will not change; the second law states that the acceleration of a body is proportional to the net force acting upon it, and the third law states that for every action there is an equal and opposite reaction.

03:43

In physics, dynamics is the branch of physics concerned with the study of forces and their effect on matter, commonly in the context of motion. In everyday usage, "dynamics" usually refers to a set of laws that describe the motion of bodies under the action of a system of forces. The motion of a body is described by its position and its velocity as the time value varies. The science of dynamics can be subdivided into, Dynamics of a rigid body, which deals with the motion of a rigid body in the frame of reference where it is considered to be a rigid body. Dynamics of a continuum, which deals with the motion of a continuous system, in the frame of reference where the system is considered to be a continuum.

02:36

Scientists are experimenti…

01:39

01:15

A projectile is fired stra…

05:42

A projectile launched from…

01:07

Speeding bullet $\quad$ A …

02:40

A rifle is aimed horizonta…

03:34

02:59

A projectile is fired from…

02:34

Engineers are developing n…

06:15

A projectile is fired at a…

09:08

Speeding bullet $A$ 45-cal…

03:44

The projectile is fired at…

04:29

A cannonball is fired with…

in this question that candle fires a projectile by applying force or 4.9 times 10 to the fifth. Newton's on it, and by doing that it gave off, making its velocity change from 0 to 4 times 10 to the third meter. Spare. Second. Doing that, the man's off. This projectile is it was Christ kilograms catheter mind. How much time does it take? What's the velocity to change from 0 to 4 times 10 to the turn? We begin by remembering that decorations behind as a variation, velocity divided by the time it takes for the variation toe occur. Then we can sew for the tea here by sending this time to the underside of this term to the other side. This gives us Dougherty, you close to doctors. They divided by declaration. And this is the equation. We will be using this question. The variation in the velocity is requested for time. Stand to the third, and the only thing we don't know now is the acceleration. For that. We can use Newton's second law. We say that then that force is the coast to the mass off the projectile times acceleration. The net force is it goes to 4.9 times 10 to the fifth. The mass is five kilograms on exploration. We're calculating right now. Then, by sending this term to the other side, you get 4.9 times. Stand to this divided by five as our acceleration. Then we can plug in these results in the equation. By doing that, we got Deputy is because the four times stand toe to toe divided by four point tonight. Timestamp Mrs United by five. And this is the coast too. Five times four thanks then occurred, divided by 4 29 constant. And then we got the following five times four is 20 needed divided by 4.9. And here we have 10 to the third minus size because we have 10 to the third in the numerator and tend to the seat on the denominator. So his results in 20 divided by 4.9. I understand this truth, which is true. Do vital my apartment nine times 10 miners one. Finally, this gives the time of approximately the 0.4 times Stan to the miners one which is close to 0.4 seconds

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