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You want to design the loop-the-loop toy. The idea is that a ball of mass m=0.01 kg and radius r = 5.0 cm will roll down an inclined track and around the loop without slipping. The ball starts from rest at a height of h meters above the tabletop that supports the whole track. If the radius of the loop is R = 0.25 m, determine the minimum height necessary for the ball to remain in contact with the track during the whole loop-the-loop journey.
For no apparent reason, a poodle is running at a constant speed of 3.40 m/s in a circle with radius 2.8m. Let v1 be velocity vector at time t1, and let v2 be the velocity vector at time t2.
If the coefficient of static friction is 0.500, what minimum force magnitude is required from the rope to start the crate moving
You are on the Turkish Twist, an amusement park ride with your back against the wall of a spinning vertical cylinder of radius 4.0 m, What is the minimum number of revolutions per minute necessary to prevent you from sliding down the wall
The pulmonary artery, which connects the heart to the lungs, is about 8.0 cm long and has an inside diameter of 5.0 mm. what is the required pressure difference over its length
Find out the speed of a 56.7 kg thrill seeker at the bottom of the slide, assume no friction. If the thrill seeker has a speed of 24.1 m/s at the bottom, find out the change in mechanical energy due to friction.
A 120 kg mail bag hangs by a vertical rope 4.00 m long. A postal worker then displaces the bag to a position 2.10 m sideways from its original position, always keeping the rope taut.
A student (m= 75 kg) falls freely from rest and strikes the ground. throughout the collision with ground, he comes to rest in a time of 0.040 s. the average force exerted on him by the ground is +18 000 N.
A vertical square plate (10' x 10') is used to dam a channel. determine the total resultant force on the plate and the location
A group of people with total mass 1500 kg stands in a boat with mass 12,000 kg at rest in frictionless water. If the whole group walks 6.5 m from bow to stern, how much does the boat move in meters
A 0.75?F capacitor is charged to 90V . It is then connected in series with a 35? resistor and a 150? resistor, How much energy is dissipated by the 35? resistor
A runner is practicing on a circular track that is 535 m in circumference. From the point farthest to the east on the track, he starts off running due south and follows the track as it curves around toward the west.
In a second training exercise, the centrifuge speeds up from rest with a constant angular acceleration. When the centrifuge reaches an angular speed of 2.50 rad/s.
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