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- A 25 kg child sits in the middle of a frozen, frictionless pond of radius 15 m with their 11 kg dog. In order to make it off the pond, the child pushes off of the dog. The dog then travels at a velocity of 14 m/s. What is the speed and direction of the child? How long does it take the child to make it to the edge of the pond? How long does it take the dog to make it to the edge of the pond?Two skydivers are holding on to each other while falling straight down at a common terminal speed of 51.10 m/s. Suddenly, they push away from each other. Immediately after the separation, the first skydiver, who has a mass of m₁ = 83.80 kg, has a velocity of with the following components ("straight down" corresponds to the positive z- axis). V1,2 = 5.430 m/s V₁,y = 3.750 m/s v₁,2 = 51.10 m/s Assuming that there are no horizontal forces of air resistance acting on the skydivers, V2 (a) What are the x-, y- and z-components of the velocity of the second skydiver, whose mass is m₂ = 52.20 kg, immediately after the separation? (b) What is the change in kinetic energy of the system AK system?8. A skier starts from rest at the top of a 20° incline and skis in a straight line to the bottom of the slope, a distance d (measured along the slope) of 400 m. If the coefficient of kinetic friction between the skis and the snow is 0.2, calculate the skier's speed at the bottom of the run.
- Two packing crates of masses m, = 10.0 kg and m, = 7.30 kg are connected by a light string that passes over a frictionless pulley as in the figure below. The 7.30-kg crate lies on a smooth incline of angle 43.0°. Find the following. m, (a) the acceleration of the 7.30-kg crate m/s2 (up the incline) (b) the tension in the string N7. A car is right on the verge of sliding as it speeds around a level circular track. The radius of the circular track is 21 m, and the coefficient of static friction between the car's tires and the track is 0.7, while the coefficient of kinetic friction is 0.56. What is the speed of the car?A 30 kg object at the origin and initially at rest experiences a force given by F = 3N vt î + 2N tĵ. What is the object's speed and direction after 20 s?
- Two masses of weight 30.0 NN are suspended at opposite ends of a rope that passes over a light, frictionless pulley. The pulley is attached to a chain that goes to the ceiling. What is the tension in the rope? What is the tension in the chain?.A train car is accelerating with an unknown acceleration. There is a small mass hanging from a string that is attached to the ceiling of the train car. Because the train is accelerating forward, the mass is angled backwards at 6.4 deg. from the vertical. What is the magnitude of the train's acceleration?
- ✓ The earth's mass is 90 times that of moon and their diameters are in the ratio 4 : 1. What is the value of g on moon? g on earth = 9.8 m/s 2)A hockey puck (mass = 2 kg) leaves the players stick with a speed of 20 m/s and slides on the ice before coming to rest.The coefficient of friction between the puck and the ice is 0.9. How far will the puck slide after leaving the players stick? mGibbons, small Asian apes, move by brachiation, swinging below a handhold to move forward to the next handhold. A 9.0 kg gibbon has an arm length (hand to shoulder) of 0.60 m. We can model its motion as that of a point mass swinging at the end of a 0.60-m-long, massless rod. At the lowest point of its swing, the gibbon is moving at 3.5 m/s. What upward force must a branch provide to support the swinging gibbon?