1. SerCP9 6.P.040.MI.FB. A bullet of mass m = 8.00 g is fired into a block of ma

Question

1. SerCP9 6.P.040.MI.FB. A bullet of mass m = 8.00 g is fired into a block of mass M = 210 g that is initially at rest at the edge of a table of height h = 1.00 m (see figure below). The bullet remains in the block, and after the impact the block lands d = 2.30 m from the bottom of the table. Determine the initial speed of the bullet. m/s 2. SerCP9 6.P.050. Two automobiles of equal mass approach an intersection. One vehicle is traveling with velocity 13.7 m/s toward the east, and the other is traveling north with velocity v2i. Neither driver sees the other. The vehicles collide in the intersection and stick together, leaving parallel skid marks at an angle of 45.1 degree north of east. The speed limit for both roads is 35 mi/h, and the driver of the northward-moving vehicle claims he was within the limit when the collision occurred. Is he telling the truth? . Yes No What was the initial speed of the northward-moving vehicle? mi/h 3. WebAssignAlgPhys1 8.7.001 Tutorial. A rocket with a mass of 55,000 kg (including fuel) is burning fuel at the rate of 150 kg/s and the speed of the exhaust gases is 6,000 m/s. If the rocket is fired vertically upward from the surface of the Earth, determine its height after 715 kg of its total fuel load has been consumed. Since the mass of fuel consumed is small compared to the total mass of the rocket, you can consider the mass of the rocket to be constant for the time interval of interest. m

Explanation / Answer

in vertical :

h = gt^2 /2

t = sqrt(2 x 2.3 /9.81 ) = 0.469 sec

in horzontal : d = ut

u =2.3 /0.469 = 4.91 m/s

now using momentum conservation,

0.008u = "(0.210 +0.008) x 4.91

u = 133.66 m/s

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