Assignment in Physics (July 23, 2013)

1. A boat leaves shore and travels 30 km East and then 15 km 50 degrees South of East. Find the boat’s resultant displacement.

2. Meredith leaves the office, drives 26 km due North then turns onto a street and continues in a direction 30 degrees North East for 35 km and finally turns onto the highway due East for 40 km. What is her total displacement from the office?

3. A pizza delivery man leaves the store and drives his motorcycle 2 km in a Northerly direction to the next street. He then drives in a direction of 60 degrees South of East for 1.2 km to another street. What is his displacement?

Fifth Weekly Test in Science IV

I.     Define the following mathematically:

1.       Pythagorean Theorem

2.       Cosine Function

3.       Sine Function

4.       Tangent Function

5.       Angle of Direction derived from tangent function

II.     Vector Addition Using the Pythagorean Theorem

1.       A chicken looking for food roams around a farm 6.34 m due North stops for a while and continues 3.89 m in the same direction. Finally, it turns 5.30 m going to the East.

2.       Toto runs 3 m to the East before he releases his paper made plane. The plane flies 11.81 m/s in the same direction as Toto when he ran. The wind blows, the direction of the plane changes going to the North for 5.2 m/s.

3.       The following are the applied forces of a student to his book: 15 N to the right and 8 N away from him.

III.   Vector Resolution.

1.       A side in a park is 630 cm long. It creates an angle with the horizontal of 33 degrees. Find the components in meters.

2.       A ship sails 2036.04 km, 24.5 degrees North of East.

3.       Lannie and Lettie is pulling a cabinet using two ropes at right angle to each other. Their resultant force is 144.32 N which is 33.69 degrees with the x-axis.

Bonus Question:

A wooden table has a weight of 232.96 N. What if the table is moved to the West with the same amount of force as its weight, determine the resultant force.