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Vector ⃗ has magnitude of 8units and makes an angle of 450 with the positive x-axis. 

Vector ⃗⃗ also has the same magnitude of 8units and directed along the negative x-axis. 

Find

a. The magnitude and direction of ⃗ ⃗⃗


A cube of mass 10kg is at rest on a horizontal surface when it is subjected to a horizontal for P that varies with time t as P=20t. If the static and kinetic coefficients of friction are both 0.4, calculate the velocity of the cube after 5s.


Two point charges with Q_{1} = 8mu * C and Q_{2} = - 4mu * C are arranged as shown in the figure. If L = 0.03m , what is the electric field at the origin?

An escalator is used to move 15 passengers every minute from the first floor of a department store to the second. The second floor is located 6 meters above the first floor. The average passenger's mass is 52 kg. Determine the power requirement of the escalator in order to move this number of passengers in this amount of time. 


What is the Kinetic Energy of a 1300 kg object that is moving with a speed of 30 m/s? *


A tennis ball is traveling at 40 m/s and has a kinetic energy of 80 J. Calculate the mass of the tennis ball. *


 Michael (mass of approximately 60 kg) does push-ups by applying a force to elevate its center-of-mass by 20 cm in order to do 850 Joule of work. If the man does all this work in 5 seconds, then determine its power.


An escalator is used to move 15 passengers every minute from the first floor of a department store to the second. The second floor is located 6 meters above the first floor. The average passenger's mass is 52 kg. Determine the power requirement of the escalator in order to move this number of passengers in this amount of time. *


What is the capacitance of a parallel plate capacitor with metal plates, each of area of 6.00 m2, separated by 10.00 mm?


A 10kg coconut is positioned on top of the roof of a house that has a height of 5.00m and is

located on the edge of a cliff that is 20m high. Determine the gravitational potential energy of

the coconut relative to the following position: a.) on the top of the roof of the house, b. the

floor of the house c. the bottom of the cliff.3. How much potential energy does a car gain if a

crane lifts the car with a mass of 1500kg 20m straight up?