In a chamber moving with acceleration a= 3 (m/s²) on a horizontal frictionless plane, two disks are thrown towards each other simultaneously on the ground with velocities vz=0.4 (m/s) and vz=0.8 (m/s). The velocities of the discs are relative to the room and the room floor is frictionless. After how many seconds do the two balls meet? 4 (m)
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- The horizontal distance to collision is 8242.96 m. The time of collision is 10.487 sec. What is A in m/s^2Some cats can be trained to jump from one location to another and perform other tricks. Kit the cat is going to jump through a hoop. He begins on a wicker cabinet at a height of 1.769 m above the floor and jumps through the center of a vertical hoop, reaching a peak height 3.135 m above the floor. (Assume the center of the hoop is at the peak height of the jump. Assume that +x axis is in the direction of the hoop from the cabinet and +y axis is up. Assume g = 9.81 m/s².) (a) With what initial velocity did Kit leave the cabinet if the hoop is at a horizontal distance of 1.570 m from the cabinet? (Express your answer in vector form. Give your answer to at least two decimal places for each vector component.) Vo m/s (b) If Kit lands on a bed at a horizontal distance of 3.584 m from the cabinet, how high above the ground is the bed? m Need Help? Read ItA 0.50 kg football is kicked from ground level with an initial velocity of 13.0 m/s [F 37° U] (37° above the horizontal axis). It is caught at a height of 2.0 m. If you assume that there is no interference and that the ball is on the way back down after having reached maximum height, how far will the ball travel horizontally before it is caught? 1.
- 45 40 35 30 Figure 1. The red points from 1 to 15 show the successive locations of a puck at times t =0s, 1/6 s, 2/6 s, 3/6 s, 4/6 s, etc. Connecting these points with the blue curve shows the puck's trajectory. The blue coordinate system is tilted and displaced with respect to the black coordinate system. 25 20 15 In Figure 1, a puck starts at the red point labelled 1 and follows the trajectory shown by the blue curve connecting points 1 to 15. 10 s 10 15 20 25 le 35 40 45 s0 s5 Using the blue coordinate system, what is the x-coordinate of red point 1? X = || cm sin() cos() tan() 7 8 9 HOME cotan() asin() acos() E 1 A 4 5 6. atan() acotan() sinh() 1 3 cosh() tanh() cotanh() END O Degrees O Radians VOl BACKSPACE DEL CLEAROn planet #3, you fire a projectile horizontally from the edge of a vertical cliff 21.5 m above the ground, with an initial speed of 40.1 m/s. The projectile lands 36.9 m away from the base of the cliff. What is the value of g for planet #3? 21.22 m/s^2 50.78 m/s^2 25.39 m/s^2 128.36 m/s^2An electronic is projected as shown in the figure with an initial speed of Vo = 5.83x106 m / s and at an angle of θ = 39.0, E = 1870 N / C (directed upwards), d = 1.97 cm and L = 6.20 cm. A) Does the upper or lower plate hit? Hint: determine the maximum height it reaches, if it is> d, it hits the upper one, if it is <d, it hits the lower one b) At what horizontal distance from the launch point does it hit the plate?
- Two identical objects with the same initial speed collide and stick together. If the composite object moves with half the initial speed of either object, what was the angle between the initial velocities? 20° O 30° 450 60° 120°You built a pinball machine that has a banked circular track with radius 0.34 m. The ball shooter launches the ball directly into this circular track before the ball enters into the game. You fire pin balls at a constant speed into the track and adjust the banking angle until it works. The banking angle is 21 degrees. Assume your pin ball machine is on a horizontal plane, how fast is the ball launched into the track, in m/s? Hint: I have a video on this problem about swing pendulum but the results are very similar, except a string length was given instead of path radius and tension was present instead of normal force. Assume friction is negligible.For a forensics experiment, a student decides to measure the muzzle velocity of the pellets from his BB gun. She points the gun horizontally. On a vertical wall a distance 47.3 m away from the gun, a target is placed. The shots hit the target a vertical distance 0.10 m below the gun's barrel. What is the initial speed of the pellets? Your Answer: units Answer
- We know that the moon Callisto revolves around Jupiter during a period of 17.0 days.17.0 days. The average distance from the center of Jupiter to the center of Callisto is 1.95×109 m.1.95×109 m. What is the acceleration ?a of Callisto due to its motion around Jupiter?On planet #3, you fire a projectile horizontally from the edge of a vertical cliff 76.0 m above the ground, with an initial speed of 31.2 m/s. The projectile lands 71.5 m away from the base of the cliff. What is the value of g for planet #3? 848.50 m/s^2 28.94 m/s^2 14.47 m/s^2 12.05 m/s^26. A bullet traveling horizontally at a speed of 395 m/s hits a board perpendicular to the surface, passes through it, and emerges on the other side at a speed of 175 m/s. If the board is 3.30 cm thick, how long does the bullet take to pass through it? 0 ssY 60 s ssf60 ssf6 60 ssf60 s