Q. A 0.65kg block of ice is sliding by you on a very slippery floor at 3 m/s. As it goes by, you give it a kick vertical to its path. Your foot is in contact with the ice block for 0.003 seconds. The block eventually slides at an angle of 23 degrees from its original direction (labeled θ in the diagram). The overhead 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.) Use your answers to the preceding questions to find the z-component of the block's momentum after kick.

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