Two blocks are free to slide along the frictionless wooden track shown below. The block of mass m₁ = 4.93 kg is released from the position shown, at height h = 5.00 m above the flat part of the track. Protruding from its front end is the north pole of a strong magnet, which repels the north pole of an identical magnet embedded in the back end of the block of mass m₂ = 9.80 kg, initially at rest. The two blocks never touch. Calculate the maximum height to which m₁ rises after the elastic collision. m mi m2

A pilot wishes to fly from Bayfield to Kitchener, a distance of 100 km on a bearing of 100°. The speed of the plane in still air is 250 km/h. A 25 km/h wind is blowing on a bearing of 215°. A villain turns on a magnet that exerts a force equivalent to 5 km/h on a bearing of 210° on the airplane in the sky. Find how long the trip will take.

A ball with a mass of 1.50 kg rolls down a hemisphere from A to B. Se figure. At A, it has a centripetal acceleration with a magnitude of 1.80 m/s² and a speed of 1.20 m/s. At B, it has a centripetal acceleration with a magnitude of 5.50 m/s? and a normal force with a magnitude of 4.30 N. Find the magnitude of the normal force on the ball at A, and the angle 0. Ignore friction everywhere. VA = 1.20 m/s В VB = ? 0= ? R = ?

A black aluminum glider floats on a film of air above a level aluminum air track. Aluminum feels essentially no force in a magnetic field, and air resistance is negligible. A strong magnet is attached to the top of the glider, forming a total mass of 240 g. A piece of scrap iron attached to one end stop on the track attracts the magnet with a force of 0.823 N when the iron and the magnet are separated by 2.50 cm. (a) Find the accelerationof the glider at this instant. (b) The scrap iron is now attached to another green glider, forming total mass 120 g. Find the acceleration of each glider when the gliders are simultaneously released at 2.50-cm separation.

A girl swings a 0.190 kg rock attached to a taut string in a circle around her head; her hand holds the end of the string above her head, and the string angles down slightly. The string is massless and 0.680 m long. A coordinate system lies with its origin at the location where the string comes out of the girl's hand. The positive z-axis points vertically upwards, the positive y- axis points horizontally towards the right, and the positive x-axis points out of the screen. At a certain instant, the rock makes 3.25 revolutions per second (rev/s) in a counterclockwise direction, as seen from above. The string is inclined at an angle of 0 = 12.4° below the xy-plane, and the projection of the string onto the xy- plane makes an angle o = 36.8° with the positive x-axis. What is the tangential velocity vector v in meters per second (m/s) at this instant? Report your answer using ijk unit vector notation. i = v, i + vyj+ vz k m/s

Three objects are connected by light strings. The string connecting the m1 = 5.65−kg object and the m2 = 4.80−kg object passes over a light frictionless pulley. A string passes over a pulley which is suspended from a horizontal surface. An object of mass m1 and an object of m2 are, respectively, attached to the left and right ends of the string as a 3.00-kg object is suspended from object m2, (a) Determine the acceleration of each object. object m1     magnitude m/s2 object m1     direction  ---Select--- up down object m2     magnitude m/s2 object m2     direction  ---Select--- up down object m3     magnitude m/s2 object m3     direction  ---Select--- up down (b) Determine the tension in the two strings. string between m1 and m2     N string between m2 and the 3.00-kg object     N

In Figure, assume I 1 = 2.00 A and I2 = 6.00 A. What is the relationship between the magnitude F1 of the force exerted on wire 1 and the magnitude F2 of the force exerted on wire 2? (a) F1 = 6F2 (b) F1 = 3F2 (c) F1 = F2 (d) F1 = 1/3F2 (e) F1 = 1/6 F2.

Solve D,E, F

A 140 g hockey puck is sliding across the frictionless surface of the ice at 2.32 m/s, and then a 12.6 N force is applied to it for 173 ms. At what angle (between Oo and 1800) from the initial velocity is the direction of the puck's final velocity if the force is applied at an angle of 1270 relative to the initial velocity?