A woman is riding a Jet Ski at a speed of 26 m/s and notices a seawall straight ahead. The farthest she can lean the craft in order to make a turn is 22°. This situation is like that of a car on a curve that is banked at an angle of 22°. If she tries to make the turn without slowing down, what is the minimum distance from the seawall that she can begin making her turn and still avoid a crash?

Q: takeoff a commercial jet has a 70.0 m/s speed. Its tires have a diameter of 0.400 m.(a) At how many…

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Q: 500kg car rounds of paint curve of 20° and a radius of 100 m with the speed of 29 m/s. What is the…

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Q: A car with a mass of 2,000 kg rounds a circular turn with a radius of 20 m.  If the road is flat and…

A: The banking of roads is the process used to helps vehicles to make safe turns by raising the edges…

Q: 9. A car goes around a curve on a road that is banked at an angle of 31.0°. Even though the road is…

A: Draw the free-body diagram of the system.

Q: A car rounds an unbanked curve of radius 50 m at a constant speed. If the coefficient of static…

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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: You kick a soccer ball so rolls along the ground at 15 m/s. It goes up a ramp that is angled at 60°…

A: given that,initial speedv0=15 msangle of rampθ=60length of rampl=1.5 m (a) find the speed of the…

Q: At takeoff a commercial jet has a 70.0 m/s speed. Its tires have a diameter of 0.400 m. (a) At how…

A: Linear speed of commercial jet (v) = 70 msdiameter of tires (d) = 0.400 m radius of tires (r) =…

Q: A 1100 kg car is traveling around a flat 82.3 m radius curve. The coefficient of static friction…

A: Static friction between the car tires and the road is 0.521, which means this friction tries to stop…

Q: A 3,000-kg truck leaves a freeway on a circular exit of radius 50 m at a speed of 15 m/s. What…

A: Given that:- Mass of a truck (m) = 3000 kg  Radius (r) = 50 m  Speed (V) = 15 m/s

Q: A car of mass 850 kg attempts to round an unbanked road with a radius of 100 m. If the coefficient…

A: Mass of the car,  Radius of the road,  Coefficient of static friction,  Acceleration due to gravity,…

Q: A 639 kg car traveling at 32 m/s is going around a curve having a radius of 105.6 m that is banked…

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Q: rock on the end of a 75cm long string spins in a horizontal circle. If the string makes an angle of…

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Q: A curved road has a 60 m radius. The road needs to be banked in order for cars to handle the curve…

A: Given data The radius is R=60 m The velocity of the car is v=14 m/s   The banking angle of the road…

Q: flat unbanked curve on a highway has a radius of 250 m. What is the maximum speed in m / s a car can…

A: Given radius(r)=250 m Coefficient of static friction=0.95 Required maximum speed(vmax)=?

Q: A dental drill operates at incredibly high speeds. It uses compressed air to do this, and it can…

A: First, we need to convert the given values to SI units. The diameter of the dental burr is given as…

Q: A level curve on a country road has a radius of 120 m. What is the maximum speed at which this curve…

A: To go a car in all direction, a bend the car require to have centripetal force  applied and friction…

Q: A woman is riding a jet ski at a speed of 30 m/s and notices a seawall straight ahead. The farthest…

A: The expression for the distance is,

Q: nd 4. A 22.0 kg child is riding a playground merry-go-round that is rotating at 40.0 rev/min. What…

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Q: A Dangerous Ride. You and your exploration team are stuck on a steep slope in the Andes Mountains in…

A: Given, Angle, θ=40° Diameter, D=88m Radius, R=882R=44m   The vertical force, mg=Ncosθ The slip…

Q: A Dangerous Ride. You and your exploration team are stuck on a steep slope in the Andes Mountains in…

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Q: A jet flying at 112 m/s banks to make a horizontal circular turn. The radius of the turn is 3810 m,…

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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: 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: It was a dark and stormy night in Winona, Minnesota. A driver advances along an icy road - assume…

A: This is case of Banked turn when there is no friction ,speed with which person take the turn to…

Q: dent ties a 530.0 g rock to a 1.75 m-long string and swings it around her head in a horizontal…

A: Given that: The mass of the rock is m=0.530 kg The length of the string is l=1.75 m. The…

Q: A long string is wrapped around a 6.3-cm-diameter cylinder, initially at rest, that is free to…

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Q: A string can withstand a maximum tension of 80 N without breaking. It is being used to spin a 3.0 kg…

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Q: A car enters a 364-m radius horizontal curve on a rainy day when the coefficient of static friction…

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Q: Mohamad is driving a car around a turn of radius r = 20 m. The road is on a banked curve of 30…

A: The radius of the path is 20 m.The angle of banked curve is 30o.The coefficient of the static…

Q: Modern wind turbines are larger than they appear, and despite their apparently lazy motion, the…

A: The length of blades are: r = 59 mThe revolutions of the blade are: N = 14 rpmThe blade's velocity…

Q: Bob is driving with constant speed in a curved path with radius r = 50 m. If the coefficient of…

A: Radius of the circular track, r=50 m Coefficient of static friction, μ=0.5 The free body diagram of…

Q: You are designing a highway which will be safe even if there is no friction between the tires of the…

A: The ideal embankmenr angle is given in radians by the formula, tan(θ)=V2rg where, θ= embankment…

Q: Q. 2: What will be the maximum speed of a car on a road turn of radius 30 m, if the coefficient of…

A: Given Data :                     Radius (r)=30 mCoefficient of friction (μ)=0.4g=9.8 m/s2 To find :…

Q: Helicopter blades withstand tremendous stresses. In addition to supporting the weight of the…

A: Given Data : The length of the blades is given as r = 4m, The frequency of the helicopter blade is…

Q: A race track curve has a radius of 90 m and is banked at an angle of 15°. the coefficient of static…

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Q: At a circus, a stunt rider is going to do a "Loop-de-Loop". The radius of the circular part of the…

A: GIVEN            Radius, r = 8.13 m              Mass, m = 318 kg                Speed, V = ?

Q: Two banked curves have the same radius. Curve A is banked at 13.9 °, and curve B is banked at an…

A: For the curve A speed, v is 13.7 m/s, Angle, A = 13.9o .For the curve B: Angle, A = 18.9o. we have…

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

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Q: Life scientists use ultracentrifuges to separate biological components or to remove molecules from…

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Q: A block is placed on a turntable 43 cm from the axis of rotation. The turntable very slowly speeds…

A: Given: The length of the block from turntable is R=43 cm. The turntable very slowly speeds up to…

Q: A vial containing a blood sample is placed into a centrifuge, which spins the sample quickly to…

A: Given  radius r = 0.12 m  frequency f = 1750 rpm = (1750/60 ) rps = 29.17 rps  mass m  = 95 g =…

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.