In one amusement park ride, riders enter a large vertical barrel and stand against the wall on its horizontal floor. The barrel is spun up and the floor drops away. Riders feel as if they are pinned to the wall by a force something like the gravitational force. This is a fictitious force sensed and used by the riders to explain events in the rotating frame of reference of the barrel. Explain in an inertial frame of reference (Earth is nearly one) what pins the riders to the wall, and identify all of the real forces acting on them.
The unreal force acting opposite to gravity, which pins the riders to the wall. A real force acts when the floor is dropped and a downward force due to gravity is observed.
When a body’s motion describes non inertial frame of reference a force appear to be working on it is called Fictitious Force.
The fictitious force pins the riders to the gravitational force. This is a force which acts in the opposite direction of gravity. Now the floor drops away, so a force acts in the downward direction, and an inertial force acts in the upwards direction due to Newton’s third Law.
In the vertical direction, the riders are subject to a downward force of mg due to gravity, and upward force of due to friction. N is the cumulative normal reaction between the riders and the wall, while m is the cumulative mass of the riders.
So, we can conclude. it is the unreal force acting opposite to gravity, which pins the riders to the wall. A real force acts when the floor is dropped and a downward force due to gravity is observed.
On February 14, 2000 the NEAR spacecraft was successfully inserted into orbit around Eros, becoming the first artificial satellite of an asteroid. Construct a problem in which you determine the orbital speed for a satellite near Eros. You will need to find the mass of the asteroid and consider such things as a safe distance for the orbit. Although Eros is not spherical, calculate the acceleration due to gravity on its surface at a point an average distance from its center of mass. Your instructor may also wish to have you calculate the escape velocity from this point on Eros.
Astronomical observations of our Milky Way galaxy indicate that it has a mass of about solar masses. A star orbiting on the galaxy’s periphery is about light-years from its center.
(a) What should the orbital period of that star be?
(b) If its period is instead, what is the mass of the galaxy? Such calculations are used to imply the existence of “dark matter” in the universe and have indicated, for example, the existence of very massive black holes at the centers of some galaxies.
94% of StudySmarter users get better grades.Sign up for free