The car of roller coaster in the following figure has a mass of 650 kg, including its passengers. If the car starts from the point A with a speed v4= 5 m/s, determine the minimum height h of the hill crest so that the car travels around the inside loop without leaving the track. Neglect friction, the mass of the wheels, and the size of the car. Take the radius of curvature of B loop pB as 8 m and the acceleration due to gravity g as 9.81 m/s. В h 16 m
Q: In the figure below, a small block is sent through point A with a speed of 9.5 m/s. Its path is…
A:
Q: Two blocks m1=5.6kg and m2= 3.7kg are sliding on a circular track with radius R=8.1m as shown in the…
A:
Q: A roller-coaster at a theme park is designed so that a 70 kg rider in a car at the top of a circu…
A: Given: The speed of the car at the top of the loop, v=10 m/s. The radius of the loop r=20 m. Mass…
Q: A roller-coaster car has a mass of 505 kg when fully loaded with passengers. The path of the coaster…
A:
Q: A roller coaster car goes around a loop-the-loop, so it is upside down at the top at point A. The…
A: At the highest point A the normal force is balanced by the centripetal acceleration. Therefore,…
Q: .. A small rock with mass m is attached to a light string of length L and whirled in a vertical…
A: Mass of rock = mLength of string = L
Q: Mr. M is now racing on a track that looks like the description in the picture. He laps around this…
A:
Q: A 60 g ball is tied to the end of a 30-cm-long string and swung in a vertical circle. The center of…
A:
Q: The length of the arc is 250 meters, and the time to turn is 37 seconds. Calculate the x-component…
A: PART A) Length of arc is L = 250 m Time to turn is t = 37 s Angle from A to B is 69 degrees…
Q: As a roller coaster crosses the top of a 50 m diameter loop the loop, it’s apparent weight is the…
A:
Q: A smooth ball of mass m slides down a frictionless incline (see figure). The ball is released a…
A:
Q: A possible new Olympic snowboarding event has boarders slide down a concave hill from point A and…
A: Free body diagram at P:
Q: A 2.00Kg puck on a frictionless horizontal surface on the Earth is constrained to a circular orbit…
A:
Q: A pilot of mass m in a jet aircraft executes a loop-the-loop, as shown in Figure I.5. In this…
A:
Q: In an amusement park roller coaster ride, a car starts from rest at point A and races through a…
A:
Q: A roller-coaster car has a mass of 504 kg when fully loaded with passengers. The path of the coaster…
A: Given,m = 504 kgr1 = 10.0 mr2 = 15.0 mvA = 19.8 ms
Q: A roller-coaster car has a mass of 502 kg when fully loaded with passengers. The path of the coaster…
A: Concept: Here in this question, we have to determine the force exerted by the track on the car at…
Q: What is the maximum speed of a 1.5 kg ball on a string if it is rotated about a circle of radius 10…
A:
Q: The ball B has a mass of 1.3 kg and is originally rotating in a circle. As shown, the cord AB has a…
A: Given data: The mass of the ball B is m=1.3 kg The distance of A from the plane of motion is d=1.7 m…
Q: A 2.00Kg puck on a frictionless horizontal surface on the Earth is constrained to a circular orbit…
A:
Q: A block slides down a plane inclined at 35 degrees from horizontal. Find the magnitude of the…
A: As per our guidelines, we are supposed to answer only first one question in case of multiple…
Q: A 51.5-g toy car is released from rest on a frictionless track with a vertical loop of radius R. The…
A: (a) The speed of the car at the top of the vertical loop is, Fg=Fcmg=mvloop2Rg=vloop2Rvloop=gR
Q: A skateboarder enters a loop the loop with a radius of 3 meters. His velocity is 17m/s. What is his…
A: Required : Speed of the skateboarder.
