Identical twins, each with mass 52.5 kg, are on ice skates and at rest on a frozen lake, which may be taken as frictionless. Twin A is carrying a backpack of mass 12.0 kg. She throws it horizontally at 2.55 m/s to Twin B. Neglecting any gravity effects, what are the subsequent speeds of Twin A and Twin B?

A mine car, whose mass is m1 = 441 kg, rolls at a speed of v1 = 0.517 m/s on a horizontal track, as the drawing below shows. An m2 = 164 kg chunk of coal has a speed of v2 = 0.815 m/s when it leaves the chute. Assume θ = 27.5°. Determine the velocity of the car/coal system after the coal has come to rest in the car.

A 10-m-long glider with a mass of 680 kg (including the passengers) is gliding horizontally through the air at 20 m/s when a 60 kg skydiver drops out by releasing his grip on the glider. What is the glider's speed just after the skydiver lets go?

A 719-N man stands in the middle of a frozen pond of radius 4.0 m. He is unable to get to the other side because of a lack of friction between his shoes and the ice. To overcome this difficulty, he throws his 1.2-kg physics textbook horizontally toward the north shore at a speed of 4.0 m/s. How long does it take him to reach the south shore?

The carbon isotope 14C is used for carbon dating of archaeological artefacts. 14C decays to 14N by a process known as beta decay, in which the nucleus emits an electron (also known as a beta particle) and a subatomic particle called a neutrino. In one such decay, the electron and the neutrino are emitted in opposite directions to each other. The electron has a speed of 5 x 10 m/s and the neutrino has a momentum of 5 x 1024 kg m/s. n as What is the recoil speed of the resulting 14N nucleus? (Take the mass of the carbon-14 and nitrogen-14 nuclei to be 2.34 x 10 26 kg and the mass of the electron to be 9.11 x 1031 kg. If you were aware of such things and concerned, please ignore relativistic effects.)

The carbon isotope 14C is used for carbon dating of archaeological artefacts. 14C decays to 14N by a process known as beta decay, in which the nucleus emits an electron (also known as a beta particle) and a subatomic particle called a neutrino. In one such decay, the electron and the neutrino are emitted in opposite directions to each other. The electron has a speed of 4 x 107 m/s and the neutrino has a momentum of 8 × 10-24 kg m/s. What is the recoil speed (in m/s) of the resulting 14N nucleus? (Take the mass of the carbon-14 and nitrogen-14 nuclei to be 2.34 x 10-26 kg and the mass of the electron to be 9.11 x 1031 kg. If you were aware of such things and concerned, please ignore relativistic effects.)

Figure 1 The positive direction 1i 2i m1 m2 "The lab frame:" This track is not moving.

A tennis ball has a mass of 0.055 kg. A professional tennis player hits the ball hard enough to give it a speed of 52 m/s (about 117 miles per hour.) The ball moves toward the left, hits a wall and bounces straight back to the right with almost the same speed (52 m/s). As indicated in the diagram below, high-speed photography shows that the ball is crushed about d = 2.4 cm at the instant when its speed is momentarily zero, before rebounding. D Making the very rough approximation that the large force that the wall exerts on the ball is approximately constant during contact, determine the approximate magnitude of this force.

Kyle, a 80.0 kg football player, leaps straight up into the air (with no horizontal velocity) to catch a pass. He catches the 0.430 kg ball precisely at the peak of his jump, when he is 0.437 m off the ground. He hits the ground 0.0358 m away from where he leapt. If the ball was moving horizontally when it was caught, how fast u was the ball traveling? Vs m/s

Kyle, a 95.0 kg football player, leaps straight up into the air (with no horizontal velocity) to catch a pass. He catches the 0.430 kg ball precisely at the peak of his jump, when he is 0.538 meters off the ground. He hits the ground 0.0333 metersaway from where he leapt. If the ball was moving horizontally when it was caught, how fast was the ball traveling?   ball's speed: ? m/s