Mr. M is a professional race car driver. The race track he is about to drive on has a curve that is designed so that the smallest circular curve he can take has a radius of 112m and the biggest circular curve he can take has a radius of 165m. The height of the outer wall of the track is 18m. The race is happening after a snow storm, so he is assuming there is no friction. What is the fastest speed he can safely take this corner?

Q: This figure shows the loop-the-loop track for a smaller car. If the initial speed of the car is 4.0…

A: Use energy conservation and force balance equations

Q: This figure shows the loop-the-loop track for a smaller car. If the initial speed of the car is 4.0…

A:

Q: A car driving around a circular track has a centripetal acceleration of 91 m/s291 m/s2 until it hits…

A:

Q: A car starts from rest at time t = 0 and moves around a circular track of radius 100 m. Its speed…

A: Given: The radius of track is R=100 m. The tangential acceleration is aT=2 m/s2. The initial…

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: A roller-coaster car has a mass of 1000 kg when fully loaded with passengers. As the car passes over…

A:

Q: Mr. M is now racing on a track that looks like the description in the picture. He laps around this…

A:

Q: Determine the minimum speed necessary for a roller coaster car to pass the top of a 12 m radius loop…

A: Given , radius of loop r = 12m   Let mass of coaster = m

Q: Mr. Muscedere is a professional race car driver. The race track he is about to drive on has a curve…

A:

Q: Give an everyday example of circular motion for which the centripetal acceleration is mostly or…

A:

Q: A 1500 kg car drives at 30 m/s over a circular hill that has a radius of 460 m. At the point shown…

A: Write a given values of this question. m=1500kgv=30m/sr=460mθ=30∘

Q: A car (m = 1087 kg) is moving at 20 m/s when it encounters a circular hill of radius 93 m. Assuming…

A: Given, mass of the car, m = 1087 kgvelocity of the car, v = 20 msradius of the hill, r = 93 m

Q: A toy car, of mass 0.10 kg, is travelling along a track which contains a vertical circular loop of…

A:

Q: A roller coaster at the Six Flags Great America amusement park in Gurnee, Illinois, incorporates…

A: Hey, there are multiple subparts posted, we are authorized to answer three subparts at a time, since…

Q: What is the friction force on a 1800kg car if it rounds a curve with a radius of 110m at a speed of…

A: Given:-          Friction force = 1800 kg             radius = 110 m.             Speed = 15 m/s.…

Q: A 1000kg car is moving at 30 m / s in a horizontal curve whose diameter is 0.20km. What is the…

A:

Q: A girl on a bicycle takes 16.6 s to ride half way around a circular track of radius 12.0 m  (a)…

A: (a)The average speed of the girl travelling path in a half way around a circular track is.

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: Consider the following figure. A race track is constructed such that two curves of constant radius,…

A:

Q: Andrei takes his new gravel bike out in his village. He is going at a speed of 15 m/s along a…

A:

Q: A 0.35kg ball is attached to a rope in a horizontal circle of radius 85cm. If the rope can withstand…

A: Given that            The mass of the ball is (m) = 0.35Kg            Radius of horizontal circle…

Q: The drawing shows a version of the loop-the-loop trick for a small car. The radius of the loop r =…

A:

Q: Which of these equations would you use to calculate the very least speed with which you could swing…

A:

Q: A rollercoaster goes over a hump of radius 15 m. What is the maximum speed it can have at the…

A: A rollercoaster goes over a hump of radius 15 m

Q: 11. A toy race car travels through a loop-the-loop (a circle in a vertical plane) on a track.…

A: Given: A toy car travels along vertical circle. Speed of car at the top of loop is greater than…

Q: A roller coaster has a circular loop with a diameter (height) of 39 meters. When the coaster is…

A:

Q: A car travels around a racetrack at a constant speed. The various curves the track makes, have…

A: When car travels around a racetrack , having various curve, at constant speed , then the magnitude…

Q: You're designing a highway so that the maximum centripetal acceleration on a curve is no more than…

A: GivenAcceleration a = 1.1 m/s2Velocity v = 100 km/h

Q: 1 points "A roller coaster car is on a track that forms a circular loop in the vertical plane. If…

A: Centripetal  force = mv2 /r

Q: The answer to the first question is correct I can't figure out the second one.

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

Q: Racing on a flat track, a car going 32 m/s rounds a curve 56 m in radius. a. What is the car's…

A: Given  Velocity = 32 m/s Radius = 56 m (a) We know the expression for Centripetal acceleration is Ac…

Q: A jet pilot takes his aircraft in a vertical loop , if the jet is moving at a speed of 1140 km/m ,…

A:

Q: In a roundabout (or traffic circle), cars go around a 25-m-diameter circle. If a car’s tires will…

A:

Q: An aston martin v8 vantage sports car has a "lateral acceleration" of 7 m/s^2. this is the maximum…

A:

Q: A roller-coaster car with mass 840 kg is launched from a huge spring with k = 31 kN/m into a…

A: Use conservation of energy to calculate the roller coasters velocity at the top of the loop.  spring…

Q: A bicyclist is at the bottom of a hill with a speed of 30 ft/s. After traveling 600 ft on the road,…

A: Given, v = 15 ft/s ,  a = 1.3 ft/ s2  we know, a = v2 / r r = v2 / a r = 152 / 1.3 r = 0.173 * 103…

Q: *44. a0 A small lead ball, attached to a 1.5-m rope, is being whirled in a circle that lies in the…

A: Scenario - A lead ball is rotated in circle lying in vertical plane. During the upward motion it is…

Q: The figure shows a version of the loop-the-loop trick for a small car. If the car is given an…

A: Given, Initial velocity = 4.0 m/s

Q: In a roundabout (or traffic circle), cars go around a 25-m-diameter circle. If a car’s tires will…

A: Assume that the traffic circle is unbanked. The force of friction must be at least equal to the…

Q: Andrei takes his new gravel bike out in his village. He is going at a speed of 15 m/s along a…

A: Velocity is always tangent to path.-Correct statement Since tangent to the path sows the direction…

Q: A 6.0 x 102 kg car is moving around a circular track that has a radius of 1.00 x 102 m at 20. m/s.…

A: Mass of car, m = 6×10² kg Radius of circular track, r = 1×10² m Velocity of car, v = 20 m/s…

Q: Suppose we climb a mountain that is a cone with radius ro= 100 and height h = 4. We start at the…

A: Suppose the cone is flat. Calculate the radius of the flat cone. Here, ro is the radius of the cone…

Displacement, Velocity and Acceleration

In classical mechanics, kinematics deals with the motion of a particle. It deals only with the position, velocity, acceleration, and displacement of a particle. It has no concern about the source of motion.

Linear Displacement

The term "displacement" refers to when something shifts away from its original "location," and "linear" refers to a straight line. As a result, “Linear Displacement” can be described as the movement of an object in a straight line along a single axis, for example, from side to side or up and down. Non-contact sensors such as LVDTs and other linear location sensors can calculate linear displacement. Non-contact sensors such as LVDTs and other linear location sensors can calculate linear displacement. Linear displacement is usually measured in millimeters or inches and may be positive or negative.