A cyclist races around a circular track at the constant speed of 20 m/s. The radius of the track is 40 m. Find the centripetal acceleration of the cyclist. SHOW YOUR WORK

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A: Given : Centripetal acceleration= 52000 times the acceleration due to gravity Distance = 7.5 cm =…

Q: 7. A 2 kg ball is shot with a speed of 80 m/s at 30° relative to the horizontal. a. How high does it…

A: Given :-  mass = 2Kg v=80m/s angle = 30o

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A: Apply energy conservation concept.

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Q: Find the centripetal acceleration at the top of a test tube in a centrifuge, given that the top is…

A: Given data:  Distance from axis of rotation (r) = 4.2 cm = 0.042 m Linear speed (v) = 77 m/s…

Q: Table 2 lass of the wooden ball : 24 598 dynes Trial 1 3 r (cm) 70 cm 70 cm 70 cm No. of rev. 10 10…

A: Solution: For trial 1: mg=24598 dynes=0.25Nm=0.259.8=0.025kg=0.025×103 g   =25gr=70cmv=793.9…

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A: Distance of the soup from the table is S = 0.75 m Height of the table is H = 1.35 m

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A: Given diameter d = 10.86 m radius r = d/2 = 10.86/2 = 5.43 m frequency = 9.2 rpm = 9.2/60 rps =…

Q: whirls the stone so that it moves in a horizontal circle at constant speed. (a) Draw a diagram…

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Q: 5) sprinter running on a circular track has a velocity of constant magnitude 9.20 m/s and a…

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Q: A car takes a circular turn at constant speed. The force necessary to accelerate the car is due to…

A: While negotiating a circular turn, the centripetal force Fc isFc=mvN2rwhere m is the mass of the…

Q: A rope (1.5 m) is attached to an object of 2 Kg and is being swung with a velocity of 2 m/s in a…

A: Solution: Part a) The centripetal acceleration of the object is given by: a=v2/r where v is the…

Q: A mass m is placed a distance D to the right of a disc along its central axis. The disc has a mass M…

A: Solution: The gravitational field due to the mass M to the mass m is given by the following…

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A: Given data, Speed of car A = v radius of curve of car A = r speed of car B = 2v radius of curve B =…

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Q: Problem 2. Scattering. A comet is approaching the sun. Its velocity at infinity was vo. The impact…

A: Use components of vector

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Q: Use the gravitational acceleration equation to answer the following problem (G =…

A: Given:-  m= 1.898 X 1027 kg  distance = 5.88 X 1012  m  G=6.673 X 10-11 Nm 2/kg2 Find:-  The force…

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Q: A Car is driven with constant speed around a circular track. Answer each of the following questions…

A: A car is moving in a circular track it's velocity and acceleration is represented as follows

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A: In the given problem we have to find out distance of the ball from the hole when it stops. First we…

Q: What speed does a car need to have as it drives over a hill with a radius of 30 m in order to lose…

A: Given :     Radius of hill, r = 30 m We have,     acceleration due to gravity, g = 9.8 m/s2

Q: Roll a marble from one horizontal surface to another connected by a ramp. Include a slight angle of…

A: According to snell's law sinθ∝1nOr nsinθ =constant If ray incident on a medium of refractive index…

Q: A slender, uniform bar weighs 193 lbs and is shown below. It has an angular velocity of 2 rad/sec…

A: sum of all forces in y-axis =0, NA-193=0 NA=193lb up Frictional force AT A=meu.mg 0.1x193=19.3N…

Q: For an object with a given mass on Earth, calculate the weight of the object with the mass equal in…

A: Given, Mass(m)= 13kg g= 9.8 m/s²

Central Force

Central force is the force that acts along the center of mass of one body to the center of mass of another body. Its direction from or away from a point on a body to another is called the center of the force. Such forces include gravitational force between two massive objects or electrostatic forces between two charged particles. So from atoms to planets, the central forces play an important role in shaping our daily lives. One of the remarkable features of central forces is that they are conservative, i.e. the total energy of a central force system can always be expressed as a gradient of a potential energy function.