The particle shown below is at rest, where F₁ = 6.95 N, and F₂ = 10.4 N. Find the magnitude and direction of F. magnitude direction F₁ 30.0° 45.0° counterclockwise from the +x-axis F x
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- What is the inclination of projectile if the maximum height attained is equal to corresponding maximum horizontal range?A. 75.96 DegB. 65.97 DegC. 57.96 DegD. 96.75 DegE. 56.96 DegConsider the motion of a bullet that is fired from a rifle 3 m above the ground in a northeast direction. The initial velocity of the bullet is150,150,0. Assume the x-axis points east, the y-axis points north, the positive z-axis is vertical (opposite g), the ground is horizontal, and only the gravitational force acts on the object. a. Find the velocity and position vectors for t≥0. b. Make a sketch of the trajectory. c. Determine the time of flight and range of the bullet. d. Determine the maximum height of the bullet.A military helicopter on a training mission is flying horizontally at a speed of 90.0 m/sm/s when it accidentally drops a bomb (fortunately, not armed) at an elevation of 360 mm . You can ignore air resistance. Please answer D and E A) How much time is required for the bomb to reach the earth? 8.5715 s B) How far does it travel horizontally while falling? 771.43 m. C)Find the horizontal component of the bomb's velocity just before it strikes the earth. 90 m/s. D)Find the vertical component of the bomb's velocity just before it strikes the earth. E)If the velocity of the helicopter remains constant, where is the helicopter when the bomb hits the ground?
- Consider a projectile launched from the ground at 18.00 m/s and an initial angle of 57 degrees. 1.) Calculate the x-component of the initial velocity. Record your answer in units of m/s to 4 decimals. 2.) Calculate the y-component of the initial velocity. Record your answer in units of m/s to 4 decimals. 3.) If there is no air resistance, what is the y-component of the acceleration? Note that g=9.81g=9.81 m/s2. a.) +g+g b.)-g−g c.) Cannot say for sure because it is constantly changing. 4.) If there is no air resistance, what can you say about the x-component of the acceleration? a.) a_x = 0ax=0 b.) a_x > 0ax>0 c.) a_x < 0ax<0 5.) Solve this equation for time. One of the solutions is t=0t=0 s and the other is how how long the projectile stays in the air. Report your answer to 4 decimals. The total time can be found from the equation y=y_i+v_{iy}t+\frac{1}{2}a_y t^2y=yi+viyt+21ayt2 Using y_i = 0yi=0 & y = 0y=0, this simplifies to:…A javelin thrower standing at rest holds the center of the javelin behind her head, then accelerates it through a distance of 70 cm as she throws. She releases the javelin 2.0 m above the ground traveling at an angle of 30 degrees above the horizontal. Top-rated javelin throwers do throw at about a 30 degree angle, not the 45 degree you might have expected, because the biomechanics of the arm allow them to throw the javelin much faster at 30 degrees than they would be able to at 45 degrees . In this throw, the javelin hits the ground 64 m away. What was the acceleration of the javelin during the throw? Assume that it has a constant acceleration.A javelin thrower standing at rest holds the center of the javelin behind her head, then accelerates it through a distance of 70 cm as she throws. She releases the javelin 2.0 m above the ground traveling at an angle of 30 degrees above the horizontal. Top-rated javelin throwers do throw at about a 30 degree angle, not the 45 degree you might have expected, because the biomechanics of the arm allow them to throw the javelin much faster at 30 degree than they would be able to at 45 degree. In this throw, the javelin hits the ground 59 m away.
- Which of the following will not affect the trajectory of an idealized projectile? a. initial angle b. initial speed c.Temperature d. gravitational accelerationConsider the motion of a soccer ball that is kicked from the point x0,y0=⟨0,0⟩ with an initial velocity of u0,v0=⟨35,9⟩ m/s.Assume the x-axis is horizontal, the positive y-axis is vertical (opposite g), the ground is horizontal, and only the gravitational force acts on the object. a. Find the velocity and position vectors for t≥0. b. Graph the trajectory. c. Determine the time of flight and range of the soccer ball. d. Determine the maximum height of the soccer ball. *Please find a,b,c, and dThe Vomit Comet. In microgravity astronaut training and equipment testing, NASA flies a KC135A aircraft along a parabolic flight path. As shown in Figure P3.45, the aircraft climbs from 24 000 ft to 31 000 ft, where it enters a parabolic path with a velocity of 143 m/s nose high at 45.0 and exits with velocity 143 m/s at 45.0 nose low. During this portion of the flight, the aircraft and objects inside its padded cabin are in free fall; astronauts and equipment float freely as if there were no gravity. What are the aircrafts (a) speed and (b) altitude at the top of the maneuver? (c) What is the time interval spent in microgravity?
- A skier leaves the ramp of a ski jump with a velocity of v = 10.0 m/s at = 15.0 above the horizontal as shown in Figure P4.49 (page 94). The slope where she will land is inclined downward at = 50.0, and air resistance is negligible. Find (a) the distance from the end of the ramp to where the jumper lands and (b) her velocity components just before the landing. (c) Explain how you think the results might be affected if air resistance were included. Figure P4.49A sailor drops a wrench from the top of a sailboats vertical mast while the boat is moving rapidly and steadily straight forward. Where will the wrench hit the deck? (a) ahead of the base of the mast (b) at the base of the mast (c) behind the base of the mast (d) on the windward side of the base of the mast (e) None of the choices (a) through (d) is true.In an assembly operation illustrated in Figure P3.30. a robot moves an object first straight upward and then also to the east, around an arc forming one-quarter of a circle of radius 4.80 cm that lies in an eastwest vertical plane. The robot then moves the object upward and to the north, through one-quarter of a circle of radius 3.70 cm that lies in a northsouth vertical plane. Find (a) the magnitude of the total displacement of the object and (b) the angle the total displacement makes with the vertical. Figure P3.30