One portion of the track of a toy roller coaster is bent into a full vertical...
One portion of the track of a toy roller coaster is bent into a full vertical circle of radius R. A small cart rolling on the track enters the bottom of the circle with a speed √gR. Show that this cart will fall off the track before it reaches the top of the circle, and find the (angular) position at which the cart loses contact with the track.
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One portion of the track of a toy roller coaster is bent into a
full vertical...
A roller-coaster track has six semicircular "dips" with different radii of curvature. The same roller-coaster cart...
A roller-coaster track has six semicircular "dips" with different
radii of curvature. The same roller-coaster cart rides through each
dip at a different speed.For the different values given for the radius of curvatureR and speed v,
rank the magnitude of the force of the roller-coaster track on the
cart at the bottom of each dip.A) R=60m v=16 m/s B) R=15m v= 8m/s C) R=30m v= 4m/s D) R=45m v=
4m/s E) 30m v= 16 m/s F) R= 15m v=12 m/s
B c d A roller coaster cart and passengers has a capacity of 2,000Ag. The roller...
B c d
A roller coaster cart and passengers has a capacity of 2,000Ag. The roller coaster needs to be designed such that the cart and passengers can make it around a loop that has a radius of 20m. At the top f the loop draw the Flee Body Diagram for the cart Write Newton's 2^nd Law equation(s) at the top of the loop. What condition is required for the cart to remain in contact with the track at the...
Problem 1 You are designing a roller coaster, shown in the figure below. An empty car...
Problem 1 You are designing a roller coaster, shown in the figure below. An empty car has a mass of 120 kg. The radius of the vertical loop in the track is 12.0 m and the bottom of the loop is 5.0 m above the ground. Assuming the roller coaster is frictionless, how high must the car initially climb above the ground (point A) such that the speed of the car is 25.0 m/s at the top of the loop...
A student with mass 58.0 kg rides on a roller coaster with a vertical loop. At...
A student with mass 58.0 kg rides on a roller coaster with a vertical loop. At the top of the loop the track has a radius of 19.7 m and the roller coaster moves at speed of 21.9 m/s at the top. Determine the normal force from the seat on the student at the top of the loop. Give your answer in newtons (N) and with 3 significant figures.
A 540 kg roller coaster has a speed of 21.0 m/s as it reaches the lowest...
A 540 kg roller coaster has a speed of 21.0 m/s as it reaches the lowest point on the track, which is at the bottom of a vertical curve with a radius of 13.0 m. What is the force of the track on the vehicle at this point?
ρ 30 m The roller-coaster track shown is contained in a vertical plane. The portion of...
ρ 30 m The roller-coaster track shown is contained in a vertical plane. The portion of track between A and B is straight and horizontal, while the portions to the left of A and to the right of B have radii of curvature as indicated. A car is traveling at a speed of 72 km/h when the brakes are suddenly applied, causing the wheels of the car to slide on the track (u 0.20 Determine the initial deceler ation of...
A rollercoaster cart with a mass of 11 kg is travelling around a vertical loop (circle)...
A rollercoaster cart with a mass of 11 kg is travelling around a
vertical loop (circle) with a radius of 8 meters. At the top, it's
traveling at the minimum speed needed so that it remains in contact
with the track. If at some short time later it is at the side of
the loop (halfway between the top and bottom), what is the normal
force on the cart, in Newtons, if it loses 147 Joules of work to
non-conservative...
A roller coaster is passing through the very bottom of a semicircular section of track. (a)...
A roller coaster is passing through the very bottom of a semicircular section of track. (a) The FBD at right shows the forces acting on the cart at the bottom of the track, but the vectors are not necessarily drawn to scale. Which of the two forces must be larger? Explain in 1 - 2 sentences without equations or math, using what you know about circular motion and N2L. (b) The magnitude of the normal force acting on the coaster...
A roller coaster has mass 3000.0 kg and needs to make it safely through a vertical...
A roller coaster has mass 3000.0 kg and needs to make it safely through a vertical circular loop of radius 50.0 m. What is the minimum angular momentum, in kg*m^2/s, of the coaster at the bottom of the loop to make it safely through? Neglect friction on the track. Take the coaster to be a point particle.
12) (5 points) A roller coaster car moves around a vertical circle. At the bottom of...
12) (5 points) A roller coaster car moves around a vertical circle. At the bottom of the circle, the car experiences four times as much acceleration as at the top of the circle. Compared to its speed at the top of the circle, the speed of the car at the bottom of the circle is A) 4 times as great. B) 2.8 times as great. C) 1.4 times as great. D) 16 times as great. E) twice as great.
A roller-coaster track has six semicircular "dips" with different
radii of curvature. The same roller-coaster cart rides through each
dip at a different speed.For the different values given for the radius of curvatureR and speed v,
rank the magnitude of the force of the roller-coaster track on the
cart at the bottom of each dip.A) R=60m v=16 m/s B) R=15m v= 8m/s C) R=30m v= 4m/s D) R=45m v=
4m/s E) 30m v= 16 m/s F) R= 15m v=12 m/s
B c d
A roller coaster cart and passengers has a capacity of 2,000Ag. The roller coaster needs to be designed such that the cart and passengers can make it around a loop that has a radius of 20m. At the top f the loop draw the Flee Body Diagram for the cart Write Newton's 2^nd Law equation(s) at the top of the loop. What condition is required for the cart to remain in contact with the track at the...
Problem 1 You are designing a roller coaster, shown in the figure below. An empty car has a mass of 120 kg. The radius of the vertical loop in the track is 12.0 m and the bottom of the loop is 5.0 m above the ground. Assuming the roller coaster is frictionless, how high must the car initially climb above the ground (point A) such that the speed of the car is 25.0 m/s at the top of the loop...
ρ 30 m The roller-coaster track shown is contained in a vertical plane. The portion of track between A and B is straight and horizontal, while the portions to the left of A and to the right of B have radii of curvature as indicated. A car is traveling at a speed of 72 km/h when the brakes are suddenly applied, causing the wheels of the car to slide on the track (u 0.20 Determine the initial deceler ation of...
A rollercoaster cart with a mass of 11 kg is travelling around a
vertical loop (circle) with a radius of 8 meters. At the top, it's
traveling at the minimum speed needed so that it remains in contact
with the track. If at some short time later it is at the side of
the loop (halfway between the top and bottom), what is the normal
force on the cart, in Newtons, if it loses 147 Joules of work to
non-conservative...
A roller coaster is passing through the very bottom of a semicircular section of track. (a) The FBD at right shows the forces acting on the cart at the bottom of the track, but the vectors are not necessarily drawn to scale. Which of the two forces must be larger? Explain in 1 - 2 sentences without equations or math, using what you know about circular motion and N2L. (b) The magnitude of the normal force acting on the coaster...
12) (5 points) A roller coaster car moves around a vertical circle. At the bottom of the circle, the car experiences four times as much acceleration as at the top of the circle. Compared to its speed at the top of the circle, the speed of the car at the bottom of the circle is A) 4 times as great. B) 2.8 times as great. C) 1.4 times as great. D) 16 times as great. E) twice as great.
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