A cannon on Earth (located at the origin) launches a projectile, of mass m, horizontally at height y = 0 m with speed to, as shown in the figure below:
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- A ball with mass 0.8 kg is thrown southward into the air with a speed of 30 m/s at an angle of 30oto the ground. A west wind applies a steady force of 4 N to the ball in an easterly direction. Where does the ball land and with whatspeed?A 1500 kg rocket is tobe launched with an initial upwardspeed of 50.0 m/s. In order to assistits engines, the engineers will startit from rest on a ramp that rises 53°above the horizontal (Fig.).At the bottom, the ramp turnsupward and launches the rocketvertically. The engines provide aconstant forward thrust of 2000 N,and friction with the ramp surfaceis a constant 500 N. How far fromthe base of the ramp should therocket start, as measured along the surface of the ramp?Two rods, with masses MA and MB having a coefficient of restitution, e, move along a common line on a surface, figure 2. a) Find the general expression for the velocities of the two rods after impact. b) IfmA =2kg,mB =1kg,vB=3m/s,ande=0.65,find the value of the initial velocity vA of rod A for it to be at rest after the impact and the final velocity v’B of rod B. c) Find the magnitude of the impulse for the condition in part b. d) Find the percent decrease in kinetic energy which corresponds to the impact in part b.
- The masses m1and m2shown in the figure are tied to eachother by a rope over a frictionless pulley. While the mass m1rotates in the horizontal plane, the mass m2staysat rest. Neglect the mass of the pulley and the rope. (m1= 4 kg, m2= 5 kg, L = 2 m)a) Find the tension in the rope.b) Find angle c) Find the velocity of the mass m1.An iceboat is at rest on a frictionless horizontal surface.Due to the blowing wind, 4.0 s after the iceboat is released, it is movingto the right at 6.0 m/s (about 22 km/h, or 13 mi/h). What constanthorizontal force FW does the wind exert on the iceboat? The combinedmass of iceboat and rider is 200 kg.. In the movie The Rocketeer, a teenager discovers a jet-powered backpack in an old barn. The backpack allows him to fly at incrediblespeeds. In one scene, however, he uses the backpack to rapidly accelerate an old pickup truck that is being chased by “bad guys.” Hedoes this by bracing his arms against the cab of the pickup and firing the backpack, giving the truck the acceleration of a drag racer. Isthe physics of this scene “Good,” “Bad,” or “Ugly”? Explain.
- Consider the situation where a lunar lander is making a descent to a base located on the surface of the Moon. At first it is undergoing a slow controlled descent due to the retro-thrust of its descent engine but when it is 2.5 m above the surface of the moon, with a downward speed of 0.5 m/ s, the engine is cut off... Calculate the speed of the lander just as it touches the surface of the moon (use fact that g 1.6 m/s² on the moon). =calculate the velocity a spherical rain drop would achieve falling (taking downward as positive) from 4.4 km in the following situations.h = 4.4 kml = 4.2 mmd = 1.15 kg/m3 Calculate the velocity with air drag in m/s. Take the size across of the drop to be 4.2 mm, the density of air to be 1.15 kg/m3, th density of water to be 1000 kg/m3, the surface area to be πr2, and the drag coefficient to be 1.0.A bird cage, with a parrot inside, hangs from a scale. The parrotdecides to hop to a higher perch. What can you say about thereading on the scale (a) when the parrot jumps, (b) when theparrot is in the air, and (c) when the parrot lands on the secondperch? Assume that the scale responds rapidly so that it givesan accurate reading at all times. Draw and Explains.
- Akagi was a Japanese aircraft carrier used during World War II. The upper flight deck sloped slightly fromamidships toward the bow and toward the stern to assist landings and takeoffs for the underpowered aircraft of that time. Assumea 5 m drop from amidship to the bow. Assume the Japanese Nakajima Ki‐84 plane could takeoff in a length of about 58 m at a speedof 31 m/s. The mass of the plane is 3600 kg fully loaded with gasoline. What force is the engine required to produce for takeoff?Ifthe deck were not sloped, what force would the engines require for takeoff?Ngelecting air resistance, for a projectile in the air that was launched at a non-zero angle, does it feel any force the x direction?Your forehead can withstand a force of about 6.0 kN before fracturing, while your cheekbone can only withstand about 1.3 kN. If a 140g baseball strikes your head at 30 m/s and stops in 0.0015 seconds, what is the magnitude of the balls deceleration? Express your answer in meters per second squared