Q: Mr. M is a professional race car driver. The race track he is about to drive on has a curve that is…
A:
Q: A ball of mass 1.2 kg and a diameter of 36.1 cm is attached to a string of length 1.6 m. It moves in…
A:
Q: A stone, of mass m, is attached to a strong string and whirled in a vertical circle of radius r. At…
A: Given, Mass of stone = m Radius of circle = r Tension(T) in string at the bottom of path = 2(…
Q: As shown in the figure below, a smal1 ball (can be considered as a particle) with mass m moves in a…
A:
Trending now
This is a popular solution!
Step by step
Solved in 3 steps
- A ball is tied to one end of a string. The other end of the string is held fixed. The ball is set moving around a vertical circle without friction, and with speed √ at the top of the circle, as in Fig given below. At what angle θ should the string be cut so that the ball will then travel through the center of the circle?An aerobatic airplane with n,max = 7 performs a perfect circular looping of radius R = 89 m. Assume that the looping is flown at constant flight velocity. The largest value of the load factor occuring during the looping is n = nmax: For gravity acceleration use g = 10 m/s?. Calculate the flight velocity voo. Provide the answer in metres per second (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.
- A 1.5kg rock is tied to the end of a 1.25m string and is swung in a vertical circle at a constant speed of 4.5 m·s−1. If the string breaks when the tension is 135 N, calculate the maximum speed that the rock can be swung without breaking the string?A small ball with mass 0.50 kg moves in a vertical circle on the inside of a frictionless circular track with radius of curvature 0.80 m, as shown in the sketch. What minimum speed must the ball have at point A, at the top of its circular path, in order not to lose contact with track at that point?Can you please provide a complete solution set to this problem? A rollercoaster car is traveling on a track and approaching a loopped portion of track. What is the minimum speed needed at the bottom of the loop to clear the loop? The diameter is 15 meters.
- A car of massm travels around a flat, circular curve of radius r at the fastest possible speed, v = 13.5 m/s without sliding off. The car and road have a coefficient of friction, between them. If the car wishes to take the turn at 2.4x the velocity, by what factor would the radius need to increase (so the car doesn't slide off) ? Give your answer to 1 decimal place.The lift force on an airplane of mass 897 kg with speed v is given by c v2 (N), where c is some constant depending on the air density and wing geometry. The lift force points perpendicular to the wings of the plane, so that if the plane banks by, say 10 degrees, then the lift force turns 10 degrees from the vertical. Now suppose that the pilot of this plane wishes to complete a flat turn of radius 931 m with speed 104 m/s. How much should they bank the plane, in degrees? (Please answer to the fourth decimal place - i.e 14.3225)A roller-coaster car has a mass of 511 kg when fully loaded with passengers. The path of the coaster from its initial point shown in the figure to point B involves only up-and-down motion (as seen by the riders), with no motion to the left or right. Assume the roller-coaster tracks at points O and B are parts of vertical circles of radius r, = 10.0 m and r, = 15.0 m, respectively. (a) If the vehicle has a speed of 20.3 m/s at point O, what is the force exerted by the track on the car at this point? (b) What is the maximum speed the vehicle can have at ® and still remain on the track? m/s
- the speed of the roller coaster, in meters per second, is 16.71. At the top of the loop if the radius of curvature is 15 m the downward acceleration of the car is 1.9g. The height of the loop is 14.15 m. If the loop actually starts 6.5 m higher than your answer to the previous part (yet still reaches the top of the loop with the same velocity), how much energy, in joules, did it lose to friction? Its mass is 1400 kg.A small block, initially at rest at point A, slides down a curve leading to a half-circle of radius R 6.75 m. The surface is frictionless, with the exception of a horizontal segment BC of length s=22.5 m, which has the coefficient of friction equal u=0.145. A. What is the minimal height (h) for which the block reaches the top of the semicircle, point D? B. For the minimal height calculated in Part (a), what is the speed at point C? Please answer both A and B.A roller coaster has a vertical loop with radius 27.2 m. With what minimum speed should the roller-coaster car be moving at the top of the loop so that the passengers do not lose contact with the seats?