Determine the velocity of the ball at point A  Determine how far the ball will land from the edge of the table (x)

A particle P of mass m = 3 kg arrives at point O with a horizontal velocity vo and starts rolling down a circle with radius R = 3.5 m. The particle is attached to the point O by means of a linear spring of stiffness k = 60 N/m that is unstretched when the particle is at O. Assume that during the motion of P along the circle, the spring follows the circle. Let N = {î, îy} be a fixed reference frame as shown in the figure and let B = {b, by} be a reference frame attached to P so that ba is tangent to the circular path and by is perpendicular to the circular path. For convenience, take g = 10 m/s² in this question. ny nx IP

Q3. A body is released from a great height falls freely towards earth. Another body is released from the same height exactly two second later. Find the separation between both bodies after 3 second of the release of the second body.

can you pls also draw a picture/representation of the scenario described? Thanks so much!

A marksman fires a practice round from A toward a target B. If the target diameter is 180 mm and the target center is at the same altitude as the end of the rifle barrel, determine the range of "shallow" launch angles for which the round will strike the target. Neglect aerodynamic drag and assume that the round is directed along the vertical centerline of the target. (Note: The word "shallow" indicates a low-flying trajectory for the round.) A 950 m/s Answers: i 0.393 0 1270 m °≤e≤ i 0.402 B O

please answer the question below and include explination. many thanks

A projectile is shot directly away from Earth's surface. Neglect the rotation of the Earth. What multiple of Earth's radius RE gives the radial distance (from the Earth's center) the projectile reaches if (a) its initial speed is 0.325 of the escape speed from Earth and (b) its initial kinetic energy is 0.325 of the kinetic energy required to escape Earth? (Give your answers as unitless numbers.) (c) What is the least initial mechanical energy required at launch if the projectile is to escape Earth? (a) Number i (b) Number i (c) Number i Units Units Units ✪ î

A marksman fires a practice round from A toward a target B. If the target diameter is 160 mm and the target center is at the same altitude as the end of the rifle barrel, determine the range of "shallow" launch angles for which the round will strike the target. Neglect aerodynamic drag and assume that the round is directed along the vertical centerline of the target. (Note: The word "shallow" indicates a low-flying trajectory for the round.) Answers: A i 950 m/s 0 1270 m °≤0≤ i B

A marksman fires a practice round from A toward a target B. If the target diameter is 170 mm and the target center is at the same altitude as the end of the rifle barrel, determine the range of "shallow" launch angles for which the round will strike the target. Neglect aerodynamic drag and assume that the round is directed along the vertical centerline of the target. (Note: The word "shallow" indicates a low-flying trajectory for the round.) A Answers: i 890 m/s 0.5425 0 1540 m °≤0s i 0.5494 B

2. Now consider the pulley problem shown below. In this problem, both blocks have mass m m m (a) At the instant shown, the block on the horizontal surface is moving to the right with speed v. At this instant, what is the velocity of the other block? (b) What is the acceleration of the block on the right?