A 54-kg woman and a 75-kg man stand 15 m apart on frictionless ice. How far from the woman is their CM? Express your answer using two significant figures. If each holds one end of a rope, and the man pulls on the rope so that he moves 3.0 m , how far from the woman will he be now?
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A 54-kg woman and a 75-kg man stand 15 m apart on frictionless ice.
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- A father (mF = 90 kg) and his daughter (mD= 42 kg) stand on a flat frozen lake of negligible friction. They hold a 12 m long rope stretched between them. The father and daughter then pull the rope to bring them together. If the father is initially standing at the origin, how far from the origin will they meet?A 68.9 kg woman and her 31 kg son are standing at rest on an ice rink. They push against each other for a time of 0.73 s, causing them to glide apart. (Assume friction is negligible during the push.) The speed of the woman immediately after they separate is 4 m/s.Two astronauts, one of mass 65 kg and the other 82 kg , are initially at rest together in outer space. They then push each other apart. How far apart are they when the lighter astronaut has moved 15 m ? Express your answer to two significant figures and include the appropriate units.
- a) On a lightweight (air filled) banana boat, three people of all different masses sit along the x-axis at positions and measured from the left hand end. Person 1 : 8.3-kg 3.2m Person 2: 10-kg 7.7m Person 3: 11.2-kg 8.7 m find the position of the CM B) On a lightweight (air filled) banana boat, three people of all different masses sit along the x-axis at positions and measured from the left hand end. Person 1: 11.6-kg 3.9m Person 2: 11.7-kg 4.4 m Person 3: 11.9-kg 9.8m Find the position of the CMTwo stationary hockey players push each other so that they move in opposite directions. One player has a mass 38.7 kg and a speed of 2.8 m/s. What is the mass of the other player if her speed is 3.8 m/s ? Neglect friction.A woman weighing 61.5 kg stands at one end of a 120-kg raft that is 6.00 m long. The other end of the raft is 0.500 m from a pier. So, before the woman moves, she is at a total distance of 6.50 m away from the pier. The woman walks toward the pier until she gets to the other end of the uniform raft and stops there. What is the distance between the uniform raft and the pier?
- The script for an action movie calls for a small race car (of mass 1800 kg and length 3.5 m) to accelerate along a flat-top boat (of mass 4500 kg and length 20 m), from one end of the boat to the other, where the car will then jump the gap between the boat and a somewhat lower dock. You are the technical advisor for the movie. The boat will initially touch the dock, as in the figure; the boat can slide through the water without significant resistance; both the car and the boat can be approximated as uniform in their mass distribution. Determine what the width of the gap will be just as the car is about to make the jump. Dock- Boat - Number i UnitsTwo ice skaters, with masses of 50 kg and 75 kg, are at the center of a 60-m-diameter circular rink. The skaters push off against each other and glide to opposite edges of the rink. If the heavier skater reaches the edge in 20 s, how long does the lighter skater take to reach the edge?You are about to do a back squat. You place a 20 kg plate on one end of the bar and mistakenly place a 40 kg plate on the other end of the bar. The bar is 2 m long and has a mass of 20 kg without the plates on it. The 20 kg plate is located 0.4 m from the left end of the bar and the 40 kg plate is located 0.4 m from the right end of the bar. How far (m) from the right end of the bar is the center of gravity located?
- Gerald and Julia drove to Baguio and is resting in their car before they go to their inn. Their parked car happens to be 15.0 m from the edge of a cliff. The car's mass, plus that of their combined masses is 1050 kg. Julia's jealous ex-boyfriend ties an improvised rope to their car's bumper and a 90 kg rock to the other end of the rope. He then lowers the rock over the edge of the cliff (assume the interaction between the cliff and the rock produce a negligible amount of friction) and the car, which is in neutral, accelerates toward the edge. Assume the car experiences 42 N of frictional force. What is the acceleration of the car towards the edge? 0.790 m/s^2 O 0.737 m/s^2 0.810 m/s^2 0.880 m/s^23. Three people of roughly equal masses on a lightweight banana boat sit along the x axis at positions XĄ = 1.0 m, xg = 5.0 m, and x, = 6.0 m, measured from the left-hand end. Find the position of the cm. Ignore the boat's mass.A 10 g bullet is fired into a 1.0 kg wood block, where it lodges. Subsequently, the block slides 4.2 m across a wood floor (uk = 0.2). What was the bullet's speed. Use g = 10 N/kg.