8/19/2019 Tutorial 1 PHY400 (1)

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Tutorial 1 PHY400

1. A rectangular building lot is 100 ft by 150 ft. Determine the area of this lot in in square

meters.

2. A solid piece of lead has a mass of 23.94 g and a olume of 2.10 cm3

. !rom these data"calculate the density of lead in #$ units %&g'm3(.

3. An ore loader moes 1 200 tons'h from a mine to the surface. )onert this rate to

 pounds per second" using 1 ton * 2000 lb.

4. A person +al&s first at a constant speed of 5.00 m's along a straight line from point A

to point , and then bac& along the line from , to A at a constant speed of 3.00 m's. %a(

-hat is her aerage speed oer the entire trip %b( -hat is her aerage elocity oer 

the entire trip

5. A particle moes according to the equation  x = 10t 2" +here x  is in meters and t  is in

seconds. %a( !ind the aerage elocity for the time interal from 2.00 s to 3.00 s. %b(

!ind the aerage elocity for the time interal from 2.00 s to 2.10 s.

/. A particle starts from rest and accelerates as sho+n in !igure 1. Determine %a( the

 particles speed at t * 10.0 s and at t * 20.0 s and %b( the distance traelled in the first

20.0 s.

!igure 1

. he polar coordinates of a point are r  * 5.50 m and θ  * 240o. -hat are the )artesian

coordinates of this point

. !igure 2 sho+s t+o people pulling on a stubborn mule. !ind the single force that is

equialent to the t+o forces sho+n. he forces are measured in units of ne+tons %(.

8/19/2019 Tutorial 1 PHY400 (1)

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!igure 2

Answer:

1. 1.39x103 m2

2. 1.14x104 kg/m3

3. 667 lb/s4. (a) 3.75 m/s (b) 05. (a) 50 m/s (b) 41.0 m/s6. (a) 20 m/s , 5 m/s (b) 262 m7. x = -2.75 m, = -4.76 m!. "F" = 1!5 #, θ = 77.!$