A small remote-controlled car with mass 1.44 kg moves at a constant speed of v=11.8 m/s in a track formed by a vertical circle inside a hollow metal cylinder that has a radius of 5.00 m as shown below. Calculate the magnitude of the normal force exerted on the car by the walls of the cylinder at: a. point A (bottom of the track). b. point B (top of the track). 5.00 m A emuD n tn

a bucket of water with a mass of 25 kilograms is lifted from a well by a rope which is wound around a cylinder with a radius of 0.10 meters. A 0.50 meter crank is attached to the cylinder so that it wraps the rope around the cylinder. what is the minimum force that must be applied to the crank to lift the water bucket ?

A disk and a hoop of the same mass and radius are released at the same time at the top of an inclined plane. Which object reaches the bottom of the incline first? A) The hoop B) The disk C) Both reach the bottom at the same time. D) It depends on the angle of inclination. E) It depends on the length of the inclined surface. O A O B O C O D O E

And don't worry about whether the passengers would actually survive the trip. They are lightweight crash test dummies. NTC A cart of mass m= 347 kg is going around a circular loop-the-loop. There is no motor. The cart moves only under the influence of gravity. Ignore friction and let g = 9.81 meters per second squared. The loop has a radius of r meters. When the cart is at the top of the loop, the normal force on the cart (exerted by the track) pushes down on the cart with a force of N = 1,330 newtons. When it is at the bottom of the loop, the cart has a speed of 30.7 meters per second. What is the radius of the loop (in units of meters)?

A car with a mass of 1020 kg is traveling in a mountainous area with a constant speed of 64.9 km/h. The road is horizontal and flat at point A, horizontal and curved at points B and C. A B IC IB The radii of curvatures at B and C are: rg = 130 m and rc = 120 m. Calculate the normal force exerted by the road on the car at point A. Submit Answer Tries 0/12 Now calculate the normal force exerted by the road on the car at point B. Submit Answer Tries 0/12 And finally calculate the normal force exerted by the road on the car at point C.

I Review I Constants A uniform, solid, 1900.0 kg sphere has a radius of 5.00 m. Part A For related problem-solving tips and strategies, you may want to view a Video Tutor Solution of Journey to the center of the earth. Find the gravitational force this sphere exerts on a 1.70 kg point mass placed at the following distances from the center of the sphere 5.03 m. Express your answer in newtons. ΑΣφ ? F = N Submit Request Answer Part B Find the gravitational force this sphere exerts on a 1.70 kg point mass placed at the following distances from the center of the sphere 2.30 m. Express your answer in newtons. ? F = N

4. A pinball of mass M and radius R is pushed against a spring of spring constant k. The spring is compressed a distance D and the pinball machine ramp is inclined at an angle 0. The spring is then released. The pinball is a solid metal sphere that rolls without slipping. a. Determine the speed of the pinball as it leaves the spring. Hint: the spring force is not constant so you cannot use constant acceleration kinematics. Use conservation of mechanical energy instead. b. What is the distance that the pinball would go up the ramp before coming back down?

A 4m board weighing 60 N extends out over the edge of the table with 40% of the board's length off the table. How far beyond the table can a 20N cat walk before the board begins to tilt Meow, O A. 1.2 m О В. 1.5 m о С. 1.1 m O D. 1.4 m O E. None of the above

< 8 of 18 Exercise 13.35 an Review I Constants A thin spherical shell has radius rA = 3.00 m and mass mA = 35.0 kg. It is concentric with a second thin spherical shell that has radius TB =7.00 m and mass mg = 60.0 kg Part A What is the net gravitational force that the two shells exert on a point mass of 0.0200 kg that is 2.00 m from the common center of the two shells (inside both shells)? Express your answer with the appropriate units. HÀ ? F= Value Units Submit Request Answer • Part B What is the net gravitational force that the two shells exert on a point mass of 0.0200 kg that is 5.00 m from the common center of the two shells (in the space between the two shells)? Express your answer with the appropriate units. HÀ F = Value Units Submit Request Answer • Part C What is the net gravitational force that the two shells exert on a point mass of 0.0200 kg that is 8.00 m from the common center of the two shells (outside both ahelle2 MacBook Air DII 80 888 F10 F11 F12 F7 esc F3 F4 F5 F6…

A roller coaster includes a long ramp that leads into a Loop-D-Loop. A carriage starts from rest at the top of the ramp and rolls downward (the system is frictionless) The value of gravitational acceleration is 4.8m/s, The mass of the carriage is 80kg, The initial height of the carriage is 5, and the radius of the Loop-D-Loop 10m  1. a) Draw a photo of the carriage at the top of the ramp, and another at the top of the Loop. b)Calculate the velocity of the carriage at the top of the Loop-D-Loop?