A roller coaster at an amusement park has a dip that bottoms out in a vertical circle of radius r. A passenger feels the seat of the car pushing upward on her with a force equal to twice her weight as she goes through the dip. If r = 20.0 m, how fast is the roller coaster traveling at the bottom of the dip?

Q: A 0.250 kg ball swings in a vertical circle on the end of a string that is 1.20 m long. The tension…

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Q: A 1600 kg car drives around a flat 210-m diameter circular track at 25m/s. What is the magnitude of…

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Q: Lola can do a loop-the-loop on a skateboard of radius  4.9 m. What is the minimum speed needed for…

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Q: A 4.4 cm diameter, 24 g plastic ball is attached to a 1.2 m long string and swung in a vertical…

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Q: A car is going around a loop-the-loop track. If the car is given an initial speed of 4.0 m/s, what…

A: Draw the free-body diagram of the car at the top of the loop.

Q: The passengers in a roller coaster car feel 50%% heavier than their true weight as the car goes…

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: As a roller coaster crosses the top of a 50 m diameter loop the loop, it’s apparent weight is the…

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Q: all black with mass 0.0700 kg slides in a vertical cir r track. There is no friction bětween the…

A: Mass of block = 0.0700 kg  Circular path radius R = 0.800 m  Normal force at bottom Nb = 4.00 N

Q: A ball is on the end of a string. The ball is being swung in a vertical circle at a constant speed.…

A: Given Data: The length of the string s: l=1.16 m The mass of the ball is: m=1.60 kg The maximum…

Q: A person of mass 60.0 kg is riding on a Ferris wheel as illustrated. Draw the free body diagram for…

A: Draw the free body diagram and then apply the Newton's second law. Also use the centripetal…

Q: A 0.60-kg rock is swung in a circular path and in a vertical plane on a 0.50-m-length string. At the…

A: Draw the free-body diagram of the rock at the top point.

Q: A

A: Given: The mass of the ball is 1.3 kg. The length of the string is 0.43 m. The speed of the ball is…

Q: The mass of a roller coaster car, including the riders, is 512 kg. The path of a portion of the ride…

A: SOlution: Given that m = 512 kg VA = 12.8 m/s VB = 22.5 m/s rA =18.8 m rB =10.2 m rC =6.6 m

Q: A roller coaster car is going over the top of a 16-m-radius circular rise. At the top of the hill,…

A: Radius of circle = 16 mAt the topWeight of passenger = 60 % of their true weightWe have to…

Q: A rock is tied to the end of a string and swung in a vertical circle. The tension in the string when…

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Q: C B A Mr Allgood rode his bike inside a loop-the-loop at a constant speed greater than the minimum…

A: Hey dear using formula for centripetal force we see that the radius is same for all the three points…

Q: A Ms. Lamb rode her bike inside a loop-the-loop at a constant speed greater than the minimum to…

A: Hey dear Fg will be same for all the three points see how

Q: You are riding a dirt bike around a vertical loop that is in a spherical cage.  In order for the…

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Q: A 0.5-kg ball is attached to a string and whirled around in a circle overhead. The string breaks if…

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Q: A. How fast is she traveling at that instant in time?

A: This problem can be solved using rotational mechanics. Let the weight of the student be M. Let us…

Q: A 300 g block on a 52.0 cm long string swings in a circle on a horizontal, frictionless table at…

A: (a) The speed of the block is, v=55.0 revmin2πr1rev60 s1 min=55.0 revmin2π0.52 m1rev60 s1 min=2.99…

Q: A ball is on the end of a string. The ball is being swung in a vertical circle at a constant speed.…

A: A ball is on the end of a string. The ball is being swung in a vertical circle at a constant…

Q: A roller coaster goes inverted around a loop. The radius of curvature of the track is 8.0m. If a…

A:

Q: A roller coaster car goes over a hill, which can be modeled as a portion of a circular arc, at a…

A: The free body diagram of roller costar car when it is on top of the hill is as follow: For…

Q: A stone with a mass of 0.567 kg is tied to the end of a cord that is 1.02 m long and swung in a…

A: Mass , m = 0.567 kg radius , r = 1.02 m Time , T = 0.736 s  To find = a) Speed of stone…

Q: A small airplane of mass 1200 kg is doing a horizontal turn. The turn requires the pilot to bank the…

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Q: In the figure, a car is driven at constant speed over a circular hill and then into a circular…

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Q: S6. James Bond is trying shake off a villain hanging on to his car. The bad guy has mass 80kg and…

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Q: A 560 g yo-yo is swung in a vertical circle, on a string that is 1.3 m long. If the string can…

A: Write the given values with the suitable variables. m=560 g=0.560 kgr=1.3 mTmax=25 N Here, m, r, and…

Q: A 3.0 kg rocket propelled toy car has a speed of 6.0 m/s as it rides inverted at the top of a…

A: Given data: Mass (m) = 3 kg Speed (v) = 6 m/s Radius (r) = 1.5 m Need to determine the force in…

Q: Mr. B does a demonstration with a bucket of water tied to a 1.4-meter long string. The bucket and…

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Q: You tie one end of 0.3-m-long spring to a 0.5 kg mass. Holding the other end of the spring in your…

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Q: What is the ball speed?

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Q: 14. A roller coaster at an amusement park has a dip that bottoms out in a vertical circle of radius…

A: We have the given figure as-

Q: A1590 kg car travels around a circular track at 26.5 m/s. If the track has a diameter of 180 m,…

A: mass of car m=1590 kg Speed of car v = 26.5m/s Diameter of track  d = 180 m

Q: The passengers in a roller coaster car feel 50% heavier than their true weight as the car goes…

A: Given dataThe radius of curvature, r = 30 mIt is mentioned that the passenger will feel 50% heavier…

Q: a. You're driving over the top of a hill with a radius of 15.075 m. How fast would you need to drive…

A: In general case, the centrifugal force and the normal reaction will balance the weight. So we have…

Q: A 0.6 kg ball moves in a vertical circle on a 1m long string. If the speed at the top is 3.80 m/s,…

A: The weight of the ball is calculated as, W=mgW=0.6 kg9.8 m/s2W=5.88 N (a) The Tension in the string…

Centripetal Force

A particle, body, object or certain mass while travelling in a rotational path or semicircular path, experiences an inertia force. If that inertia force pulls the towards the inward of the imaginary circle in the rotation, it is termed as centripetal force.