The effort in the Lacarnage equation is what determines whether there is an accelerating motion or not. true Error

Which has the greater centripetal acceleration, a car with a speed of 15.0 m/s along a circular track of radius 100.0 m or a car with a speed of 12.0 m/s along a circular track of radius 75.0 m?

Check Your Understanding If the two golf shots in Example 4.9 were bunched at the same speed, which shot would have the greatest range? When we speak of the range of a projectile on level ground, we assume R is very small compared with the circumference of Earth. If, however, the range is large, Earth curves away below the projectile and the acceleration resulting from gravity changes direction along the path. The range is larger than predicted by the range equation given earlier because the projectile has father to fail than it would on level ground, as shown in Figure 4.17, which is based on a drawing in Newton’s Principia. If the initial speed is great enough, the projectile goes into orbit. Earth’s surface drops every 8000 m. In 1 s an object falls 5 m without a resistance. Thus, if an object is given a horizontal velocity of 8000 m/s (or 18,000 mi/hr) near Earth’s surface, it will go into orbit around the planet because, the surface continuously falls away from object Thu is roughly the speed of the Space Shuttle in a low Earth orbit when it was operational, or any satellite in a low Earth orbit. These and other aspects of orbital motion, such as Earth’s rotation, are covered in greater depth in Gravitation. Figure 4.17 Projectile to satellite. In each case shown here, a projectile is launched from a very high tower to avoid air resistance. With increasing initial speed, the range increases and becomes longer than t would be on level ground because Earth curves away beneath its path. With a speed of 8000 m/s, orbit is achieved.

Check Your Understanding A flywheel has a radius of 20.0 cm What is the speed of a point on the edge of the flywheel if it experiences a centripetal acceleration of 900.0cm/s2 ?

Check Your Understanding The snowboarder is now moving down a hill with incline 10.0 . What is the skier’s acceleration.

Check Your Understanding An airplane lands on a runway traveling east. Describe its acceleration.

Check Your Understanding If Trooper runs 20 m west before taking a rest, what is his displacement vector?

A plumb bob bangs from the roof of a railroad car. The car rounds a circular track of radius 300.0 m at a speed of 90.0 km/b. At what angle relative to the vertical does the plumb bob hang?

If an object has a constant x -component of the velocity and suddenly experiences an acceleration in the y direction, does the x -component of its velocity change?

The CERN particle accelerator is circular with a circumference of 7.0 km. (a) What is the acceleration of the protons (m=1.671027kg)that move around the accelerator at 5of the speed of light? (The speed of light is v=3.00108m/s .) (b) What is the force on the protons?