Q. A 0.5 kg block of ice is sliding by you on a very slippery floor at 2.5m/s. As it goes by, you give it a kick perpendicular to its path. Your foot is in contact with ice block for 0.0025 seconds. The block eventually slides at an angle of 22 degrees from its original direction. The overhead view is approximately to scale. The arrow represents the average force your toe applies briefly to the block of ice.

1. What is the unit vector in the direction of the block's momentum after kick?

2. What is the x-component of the block's momentum after kick?

3. What is the magnitude of the block's momentum after kick?

4. Make use of your answers to the preceding questions to find the z-component of the block's momentum after the kick.

5. What was the magnitude of the average force you applied to the block?