A plane is initially at rest on the ground.  The minimum speed for the plane to take off is 50 meters/sec and the runway is 2 km long.  What should be the minimum acceleration of the plane so that it has a successful take off?

You place a crate of mass 47.7 kg on a frictionless 3.61-meter-long incline. You release the crate from rest, and it begins to slide down, eventually reaching the bottom 1.15 s after you released it. What is the angle of the incline? 1 50.7 degrees 76.1 degrees 3. 42.3 degrees 4 33.8 degrees

A woman pulls a cloth out from under a 200 g bowl sitting on a table. The bowl is 30.0 cm from the far edge of the cloth, and the cloth exerts a friction force of 0.125 N on the bowl. Assume the cloth is pulled with a constant horizontal acceleration of 2.80 m/s2. What distance (in m) does the bowl travel relative to the top of the table? (Assume the cloth moves in the +x-direction and notice that it moves more than 30.0 cm relative to the top of the table.)

A spacecraft flying horizontally over the surface of the moon at an elevation of 1500m with a speed of 350m/s, drops a package with a mass of 1200kg to astronauts on the surface. Use gm= 1.6m/s2 for the acceleration due to gravity on the Moon. a)How long does it take the package to hit the surface after it is dropped? b)How far ahead (distance) of the package’s landing spot should the package be released? c)What is the velocity of the package just before it hits the surface? d)What is the magnitude of the velocity of the package just before it hits the surface of the Moon?

I've been moonwalking for hours, and I'm getting tired. Explain why, as I come to a stop, my velocity is increasing while my speed is decreasing.

A 5-kg block is set into motion up an inclined plane (30°) with an initial speed of 8.0 m/s. There is friction between the block and the plane. The block comes to rest after traveling 3.0 m along the plane. Define the positive x-direction to be down the ramp.

A ball of mass 1.6 kg and a diameter of 41.1 cm is attached to a string of length 1.1 m. It moves in a circular path at constant speed, 4.5 m above the ground. The string makes a constant angle of 42° with respect to vertical. m (a) What is the speed of the ball? (b) What is the tension in the string?

Two snowy peaks are at heights H = 800 m and h = 740 m above the valley between them. A ski run extends between the peaks, with a total length of 2.91 km and an average slope of 0 = 32° (see the figure). (a) A skier starts from rest at the top of the higher peak. At what speed will he arrive at the top of the lower peak if he coasts without using ski poles? Ignore friction. (b) Approximately what coefficient of kinetic friction between snow and skis would make him stop just at the top of the lower peak? (a) Number i (b) Number i h 0 Units Units 0 H ←

At a particular instant, a hot air balloon is 48.7m above a horizontal field and descending at a rate of 2.67m/s. At this instant, a girl who is riding in the gondola of the balloon throws a ball with a speed of 14.7m/s with a direction that is horizontal in the frame of the gondola. When the balloon lands on the ground, how far, in meters, is she from where the ball landed? Neglect air resistance.

A golfer hits a shot to a green that is elevated 2.50 m above the point where the ball is struck. The ball leaves the club at a speed of 19.5 m/s at an angle of 40.0° above the horizontal. It rises to its maximum height and then falls down to the green. Ignoring air resistance, find the speed of the ball just before it lands. V = i