1. A block of mass 2.5 kg is placed against a compressed spring (k = 2900 N/m) at the bottom of an inclined plane, as shown. When the spring is released the block is projected up the incline and the spring expands by 14 cm to its normal length.
Calculate the maximum distance traveled by the block up the incline without friction.
Repeat the calculation with friction, taking µk = 0.22.
2. A 15,000 kg loader traveling east at 20 km/h turns south and travels at 25 km/h. Calculate the change in the loader's
kinetic energy.
linear momentum.
3. A 470-g firework is traveling straight up at 13 m/s when it explodes into two pieces. The smaller piece (150 g) shoots off horizontally towards the East at 20 m/s. Find the speed and direction of the other piece directly after the explosion.
4. Three masses are positioned on a frictionless surface, as shown. Initially, mass m1 (1.0 kg) moves with a velocity of 2.0 m/s to the right, mass m2 (2.0 kg) is at rest, and mass m3 (3.0 kg) moves to the left with a velocity of 0.50 m/s. First, mass m1 collides elastically with mass m2 and recoils to the left. Afterwards, mass m3 collides with mass m2 and sticks. Calculate,
a)the speeds of masses m1 and m2 after the first collision.
b)the speeds of masses m2 and m3 after the second collision.
5. A 2.0 kg ball moving with a speed of 3.0 m/s hits, elastically, an identical stationary ball as shown. If the first ball moves away with angle 30° to the original path, determine
a)the speed of the first ball after the collision.
b)the speed and direction of the second ball after the collision.
