>OC Spire 6:53 AM Grades Quiz-ch1,2 Detail Submission Grade A bin has a volume o

Question

>OC Spire 6:53 AM Grades Quiz-ch1,2 Detail Submission Grade A bin has a volume of 1.5 meter cube What is the volume of the bin, inch cube? What is (0.405 /0.76) to the proper number of significant figures? The magnitude of the vector is 5.5. Vector lies in the second quadrant and forms an angle 30 degrees with the y-axis. What are the components, x and y? 4. A test rocket is fired straight up from rest with a net acceleration of 20 m/s 2 After 4 seconds the motor turns off, but the rocket continues to coast upward What maximum elevation does the rocket reach? An airplane needs to reach a velocity 500mls to take off. On a runway 2000m long, what is the minimum acceleration necessary for the plane to take off m = 100 cm 1 in = 2.54 cm 1 ft = 12 in A bin has a volume of 1.5 m3. What is the volume of the bin, in 3 Courses Calendar To Do Notifications Messages

Explanation / Answer

volume   V = 1.5 m3

1 m = 39.37 inches

V = ( 1.5*39.37)3 = 205953.90 inch3

0.405/0.76 = 0.005 , 3 significant figures.

vector magnitude = 5.5

angle with y -axis = 30 deg in second quadrant.

the vector makes 90+30 = 120 deg with +x-axis

x-comp = 5.5 Cos(120) = -2.75

y-comp = 5.5 Sin(120) = 4.76

4. acceleration a = 20m/s2 , net acceleration, gravity taken into account.

vel. after 4 s = 20*4 = 80 m/s

Now no more force on it , only gravitational force work down ward direction.

g = 9.8 m/s

maximum hieght h = u2/2g ; u2 - v2 = 2gh , final vel v=0 at maximum height

                                 = 802/2*9.8 = 326.5 m

This the height from the point where the motor is off

add to this intial height in 4 sec

         at2/2       = 20*42/2 = 160m

Total max.height = 160 + 326.5 = 486.5 m

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