You are riding a roller-coaster going around a vertical loop, on the inside of the loop. If the loop has a radius of 56.0 m, how fast must the cart be moving in order for you to feel 3 times as heavy at the bottom of the loop? g

46.9 m/s

Explanation:

When the cart is at the bottom of the loop, there are two forces acting on the person:

- The force of gravity, acting downward, of magnitude (where m is the mass and g is the acceleration due to gravity)

- The normal reaction exerted on the person, acting upward, of magnitude N

Their resultant must be equal to the centripetal force, so the equation of the forces at the bottom of the loop is:

where v is the speed of the cart at the bottom of the loop and r the radius of the loop.

N represents the apparent weight of the person in the cart: here we are told that the person must feel 3 times as heavy, this means that

Substituting into the equation,

Which means

Here the radius of the loop is

r = 56.0 m

So, the speed needed is:

oil flow is a highly convective flow compared to water flow at normal temperature and pressure.

unlike the threaded fasteners which are used to clamp the machine members, power screws are used to transmit power. common applications of power screws are: screw jacks: to lift weight. lead screw of lathe: for axial movement of tool and its precise positioning.