A 2.40 x 102-g particle is released from rest at point A on the inside of a smooth hemispherical bowl of radius R = 38.5 cm (figure below). 2R/3

A 25 gram bullet is fired at 124 m/s into a 5.00 Kg block, the bullet penetrates the block and exits at 99 m/s. what is the speed of the block after the bullet goes thru it?

One hazard of space travel is debris left by previous missions. There are several thousand objects orbiting Earth that are large enough to be detected by radar, but there are far greater numbers of very small objects, such as flakes of paint. Calculate the force exerted in newtons by a 0.200 mg chip of paint that strikes a spacecraft window at a relative speed of 4.00 ✕ 103 m/s and sticks, given the collision lasts 6.00 ✕ 10−8 s. (Enter the magnitude.)

I. With external gravitational field In this second part you are asked to analyze rocket propulsion with the present of gravitational field g. This appears for instance when the rocket is launching from the surface of a planet. (1) Describes why you are not allowed to use the momentum conservation here. (2) Evaluate the speed of the rocket measure by inertial observer on the ground as a function of time v(t) if the speed of the gas propulsion with respect to the rocket is vret and the burning rate is constant constant! dm dt (3) Plot v(t) that you obtained from point (2) above, for three different values of gravitational field (assuming similar initial mass), which is: Imoon = 1.62 m/s? • Gearth = 9.81 m/s? Ijupiter = 24.79 m/s? in a single plot, if the burn dm ate is constant = 1500 kg/s. Analyze your result and dt describes how the speed increases for each situation! 20:18 Ai 11/03/2022

Apollo and Artemis are playing on the teeter‑totter in their school's playground. They both have approximately the same mass. They are sitting on either side of the teeter‑totter at about the same distance from the teeter‑totter's pivot point. The teeter‑totter is going up and down and they are having a great time! Mercury, the new kid in school, wanders by. Since they are very friendly kids, Apollo and Artemis ask Mercury to join them. Mercury joins Apollo on his side of the teeter‑totter and sits next to him. What should Artemis do in order to keep the fun going? 1)Move farther from the teeter‑totter's pivot point in order to balance out the new smaller torque provided by Mercury and Apollo. 2)Move closer to the teeter‑totter's pivot point in order to balance out the new larger torque provided by Mercury and Apollo. 3)Move farther from the teeter‑totter's pivot point in order to balance out the new larger torque provided by Mercury and Apollo. 4)Move closer to the…

Our brave astronaut Ms. Rose Noneck is at rest spacewalking 9.3 m away from her spaceship when her jetpack runs out of electricity (powered by TCC?). And worst – she is down to 60 seconds of oxygen left – there's plenty in her spaceship as well as her delicious lunch of baba ganoush. She remembers Prof. P's class and throws her 23.6 kg jetpack in the opposite direction of her spaceship at 1.4 m/s. Her mass is 55 kg. Will she make it back to her spaceship before she runs out of air? Convince me with numbers - tell me how long in seconds it takes for her to get back. Will we be seeing her in Exam 4? Or is it the end for her?

5) Two neutron stars are separated by a distance of 2.98x10^(10)m. Both have a mass of 3.17x10^(30)kg and a radius of 253000m. They are initially at relative rest. a) What is the speed of both when the distance between them is half the initial value? in m/s b) What is the speed of both when they are about to collide? in m/s

A 20 g glob of clay traveling east at 3.0 m/s collides with 30 g glob of clay traveling north at 2.0 m/s.  Determine the speed of travel of the resulting 50 g glob of clay.

A 330.0 g bird flying along at 8.10 m/s sees a 17.0 g insect heading straight toward it with a speed of 26.0 m/s. The bird opens its mouth wide and enjoys a nice lunch. What is the bird's speed (in m/s) immediately after swallowing?

In a very busy off-campus eatery one chef sends a 221 g broccoli-tomato-pickle-onion-mushroom pizza sliding down the counter from left to right at 1.59 m/s. Almost simultaneously, the other chef launches a 315 g veggieburger (with everything, but hold the horseradish) along the same counter from right to left at 2.27 m/s. The two delicacies collide head on at the given speeds. The counter is practically friction free due to accumulated grease. The two delicacies merge into a single, unbelievably savory serving.   In what direction does the merged meal move, if it moves at all? a. to the right b. to the left  c. does not move   At what speed does it move in m/s? (positive number).