A jet pilot takes his aircraft in a vertical loop, as shown in the figure a.) If the jet is moving at a speed of 940 km/h at the lowest point of the loop, determine the minimum radius of the circle so that the centripetal acceleration at the lowest point does not exceed 6.1 g's. b.) Calculate the 70-kg pilot's effective weight (the force with which the seat pushes up on him) at the bottom of the circle, and at the top of the circle (assume the same speed).

Q: A car of mass m follows a truck of mass 2m around a circular turn. Both vehicles move at speed v.…

A: mass of car = m mass of truck = 2 m speed of both car and truck = v A)Truck's centripetal…

Q: Friction between the tires of a car and the ground, when the car takes a curve on a horizontal…

A: Given: The mass of the car: m = 900 kg. The radius of the curve: r = 500 m. The speed of the car: v…

Q: A car of mass m follows a truck of mass 2m around a circular turn. Both vehicles move at speed v.…

A: mass of car =  m mass of truck = 2 m  (a) Let the radius is r and the velocity is v.  Centripetal…

Q: A car rounds an unbanked curve of radius 60 m. If the coefficient of static friction between the…

A: Given:  radius,r = 60 m  coefficient of friction = 0.66

Q: (I) A child sitting 1.20 m from the center of a merry-goround moves with a speed of 1.10 m/s…

A: (a) For rotational motion, the centripetal acceleration be given as,

Q: A motorcycle with mass 5 kg moves at a constant speed of 16 m/s in a vertical circle inside a hollow…

A:

Q: Part of riding a bicycle involves leaning at the correct angle when making a turn, as seen below. To…

A: Given: Riding a bicycle involves leaning at the correct angle when making a turn, as seen below,

Q: You are rounding a curve on the road. The speed limit is 50mi/hr and the radius of curvature of the…

A:

Q: A pilot of mass m= 70 kg in a jet aircraft executes a loop-the-loop, as shown in Figure. In this…

A: Mass of the pilot m=70 kg Speed of the pilot v =250 m/s Radius of the loop r =3 km = 3×10-3 m The…

Q: Modern roller coasters have vertical loops like the one shown here. The radius of curvature is…

A: a) The acceleration of roller coaster is given as,

Q: A stunt airplane flies in a vertical circular loop of radius r at a constant speed. When the…

A: If an object moves in circular motion it requires centripetal force which is provided by already…

Q: A number of amusement parks have rides that make vertical loops like the one shown. For safety, the…

A:

Q: ì A pilot of mass m= 70 kg in a jet aircraft executes a loop-the-loop, as shown in Figure. In this…

A: Let v denote the speed of the aircraft, R denote the radius of the loop and let a denote the…

Q: A nylon string is rated to withstand a force/tension of 100 N. A boy decided to play with this…

A:

Q: A fighter jet makes vertical loop at a speed of 180 m/s with its wings banked at an angle of 200.…

A: Given : v = 180 m/s g = 10 m/s2 Angle of banking, θ = 200

Q: A pilot of mass m= 70 kg in a jet aircraft executes a loop-the-loop, as shown in Figure. In this…

A:

Q: A car moving at a speed of 12.0 m/s encounters a bump in the road that has a circular cross-section…

A:

Q: A woman places her briefcase on the backseat of her car. As she drives to work, the car negotiates…

A: It is given that, r=49.7 mv=14.3 m/s

Q: A car of mass m follows a truck of mass 3m around a circular turn. Both vehicles move at speed v.…

A: a) Formula for centripetal force is, F=mv2rFtuck=3mv2rFcar=mv2rtherefore,FtuckFcar=3

Q: A woman places her briefcase on the backseat of her car.  As she drives to work, the car negotiates…

A:

Q: What is the direction of the centripetal force in a circular motion? O parallel to the tangential…

A:

Q: What is the maximum speed (in m/s) that a car with a mass of 450 kg can have at point B in order for…

A: Here, the weight of the car provides the centripetal force.

