1) A bike with mass 13

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1) A bike with mass 13.5 kg, with a rider having mass 63.5 kg, is travelling at 32 km/h when the rider applies the brakes, locking the wheels. How far does the bike travelbefore coming to a stop if the coefficient of friction between the rubber tires and asphalt road is 0.60

2.  A paper airplane flies 2.64 m [W 26 N] and is then caught by the wind, which causes it to travel 3.21 m [S 12 E]. What is the plane's total displacement?

(3). The magnitude of the force of gravitational attraction between two uniform spherical masses is 36 N. What would the magnitude of the force be if one mass were doubled, and the distance between the objects tripled?

(4). While going on a camping trip, you come to a cliff overlooking a lake. A topographical map shows that the cliff is 291 m high and the lake is 68.5 m wide at that point. You throw a rock directly forward from the top of the cliff, giving the rock a horizontal velocity of 12.8 m/s.

(a) Did the rock make it across the lake? Show all your steps.

(b) With what velocity did the rock hit the ground or water?

(5). A highway curve in the horizontal plane is banked so that vehicles can proceed safely even if the road is slippery. Determine the proper banking angle for a car travelling at 97 km/h on a curve of radius 450 m.

(6). A fletcher's trolley apparatus consists of a 4.0 kg cart and a 2.0 kg mass attached by a string that runs over a pulley. Find the acceleration of the trolley and the tension in the string when the suspended mass is released.

(7). In cathode ray tubes light is produced when electrons collide with phosphor molecules on the surface of the screen. The electrons (mass 9.1 × 10−31 kg) are accelerated from rest in the electron "gun" at the back of the vacuum tube. Find the velocity of an electron when it exits the gun after experiencing an electric force of 6.8 ×  N over a distance of 3.5 mm.