the seat on a rider is equal in magnitude to the rider's weight. From what height above the bottom of the loop must the roller coaster descend to satisfy this requirement?

You smuggle your bathroom scale on an amusment park roller coaster. At the top of a 16 m radius loop, you look down and note that you weigh 3 times your normal weight. At the bottom of the loop, you are gently brought to temporary rest by a spring that compresses 30 m before launching you around the loop backwards. Ignore friction and assume the mass of the car is 200 kg and the mass of just the rider is 50 kg. The track has negligible friction. What spring constant is needed for such ride?

A roller coaster has a circular loop with a diameter (height) of 39 meters. When the coaster is upside down at the top of the loop, what is the minimum speed it must be traveling so that the passengers do not fall out?

A roller-coaster vehicle has a mass of 565 kg when fully loaded with passengers (see figure). 10 m 15 m (a) If the vehicle has a speed of 24.0 m/s at point O, what is the force (in N) of the track on the vehicle at this point? (b) What is the maximum speed (in m/s) the vehicle can have at point ® in order for gravity to hold it on the track? m/s

A roller-coaster car has a mass of 1120 kg when fully loaded with passengers. As the car passes over the top of a circular hill of radius 21 m, its speed is not changing. (a) At the top of the hill, what is the normal force (using the negative sign for the downward direction) FN on the car from the track if the car's speed is v = 7.6 m/s? (b) What is EN if v = 19 m/s? Use g=9.81 m/s².

The car is fully loaded with passengers and has a total mass of 575 kg. At point A, the car is at the lowest point in a circular arc of radius  r1 = 12.4 m.  At point B, the car is at the highest point of a circular arc of radius  r2 = 17.3 m.   (a) If the car has a speed of 25.0 m/s at point A, what is the magnitude of the force (in N) of the track on the car at this point?   (b) What is the maximum speed (in m/s) the car can have at point B in order for the car to maintain contact with the track at all times (that is, so that it does not "jump" off the track)?

A teacher pulls a crate of mass M up the inclined surface the distance d. The surface rises 0 degrees above the horizontal, as shown in the figure. How much does the gravity do on the crate? M=11.9 kg, 0=26.9 degreees, d=5.88 m, g=9.80 m/s^2

A 61.9-kg circus performer is fired from a cannon that is elevated at an angle of 57.3 ° above the horizontal. The cannon uses strong elastic bands to propel the performer, much in the same way that a slingshot fires a stone. Setting up for this stunt involves stretching the bands by 2.35 m from their unstrained length. At the point where the performer flies free of the bands, his height above the floor is the same as that of the net into which he is shot. He takes 3.02 s to travel the horizontal distance of 28.7 m between this point and the net. Ignore friction and air resistance and determine the effective spring constant of the firing mechanism. Number i Units

In the very Dutch sport of Fierljeppen, athletes run up to a long pole and then use it to vault across a canal as shown in (Figure 1). At the very top of his arc, a 70 kg vaulter is moving at 2.9 m/s and is 5.5 m from the bottom end of the pole. What is the magnitude of the vertical force that the pole exerts on the vaulter? Express your answer with the appropriate units.

A metallic box begins at rest at point 1 at a height of 5R, where R is the radius of the circular part of the track. The box slides down the frictionless track and around the loop. If the box has a gravitational weight of 80 N, what is the magnitude of the normal force acting on the box at point 2?