If points a and b are connected by a wire with negligible resistance, find the magnitude of the current in the 12.0 V battery.

Consider the two pucks shown in the figure. As they move towards each other, the momentum of each puck is equal in magnitude and opposite in direction. Given that v kinetic energy of the system is converted to internal energy? 30.0° 130.0 = green 11.0 m/s, and m blue is 25.0% greater than m 'green' what are the final speeds of each puck (in m/s), if 1½-½ t the

Consider the blocks on the curved ramp as seen in the figure. The blocks have masses m₁ = 2.00 kg and m₂ = 3.60 kg, and are initially at rest. The blocks are allowed to slide down the ramp and they then undergo a head-on, elastic collision on the flat portion. Determine the heights (in m) to which m₁ and m2 rise on the curved portion of the ramp after the collision. Assume the ramp is frictionless, and h 4.40 m. m2 = m₁ m hm1 hm2 m i

A 3.04-kg steel ball strikes a massive wall at 10.0 m/s at an angle of 0 = 60.0° with the plane of the wall. It bounces off the wall with the same speed and angle (see the figure below). If the ball is in contact with the wall for 0.234 s, what is the average force exerted by the wall on the ball? magnitude direction ---Select--- ✓ N x

You are in the early stages of an internship at NASA. Your supervisor has asked you to analyze emergency procedures for extravehicular activity (EVA), when the astronauts leave the International Space Station (ISS) to do repairs to its exterior or perform other tasks. In particular, the scenario you are studying is a failure of the manned-maneuvering unit (MMU), which is a nitrogen-propelled backpack that attaches to the astronaut's primary life support system (PLSS). In this scenario, the astronaut is floating directly away from the ISS and cannot use the failed MMU to get back. Therefore, the emergency plan is to take off the MMU and throw it in a direction directly away from the ISS, an action that will hopefully cause the astronaut to reverse direction and float back to the station. You have the following mass data provided to you: astronaut: 78.1 kg, spacesuit: 36.8 kg, MMU: 115 kg, PLSS: 145 kg. Based on tests performed by astronauts floating "weightless" inside the ISS, the most…

Three carts of masses m₁ = 4.50 kg, m₂ = 10.50 kg, and m3 = 3.00 kg move on a frictionless, horizontal track with speeds of V1 v1 13 m 12 mq m3 (a) Find the final velocity of the train of three carts. magnitude direction m/s |---Select--- ☑ (b) Does your answer require that all the carts collide and stick together at the same moment? ○ Yes Ο Νο = 6.00 m/s to the right, v₂ = 3.00 m/s to the right, and V3 = 6.00 m/s to the left, as shown below. Velcro couplers make the carts stick together after colliding.

A girl launches a toy rocket from the ground. The engine experiences an average thrust of 5.26 N. The mass of the engine plus fuel before liftoff is 25.4 g, which includes fuel mass of 12.7 g. The engine fires for a total of 1.90 s. (Assume all the fuel is consumed.) (a) Calculate the average exhaust speed of the engine (in m/s). m/s (b) This engine is positioned in a rocket body of mass 70.0 g. What is the magnitude of the final velocity of the rocket (in m/s) if it were to be fired from rest in outer space with the same amount of fuel? Assume the fuel burns at a constant rate. m/s

Two objects of masses m₁ 0.48 kg and m₂ = 0.86 kg are placed on a horizontal frictionless surface and a compressed spring of force constant k 260 N/m is placed between them as in figure (a). Neglect the mass of the spring. The spring is not attached to either object and is compressed a distance of 9.4 cm. If the objects are released from rest, find the final velocity of each object as shown in figure (b). (Let the positive direction be to the right. Indicate the direction with the sign of your answer.) m/s V1 V2= m1 m/s k m2 a す。 k m2 m1 b

Sand from a stationary hopper falls on a moving conveyor belt at the rate of 4.90 kg/s as shown in the figure below. The conveyor belt is supported by frictionless rollers and moves at a constant speed of v = 0.710 m/s under the action of a constant horizontal external force F by the motor that drives the belt. Fext i (a) Find the sand's rate of change of momentum in the horizontal direction. (b) Find the force of friction exerted by the belt on the sand. (c) Find the external force ext' (d) Find the work done by F in 1 s. ext (e) Find the kinetic energy acquired by the falling sand each second due to the change in its horizontal motion. ext supplied