A 9 kg space rock has velocity vector v = 19 i (m/s). It collides with a second 15 kg space rock, which is initially at rest. The second rock is then observed to fly away with a speed of 5 m/s in a direction that is 31 degrees below the horizontal. Calculate the final speed of the first space rock, in m/s
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(Please answer to the fourth decimal place - i.e 14.3225)
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- An airplane takes 5 hours to travel a distance of 5400 miles with the wind. The return trip takes 6 hours against the wind. Find the speed of the plane in still air and the speed of the wind.Two friends are playing billiards at an arcade center. One guy hit the cue ball to strike at another ball where it is initially at rest. After the collision caused by the ball that was at rest, the cue ball moves at 2.50 m/s along a line making an angle e=14.0° with its original direction of motion and the second balI has a speed of 1.50 m/s. Find the answer for Part a,b and c. (Note: Both balls have the same mass.) Part A: Find the angle 0 between the direction of the motion of the second ball and the original direction of motion of the cue ball. Part B: Find the cue ball's original speed? Part C: Figure out whether kinetic energy is conserved?The soccer ball shown weighs 1 lb and has a velocity of 20 fps at 40° to the horizontal prior to striking the soccer player's head. After the soccer player heads the ball, it has a velocity of 30 fps at 20° to the horizontal. If the duration of the impact is 0.15 sec, determine a. Express the initial and final velocities of the ball in Cartesian vector form b. Magnitude and direction of the average force exerted on the soccer ball by the player's head in Cartesian vector form.
- You are working part-time for the GT Sports Media Complex, editing video for the women’s softball team. In one particular clip, a GT player hits a home run over the center field fence. The ball leaves the bat at a height of 4 ft, and crosses the outfield fence (220 ft away) at a height of 10 ft. Logs of the game indicate that the pitch was clocked at 68 mph as it reached the plate. Your frame-by-frame analysis of the 30-frame-per-second video indicate that the ball spent only a single frame in contact with tha bat, and another 126 frames travelling to the outfield fence. A quick internet seach tells you that a typical college softball weighs 0.4 lb. How many pounds of average force act on the ball during ocntact with the bat?An airplane takes 5 hours to travel a distance of 4500 miles with the wind. The return trip takes 6 hours against the wind. Find the speed of the plane in still air and the speed of the wind.Problem 5: A hammer of mass m 0.46 kg is moving horizontally at a velocity of v= 5.5 mn/s when it strikes a nail and comes to rest after driving the nail a distance Ax= 1.25 cm into a board. Part (a) What is the duration of the impact, in seconds, assuming the acceleration of the hammer was constant? At= sin() cos() tan() 元| (1 ) 7 8. 6. HOME cotan() asin() acos() 4 5 atan() acotan() sinh() 1 cosh() tanh() cotanh() END O Degrees O Radians VOL BACKSPACE DEL CLEAR Submit Hint Feedback I give up! Part (b) What was the average force, in newtons, exerted on the nail?
- A rocket begins at rest in outer space. Its thrusters ignite and it accelerates at 7 m/s2 for 41 s. After that, the thrusters shut off and the rocket coasts for an additional 84 s. How far does the rocket travel during both of these time periods combined, in m? (Please answer to the fourth decimal place - i.e 14.3225)A particle's position as a function of time is given by r(t) = 6 t3 i - 13 t2 j (m). Calculate the speed of the particle at t = 2 s. (Please answer to the fourth decimal place - i.e 14.3225)An engineering student throws a calculator straight up to a COVID-quarantined friend, who is leaning out a window 5.12 m above. The friend catches the calculator 1.43 s later and immediately sanitizes it and her hands. Taking up as the positive direction, find the calculator's velocity v just before it was caught.
- he Xanthar mothership locks onto an enemy cruiser with its tractor beam (see the figure below); each ship is at rest in deep space with no propulsion following a devastating battle. The mothership is at x = 0 when its tractor beams are first engaged, a distance d = 245 xiles from the cruiser. Determine the x-position in xiles (measured from x = 0) of the two spacecraft when the tractor beam has pulled them together. Model each spacecraft as a point particle with the mothership of mass M = 180 xons and the cruiser of mass m = 10.0 xons. A circular mothership of mass M has its center at x = 0. A smaller spacecraft of mass m is to the right of the mothership at a distance d from the ship when the tractor beam is engaged.A jetliner is moving at a speed of 245 m/s. The vertical component of the plane's velocity is 40.6 m/s. Given sin e = 0.165, the angle theta is equal to: Select one: O e = 10.0° e = 9.5° e = 11.5° e = 11.0° O OAt 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.