Problem 3 Objects on the moon accelerate downward at a rate of 1.67 m/s² when in free-fall as opposed to 9.8 m/s² here on Earth. On the moon, a spaceship of mass 104 kg blasts its engines producing an upwards thrust force of magnitude T. If the ship accelerates upwards at 1.25 m/s², what is 7? Don't forget units!

If you have a ball with a mass of 6.00kg, that has an initial velocity of vA=(2.00i + 5.00j)m/s and a final velocity of vB=(-2.00i + 8.00j)m/s, What is the change in velocity in unit vector format?   a. -4.00i + 3.00j   b. -2.83i + 3.61j   c. 4.00i – 3.00j   d. 0.00i + 13.0j

A 9 kg asteroid is traveling through space at 2.5 m/s toward a spaceship. To avoid a collision, an astronaut, with the help of a backpack rocket, exerts a force of 25N on the asteroid in the opposite direction for 4 seconds. a) Find the asteroid s final speed. m/s (Hint: Assume the initial speed of the asteroid is in the positive x direction.) b) How long should she have pushed in order to just stop the asteroid? Time to stop asteroid = seconds

Suppose you are navigating a spacecraft far from other objects. The mass of the spacecraft is 2.5 x 10" kg (about 25 tons). The rocket engines are shut off, and you're coasting along with a constant velocity of km/s. As you pass the location km you briefly fire side thruster rockets, so that your spacecraft experiences a net force of N for 18 s. The ejected gases have a mass that is small compared to the mass of the spacecraft. You then continue coasting with the rocket engines turned off. Where are you an hour later? (Think about what approximations or simplifying assumptions you made in your analysis. Also think about the choice of system: what are the surroundings that exert external forces on your system?) Additional Materials eBook

During a car collision, the knee, thighbone, and hip can sustain a force no greater than 4000 NN. Forces that exceed this amount could cause dislocations or fractures. Assume that in a collision a knee stops when it hits the car's dashboard. Also assume that the mass of the body parts stopped by the knee is about 20% of the total body mass. The person with a mass of 90 kgkg is initially traveling at 18 m/sm/s (40 mi/hmi/h).  What minimum stopping time interval in needed to avoid injury to the knee?  What is the minimum stopping distance?

+ Algebraic manipulation. Two automobiles traveling at right angles to each other collide and stick together. Skid marks show the wreckage was traveling 21° from the original direction of car A. Find the original speed of car B in terms of car A's original speed (VA) if their masses are related by ßmд where ß =1.9. Fill in the missing factor below. MB UB VA Record your numerical answer below assuming three significant figures. Remember to include a "-" when necessary. HOLDe

Sam, whose mass is 74.0 kg, takes off across level snow on his jet-powered skis. The skis have a thrust of 220.0 N and a coefficient of kinetic friction wtih the snow of 0.07. Unfortunately, the skis run out of fuel after only 11.5 seconds. What Sam's top speed (in m/s) assuming that the acceleration due to gravity is 9.80 m/s2? How far (in m) has Sam traveled when he finally coasts to a stop?

A mass (m) moves along the x-axis in the positive direction with a constant speed vo. At t=0, the mass passes through the origin and is subject to the force F = -Fo(x/H)e^(-x/H) for x >0. Fo and H are both positive constants. %3D a. Calculate the minimum initial speed required for the mass to pass through the origin and never turn back in terms of the constants m, Fo, and H. b. Write the velocity of m in unit vector notation, long after it crosses the origin (t>>0) and in the the case of vo>v0min where vomin is the result in part a.

Dizzy is speeding along at 35m / s as she approaches the level section of track near the loading dock of the Whizzer roller coaster ride. A braking system abruptly brings the 335-kg car (rider mass included) to a speed of .82m / s over a distance of 5.92 meters. Determine the magnitude of the braking force (in newtons ) applied to Dizzy^ prime s car. Answer : N (round to the nearest whole number )

A 2.4 kg ball strikes a wall with a velocity of7.1 m/s to the left. The ball bounces off witha velocity of 5.9 m/s to the right.If the ball is in contact with the wall for0.23 s, what is the constant force exerted onthe ball by the wall?Answer in units of N.