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- A 14000N car traveling at 25 m/s rounds a curve of radius 200 m. Find the following 1. The centripetal acceleration of the car? 2. The force that maintains centripetal acceleration? 3. The minimum coefficient of static friction bettween the tires and will allow the car to round the curve safely?What friction force is required by a 2000kg car's tires turning around a corner with a radius of 10m, and a linear velocity of 14m/s?Let's consider an astronaut with a mass of 76.0 kg standing on the Earth. What is the gravitational force (in N) on the astronaut? (Review your work from the previous part. Remember that you can use the full gravitational force formula, or w = mg.) weight on the Earth's surface = 744.8 N Now let's imagine that same astronaut in orbit aboard the space station, orbiting at an altitude (height above the Earth's surface) of 380 km. We first need to find the astronaut's distance to the center of the Earth. What is the altitude expressed in units of meters? 380 km = 380000 The radius of the Earth is 6.37 ✕ 106 m. What is the total distance (in m) from the center of the Earth to the astronaut? r =_________m Finally, let's put it all together. Use the universal gravitational force formula to find the force (in N) on the astronaut, where m = 76.0 kg, the Earth's mass ME = 5.97 ✕ 1024 kg, and the distance r is the result you just found. F = ______N solve for the two bolded…
- A fullback is running a sweep around the left side of the line. As he rounds the turn, he is momentarily moving in circular motion, sweeping out a quarter-circle with a radius of 4.17 meters. If the 83.5-kg fullback makes the turn with a speed of 5.21 m/s, then what is his acceleration, the net force, the angle of lean (measured to the vertical), and the total contact force with the ground? PSYW a = ____________ Fnet = ____________ Fgrav = ____________ Fnorm = ____________ Ffrict = ____________ Fcontact = ____________ Angle of Lean = ____________A rollercoaster goes over a hump of radius 15 m. What is the maximum speed itcan have at the highest point of the hump without the riders flying out of theirseats?What are the concepts involved when trying to find the rate of change of centripetal force with respect to the distance from the center of rotation? The centripetal force of an object of mass is given by F(r)=mv^2 / r, where v is the speed of rotation and r is the distance from the center of rotation.
- The diagram shows a ball spinning in a horizontal circle. The grid scale is O.SON to one square. ga9.8m,ws. The radius of the Circle iS 0.50m. What iS the horizontal cortVonent of the force F? (in N)What IS the value weight force?What is the value of Vertical component of F?Calculate the size of the mass in KG?(Give your answer to 2 S.F)What is the size of the horizontal component of F?What is the acceleration of the mass? (in m/s/s)Suppose a mass is moving in a circular path on a frictionless table as shown below. In Earth’s frame of reference, there is no centrifugal force pulling the mass away from the center of rotation, yet there is a force stretching the siring attaching the mass to the nail. Using concepts related to centripetal force and Newton’s third law; explain that force stretches the string, identifying its physical origin.Suppose a child is riding on a merry-go-round at a distance about halfway between its center and edge. She has a lunch box resting on wax paper, so that there is very little friction between it and the merry-go-round. Which path shown below will the lunch box take s1wn she lets go? The lunch box leaves a trail in the dust on the merry-go-round. Is that trail straight, curved to the left, or curved to the right? Explain your answer.
- If the length of the centrifuge arm is 13.0 m, at what speed is the rider moving when she experiences 10 g’s? Express your answer with the appropriate units.A child sitting 1.40 m from the center of a merry -go- round moves with a speed of 1.55 m/s , calculate the centripetal acceleration ( aR) of the child ? and calculate the net horizontal force ( FR) exerted on the child ( mass = 33.5 kg)A 42 kg child sits on a bathroom scale while riding aFerris wheel. The child has a stopwatch and observesthat the wheel takes 32 seconds to complete tworevolutions. When the child is at the top of the wheel,he notices that the scale reads 29 kg. What is thediameter of this Ferris wheel?