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The displacement vectors A and B, when added together, give the resultant vector R, so that R = A + B. Use the data in the drawing and the fact that φ = 31° to find the magnitude R of the resultant vector and the angle θ that it makes with the +x axis.


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A rock falls from rest a vertical distance of 1.32 meter to the surface of a planet in 0.63 second. The magnitude of the acceleration due to gravity on the planet is approximately

A cannonball is fired horizontally at 23.40 m/s from the edge of a 55 m building. Determine the: (a) height of the cannonball from the ground after 2 s. (b) time taken by the cannonball to reach the ground. (c) distance from the base of the building to the point where the its landed.


shows a piece of block is 15 cm long, 7 cm wide and 3 cm thick is floating with one-third of its volume above the water level. Calculate the buoyant force exerted on the block.


A cannonball is fired horizontally at 23.40 m/s from the edge of a 55 m building.

Determine the:

(a) height of the cannonball from the ground after 2 s.

(b) time taken by the cannonball to reach the ground.

(c) distance from the base of the building to the point where the its landed


while fishing, you notice that eight crests pass a given point in a time interval of 10s. You approximate the distance between two crests to be 1.2m. Calculate the


a. Speed of water waves and


b. Depth of water

What is the velocity of the wave in a guitar string having a length of 0.65m and a mass of 3.5g when subjected to a tension of 250N?

A sodium surface is illuminated with light of wavelength 0.300 mm. The work function for sodium is 2.46 eV. Calculate

(a) the energy of each photon in electron volts,

(b) the maximum kinetic energy of the ejected photoelectrons, and

(c) the cutoff wavelength for sodium.


. List some ways our day-to-day lives would change if the speed of light were only 30 m/s.


. If astronauts could travel at v = 0.950c, we on Earth would say it takes (4.20/0.950) = 4.42 years to reach Alpha Centauri, 4.20 light-years away. The astronauts disagree.

    (a) How much time passes on the astronauts’ clocks?

    (b) What is the distance to Alpha Centauri as measured by the astronauts?


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