QUESTION 4: The cart and package have a mass of 20 kg and 5 kg, respectively. If the cart has a smooth surface and it is initially at rest, while the velocity of the package is as shown, determine the final common velocity of the cart and package after the impact. 10 m/s
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- Sphere m1 with a mass of 1.0 kg collides with m2, which also has a mass of 1.0 kg, in an elastic collision. If v2f= 15 m/s and θ2= 40°, determine v1i. (Hint: An elastic collision requires that the after-collision angle between the two velocities must be 90°.)Anthony is just relaxing since its summer vacation and actually put on some weight too and is now 90 kg. He decides to hit up Lake Thunderbird in his 40 kg boat and chill. Anthony reaches the center of the lake and stops moving and then decides to start fishing. He starts to fish but accidentally threw the 10kg pole at 5 m/s horizontally away from him. Suddenly, the boat starts moving. What is the velocity (magnitude and direction) of Anthony and the boat if the water really doesn’t have much friction with the boat?The cue ball A is given an initial velocity (VA)₁ = 5 m/s. If it - makes a direct collision with ball B (e = 0.73) determine the angle just after ball B rebounds from the cushion at C (e' = 0.6). Each ball has a mass of 0.4 kg. Neglect the size of each ball. Give your answer in degrees with one decimal place of precision. (VA)₁ = 5 m/s B 30°
- When there is motion is both directions, state which direction is positive at the START of the problem. For the impulse-momentum and the conservation of momentum problems: Plug your GIVEN VALUES into the equation FIRST then do the algebra. Use the following equations: F t = m vf -m vi m1 vi1 + m2 vi2 = m1 vf1 + m2 vf2 m1 vi1 + m2 vi2 = (m1 + m2) vf (m1 + m2) Vi = m1 vf1 + m2 vf2 3.) A 0.196 N bullet strikes a 10.00 kg block of wood, which is initally at rest. The bullet becomes lodged in the block of wood and afterwards both are traveling at 1.25 m/s. a. ) what was the velocity of the bullet before striking the block of wood?An object of mass 3M, moving in the +x direction at speed Up. breaks into two pieces of mass M and 2M as shown in V, = ? 2M the figure. 3M If 0, = 65.0" and 0, = 25.0. determine the final velocities v %3D and vz of the resulting pieces in terms of tg. 1.1 Incorrect 1.49 IncorrectA car is stopped for a traffic signal. When the light turns green, the car accelerates, increasing its speed from 0 to 5.40 m/s in 0.882 s. What is the magnitude of the linear impulse experienced by a 72.0-kg passenger in the car during the time the car accelerates? What is the magnitude of the average total force experienced by a 72.0-kg passenger in the car during the time the car accelerates?
- A 200 kg cannon rests on a smooth surface. It fires a 10 kg cannonball in horizontal direction. The cannonball moves with a velocity of 200 m/s measured relative to the cannon right after the firing. Determine the speed of the cannon after the fire.A 0.250 kg toy car moving with a speed of 0.860 m/s collides with a wall. The figure shows the force exerted on the car by the wall over the course of the collision. What is the magnitude of the velocity, or final speed, of the car after the collision?Sphere m1 with a mass of 1.0 kg collides with m2, which also has a mass of 1.0 kg, in an elastic collision. If v2f= 15 m/s and θ2= 40°, determine v1i. (Hint: An elastic collision requires that the after-collision angle between the two velocities must be 90°.)
- When there is motion is both directions, state which direction is positive at the START of the problem. For the impulse-momentum and the conservation of momentum problems: Plug your GIVEN VALUES into the equation FIRST then do the algebra. Use the following equations: F t = m vf -m vi m1 vi1 + m2 vi2 = m1 vf1 + m2 vf2 m1 vi1 + m2 vi2 = (m1 + m2) vf (m1 + m2) Vi = m1 vf1 + m2 vf2 2. ) The baseball is traveling at 90 mph to the left towards the batter. The batter strikes the 0.05 slug baseball with a force of 50.00 lbs. The bat is in contact with the softball for 0.25 seconds. Assume that the baseball is traveling directly in the opposite direction after being hit with the bat. a. what is the velocity of the baseball after being hit by the batter? show all unit conversions-if any, step by step.G12 PhysicsAs shown in the figure below, two blocks (m1 and m2) are each released from rest at a height of h = 4.63 m on a frictionless track and when they meet on the horizontal section of the track they undergo an elastic collision. If m1 = 2.50 kg and m2 = 4.25 kg, determine the maximum heights (in m) to which they rise after the collision. Use the coordinate system shown in the figure. y1f=____m y2f=____m