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A rocket blasts off from rest and attains a speed of 45 $\mathrm{m} / \mathrm{s}$ in 15 $\mathrm{s}$ , An astronatt has a mass of 57 $\mathrm{kg}$ . What is the astronaut's apparent weight during takeoff?

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$7.3 \times 10^{2} N$

Physics 101 Mechanics

Chapter 4

Forces and Newton’s Laws of Motion

Newton's Laws of Motion

Applying Newton's Laws

Rutgers, The State University of New Jersey

University of Washington

Simon Fraser University

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.

02:33

A rocket blasts off from r…

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rocket blasts off from res…

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A $540-\mathrm{kg}$ spacec…

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(II) A rocket of total mas…

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Suppose a rocket launches …

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(III) A rocket of total ma…

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A rocket at rest in space,…

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A rocket consists of a pay…

01:34

Astronauts are playing cat…

during the take off. There are two forces acting the after note. One force is the gravitational force. The weak force on the order force is the normal force exerted by the seat on that astronaut do the normal force. Then Newton's second law tells us the following the net force. Let me say that everything that is pointing up positive and everything that is pointing down is negative, then applying you don't second look that say's that the net force acting on the astronaut is echo streets, mess times its acceleration. But the net force is composed by two forces. The normal force and the weight force and the musicals to the mass times acceleration off the astronaut. What we call the apparent weight is the normal force, so they're after not apparent. Wait, which is It goes to the normal force is given by the mask off the astronaut times acceleration off the astronaut plus the weight force. So how can he calculates the weight force? Well, just remember that the weight forest is given by the mask off. The astronaut finds an explanation of gravity, and the acceleration of gravity is approximately 9.8 meters per second squared, then the weight force is. It goes to 57 times 9.8, so their parent weight is equals to mass off the astronaut times its acceleration plus 57 times 9.8. Now, why is the acceleration of the astronaut? It is the course to the acceleration off the rocket and acceleration off the rocket can be calculated using these information about its velocity and the time it took to think that velocity acceleration is it goes to the variation in velocity divided by the time it took. So these is equals to 45 divided by 15 and this is three meters per second squared. Therefore, the apparent weight is equals to 57 times three plus 57 times 9.8 and these give us on apparent weight off approximately 730 mutants.

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