Q: A small car with mass 1250 [??] travels at constant speed on the inside of a track that is a…

A: Given: The mass of the car is m=1250 kg. The radius is r=7 m. The normal force at point B is…

Q: Suppose the radius of the room is 3.91 m and the speed of the wall is 13.9 m/s when the floor falls…

A: Given ,  Radius of room , r = 3.91 m speed of wall  , v = 13.9 m/s We know that centripetal force =…

Q: n an attempt to make a curve in a road safer, the radius of curvature of the section of horizontal…

A: Let initial radius be r Hence, the final radius is 2r We also have initial speed limit v1 as 40 km/h…

Q: An airplane is flying in a horizontal circle at a speed of 105m/s. The 80kg pilot does not want his…

A: Given, speed of an airplane, v = 105 ms mass of the pilot, m = 80 kg centripetal acceleration, ac =…

Q: An aerobatic pilotguides his plane into a vertical circle with a radius of 500 m. At the topof the…

A: Given- Radius R= 500 m Mass of pilot at that point m=72 kg Speed of the airplane v= 90.0m/s

Q: A 52 kg stunt pilot who has been diving her airplane vertically pulls out of the dive by changing…

A: Given data Mass of the pilot, mp=52 kg Centripetal acceleration, a=4.1g Velocity of the pilot,…

Q: A coin placed 30.0cm from the center of a rotating, horizontal turntable slips when its speed is…

A: Given  Radius r=0.3m Speed v=0.5m/s

Q: At an amusement park loop-the-loop ride, the loop has a radius of 10 m. In one of the cars, you are…

A: Given data The radius is r=10 m The initial apparent weight is w=800 N The velocity at the top is,…

Q: A 50.0-kg child stands at the rim of a merry-go-round of radius 2.85 m, rotating with an angular…

A:

Q: A woman places her briefcase on the backseat ofher car. As she drives to work, the car negotiates an…

A: Given,The radius of the curve, r = 62mSpeed of the car, v = 15m/s

Q: A car of mass m follows a truck of mass 2m around a circular turn. Both vehicles move at speed v.…

A:

Q: A 2-kilogram block is released from rest at the top of a curved incline in the shape of a quarter of…

A: Mass of block = 2 kg  Distance travelled before coming to rest = 8 m  Force of friction acting on…

Q: An engineer designs a freeway exit ramp so that cars can round the curve without relying on…

A:

Q: A 900.0kg car is taking a turn of radius 99m at constant speed. The coefficient of static friction…

A: Given: mass of car m =900 kgradius of curve r = 99mcoefficient of static friction μ=0.63

Q: The 1.0 kg iron ball shown is being swung in a vertical circle at the end of a 1.0-m string. (a) How…

A: Mass (m) = 1 kg Length of string (L) = 1 m

Q: A jet pilot flies his aircraft in a vertical loop at a speed of 1200 km/h.   Part A What is the…

A: (a)   Write the expression for the centripetal acceleration, and solve for the radius of the circle.

Q: The cars on an amusement park ride travel at a constant speed velocity at 4.0 m/s on a circular…

A: The magnitude of each car centripetal acceleration is ac=v2r=4 m/s24 m=4 m/s2

Q: A car of mass m follows a truck of mass 2m around a circularturn. Both vehicles move at speed v. (a)…

A: a)Formula for centripetal force is

Q: A child is twirling a 0.0103-kg ball on a string in a horizontal circle whose radius is 0.0907 m.…

A: given that Mass of ball(m) =0.0103 kg Radius of horizontal circle(r) =0.0907 m Time period of…

Q: A 1.5 kg mass is spun on a string in a horizontal circular path at a constant speed. a)Draw a…

A: Given that:m=1.5 kgR=0.5 mT=0.25s

Q: obert is spinning a 4.20 kg bucket with half-filled water in a vertical circle of radius 1.28 m as…

A: Given: The mass of the bucket is 4.2 kg. The radius of the circular path is 1.28 m. The tension in…

Q: A highway curve has a radius of 475 m and a banking angle of 20°. If a 1,200-kg car can safely…

A: According to Bartleby guidelines, I can answer the first three subparts only. If you need help with…

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.