(a) Apply Newton's first law to each of the following situations. In which situations can you conclude that the object is undergoing a net interaction with one or more other objects? (1) A book slides across the table and comes to a stop. (2) A proton in a particle accelerator moves faster and faster. (3) A car travels at constant speed around a circular race track. (4) A spacecraft travels at a constant speed toward a distant star. (5) A hydrogen atom remains at rest in outer space. (b) A spaceship far from all other objects uses its rockets to attain a speed of. The crew then shuts off the power. According to Newton's first law, which of the following statements about the motion of the spaceship after the power is shut off are correct? (Choose all statements that are correct.) (1) The spaceship will move in a straight line. (2) The spaceship will travel on a curving path. (3) The spaceship will enter a circular orbit. (4) The speed of the spaceship will not change. (5) The spaceship will gradually slow down. (6) The spaceship will stop suddenly.

Short Answer

Expert verified

(a) On Applying Newton’s first law, you can conclude that in situations (1), (2), and (3), there is a net interaction.

(b) When the power is shut off, the statements, (1) and (4) will correctly define the motion of the spaceship.

Step by step solution

01

Understanding Newton’s first law

Newton’s first law states that everybody persists in its state of rest or of traveling with a constant (invariant) speed in a constant direction, except to the extent that it is forced to vary that state by all forces acting on it.

02

(a) Determining the situations of the object is undergoing a net interaction with one or more other objects

(1) A book sliding across the table will continue to slide until and unless an external type of force is applied to it, which is friction, as friction acts on the book by the table; therefore, the book comes to a stop.

(2) A proton is a particle accelerator that will not accelerate by itself. It will need an external force to accelerate it.

(3) A car will continue to drive at a constant speed without an external, but here, the car is moving in a circular race track, so some force must be acting on the car to draw it towards the center of the circle.

(4) The spacecraft is moving at a constant speed, i.e., it is neither speeding up nor slowing down; therefore, there is no external force.

(5) The Hydrogen atom is at rest, and since nothing is moving, there is no external force.

Therefore, you can conclude that situations (1), (2), (3) are undergoing interaction with one or more objects.

03

(b) Determination of the motion of spaceship

The spaceship is moving with speed of , and it will continue to do the same so until and unless any other force is applied to it, and here, in this case, no external force is applied. So, you can say that the spaceship will continue to move in a straight line without changing its speed.

Also, there is no description of a spaceship's circular motion or slowing down or stoppage. So, options (2), (3), and (5) are not correct.

Therefore, statements (1) and (4) are the correct statements.

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with Vaia!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

(a) A unit vector lies in the xy plane, at an angle of 160°from the +x axis with a positive y component. What is the unit vector? (It helps to draw a diagram). (b) A string runs up and to the left in the xy plane, making an angle of 40°to the vertical. Determine the unit that points along the string.

Which of the following observers might observe something that appears to violate Newton's first law of motion? Explain why. (1) A person standing still on a street corner (2) A person riding on a roller coaster (3) A passenger on a starship traveling at 0.75c toward the nearby star Alpha Centauri (4) An airplane pilot doing aerobatic loops (5) A hockey player coasting across the ice.

A proton travelling with a velocity of 3×105,2×105,-4×105m/spasses the origin at a time 9.0 s after a proton detector is turned on. Assuming that the velocity of the proton does not change, what will be its position at time 9.7 s?

Question: A car moves along a straight road. It moves at a speed of 50 km/h for 4 minutes, then during 4 minutes it gradually speeds up to 100 km/h, continues at this speed for 4 minutes, then during 4 minutes gradually slows to a stop. Make a sketch like the figures in Section 1.2, marking dots for the position along the road every minute.

A basketball has a mass of 570 g. Moving to the right and heading downward at an angle of 30 to the vertical, it hits the floor with the speed of 5 m/s and bounces up with nearly the same speed, again moving to the right an angle of 30 degree to the vertical. What was the momentum changep?

See all solutions

Recommended explanations on Physics Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.

Sign-up for free