a 75-kg fisherman in a 125-kg boat throws a package of mass m = 15 kg horizontally toward the right with a speed of vi =4.5 m/s neglecting water resistance, and assuming the boat is at rest before the package is thrown, find the velocity of the boat after the package is thrown.

Ricardo, of mass 80 kg, and Carmelita, who is lighter, are enjoying Lake Merced at dusk in a 26 kg canoe. When the canoe is at rest in the placid water, they exchange seats, which are 3.0 m apart and symmetrically located with respect to the canoe's center. Ricardo notices that the canoe moves 47 cm horizontally relative to a pier post during the exchange and calculates Carmelita's mass. What is it?

A bul‎let of mass m=7.500 [g] is fir‎ed horizon‎tally with a sp‎eed v=549 [m/s] into the bo‎b of a balli‎sticpendu‎lum of mass M=1.20 [kg]. Find the maxi‎mum heig‎ht h attained by the b‎o‎b if the bu‎llet passesth‎rough the bob and emerges with speed v/2.

An unfortunate astronaut loses his grip during a spacewalk and finds himself floating away from the space station, carrying only a rope and a bag of tools. First he tries to throw a rope to his fellow astronaut, but the rope is too short. In a last ditch effort, the astronaut throws his bag of tools in the direction of his motion, away from the space station. The astronaut has a mass of ma = 102 kg and the bag of tools has a mass of mp = 19.0 kg. If the astronaut is moving away from the space station at Vj = 2.10 m/s initially, what is the minimum final speed vp.f of the bag of tools with respect to the space station that will keep the astronaut from drifting away forever? Ub.f = m/s

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Romeo (75.0 kg) entertains Juliet (57.0 kg) by playing his guitar from the rear of their boat at rest in still water, 2.70 m away from Juliet, who is in the front of the boat. After the serenade, Juliet carefully moves to the rear of the boat (away from shore) to plant a kiss on Romeo's cheek. (a) How far (in m) does the 85.0 kg boat move toward the shore it is facing? (b) What If? If the lovers both walk toward each other and meet at the center of the boat, how far (in m) and in what direction does the boat now move? magnitude direction |---Select--

An acrobatic buccaneer swings from one rope to another in the rigging of a pirate ship. As she grasps the rope, her mass is m, 63.5 kg; knots on the rope make the rope's effective mass m, 1.50 kg. From the height %D she grabs the rope, she swings up a further distance of 1.50 m. Assuming that her collision with the rope is perfectly inelastic, answer the following questions: {Note: Treat as a ballistic pendulum problem!} mehanical a) Does the buccaneer's collision with the rope conserve her-kietie en- ergy? {Y/N?} b) Neglecting any energy losses due to friction, air drag, etc., determine the velocity of the buccaneer + rope system right after she grabs the rope in m/s. {Assume a closed system, thus Conservation of Energy} c) Is it possible to calculate the buccaneer's initial speed before she grabbed the rope from the information given? {Y/N?}

A ball with a mass of 275 g is dropped from rest, hits the floor and rebounds upward. If the ball hits the floor with a speed of 3.50 m/s and rebounds with a speed of 1.50 m/s, determine the following. (a) Magnitude of the change in the ball's momentum in kg · m/s (Let up be in the positive direction.) (b) Change in the magnitude of the ball's momentum in kg · m/s (Let negative values indicate a decrease in magnitude.) (c) Which of the two quantities calculated in parts (a) and (b) is more directly related to the net force acting on the ball during its collision with the floor? 1. The magnitude of the change in the ball's momentum2. Neither are related to the net force acting on the ball. 3. They both are equally related to the net force acting on the ball.4. The change in the magnitude of the ball's momentum

A 6.0 kg car is sitting on a floating 10 kg container in a lake and initially at rest 1.2 m away from the park. If the cat jumps back to the park, what is the minimum recoil speed of the box in the opposite direction? Assume the water and air friction are negligble and the dog travels in projectile motion.

Two fun-loving otters are sliding toward each other on a muddy (and hence frictionless) horizontal surface. One of them, of mass 7.50 kg, is sliding to the left at 5.00 m/s while the other, of mass 5.75 kg, is slipping to the right at 6.00 m/s. They hold fast to each other after they collide. (a) Find the magnitude and direction of the velocity of these free-spirited otters right after they collide. (b) How much mechanical energy dissipates during this play?