Question

1. When a parachute opens, the air exerts a large drag force on it. This upward force is initially greater than the weight of the sky diver and, thus, slows him down. Suppose the weight of the sky diver is 913 N and the drag force has a magnitude of 1079 N. The mass of the sky diver is 93.2 kg. Take upward to be the positive direction. What is his acceleration, including sign?

2. The space probe Deep Space 1 was launched on October 24, 1998. Its mass was 474 kg. The goal of the mission was to test a new kind of engine called an ion propulsion drive. This engine generated only a weak thrust, but it could do so over long periods of time with the consumption of only small amounts of fuel. The mission was spectacularly successful. At a thrust of 56 mN how many days were required for the probe to attain a velocity of 725 m/s (1620 mi/h), assuming that the probe started from rest and that the mass remained nearly constant?

t=

Answer 1

Problem-1

The wight of the sky diver = 913N

The magnitude of the drag force = 1079N

Mass of the sky diver M = 93.2Kg

Now,

The net force (upwards) will be = 1079-913 = 166N

Therefore acceleration will be  

This is the acceleration towards upwards or in other words we can say that the decleartion of the sky diver will be 1.78 m/s²