A new design of Saturn 11 rocket with mass 1.24 x106 kg has a propulsion engine that can eject gases at a constant speed of 376.44 m/s (vGas) by burning fuel at a rate of 4.73  x10 5  kg/s (dmdT). In full tank, the rocket can carry a fuel of mass 44.63  x10 6  kg. If this design exceeds the velocity of 11,200 m/s it can can successfully escape Earth's gravity. Determine if this is so. Find its maximum velocity (velyZ)

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In a research facility, a person lies on a horizontal platform which floats on a film of air. When the person's heart beats, it pushes a mass m of blood into the aorta with speed v, and the body and platform move in the opposite direction with speed V. Assume that the blood's speed is 56.5 cm/s. The mass of the person + platform is 54.0 kg. The platform moves 5.95 ✕ 10−5 m in 0.160 s after one heartbeat. Calculate the mass (in g) of blood that leaves the heart. Assume that the mass of blood is negligible compared with the total mass of the person, and the person + platform is initially at rest. (Also assume that the changes in velocity are instantaneous.)

A sandbag of 30 kg is carried by a trolley of mass 250 Kg which moves at a speed of 24 km/h on a frictionless track. The sand starts to leak through a hole at a rate of 0.06 kg s-1. After the sandbag gets empty, find the speed of the trolley.

The 0.5-kg ball is fired from the tube at A with a velocity of v = 6 m/s. If the coefficient of restitution between the ball and the surface is e = 0.8, determine the height h after it bounces off the surface. v = 6 m/s 2 m 130° B C h

6) Locate the center of mass of the following molecules: (a) The HCl molecule has a dumbbell shape, as shown below, with the atoms separated by 1.30 × 10−10 m. The mass of the H atom is 1 u and that of the Cl atom is 35 u. (b) The H2O molecule is also shown below. The mass of the O atom is 16 u. The H and O atoms are separated by 1 × 10−10 m and the bond angle is 105 I need draw picture and show all work

6.5 The Conservation of Mechanical Energy A 13 g paper airplane is thrown from the top of a 40 m high building with an initial velocity of 1.8 m/s directed 13° above the horizontal. Using energy techniques and ignoring any air resistance, find the speed of the paper airplane as it reaches the ground below the building. i m/s S Hint Assistance Used Mechanical energy is conserved. What is the vertical change in position? What is the effect, if any, of throwing the airplane with an initial angle? Save for Later Submit Answer 387 of 760 words IX English (United States) JUN tv 21 Page 1 of 2 7 A G Focus W

An 18 g projectile moving at 600 m / s is buried in a 1.2 kg wooden block. The bullet penetrates 7 cm into the block before it stops. Find the average force that the bullet exerts on the block. (g = 9,81 m / s2)

1. A cosmonaut (total mass is 150 kg, including himself, his space suit, oxygen tanks, and a toolbox) accidentally floats away from the Mir space station at 0.667m/s without a tether. What minimum speed and in what direction does he need to throw his 10 kg toolbox in order to stop floating away from Mir? Please make sure you draw a clear diagram, identify initial and final states of the system, draw a bar chart consistent with the situation, and explain your reasoning.