Two figure skaters are coasting in the same direction, with the leading skater moving at 5.5 m/s and the trailing skating moving at 6.2 m/s. When the trailing skater catches up with the leading skater, he picks her up without applying any horizontal forces on his skates. If the trailing skater is 50% heavier than the 50-kg leading skater, what is their speed after he picks her up?

Q: On a very muddy football field, a 120 kg linebacker tackles an 80 kg the linebacker is slipping with…

A: Given: ML=120KgVL=8.6 m/s towards north=8.6 j ^ m/sMH=80 KgVH=7.3 m/s towards east = 7.3 i^ m/s

Q: A 75-g ball is dropped from rest from a height of 2.2 m. It bounces off the floor and rebounds to a…

A:

Q: A 3.50 x 105 kg tugboat is traveling south at 4.20 m/s and attaches itself to a stationary barge…

A: Given: The mass of the tugboat is 3.5x105 kg. The initial velocity of the tugboat is 4.2 m/s toward…

Q: A bullet of mass 4.20 g is fired horizontally into a 2.42 kg wooden block at rest on a horizontal…

A: Given:Mass of bullet = 4.20 gMass of block = 2.42 kgKinetic friction = 0.215Initial velocity of the…

Q: a 3000 kg truck is driving at 20 m/s north. it collides head-in with a 1200 kg car travelling south…

A:

Q: An 81 kg fisherman jumps from a dock into a 134 kg rowboat at rest on the West side of the dock. If…

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Q: Two ice skaters suddenly push off against one another starting from a stationary position. The 45-kg…

A: Given data:  Initially two ice skaters are at rest Mass of first skater (m1) = 45 kg Speed of first…

Q: A hockey goalie is standing on ice. Another player fires a puck (m = 0.170 kg) at the goalie with a…

A: Given: The mass of the puck: m=0.170 kg The initial velocity of the puck: vi=+69.1 m/s

Q: Eight boxcars are moving at a speed of 0.2 m/s along a track when they collide with a single…

A:

Q: Three skydivers are plummeting earthward. They are initially holding onto each other, but then push…

A: Since initially, the skydivers plummet earthward, that is, the motion is vertically downward, their…

Q: A golf ball of mass 0.050 kg is at rest on the tee and has a velocity of  102 m/s immediately after…

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Q: A 75-kg man is riding in a 30-kg cart at 2.0 m/s. He jumps off in such a way as to land on the…

A:

Q: 25. A 0.25 kg arrow with a velocity of 12 m/s to the east strikes a target and pierces the…

A: Using the conservation of momentum we will solve the given question.

Q: A 2000-kg railway freight car coasts at 4.4 m/s underneath a grain terminal, which dumps grain…

A: Given: A 2000-kg railway freight car coasts at 4.4 m/s underneath a grain terminal, which dumps…

Q: In baseball, the pitcher thrusts the ball 145 g towards the batter at a speed of 30 m/s. The batter…

A:

Q: A hockey puck of mass 150 g is sliding due east on a frictionless table with a speed of 10 m/s.…

A:

Q: A 480-kg car moving at 14.4 m/s hits from behind a 570-kg car moving at 13.3 m/s in the same…

A:

Q: A man with a mass of m1 =75kg running at a speed of υ1 =7.2km/h catches up with a cart with a mass…

A:

Q: A golf ball of mass 0.050 kg is at rest on the tee and has a velocity of 102 m/s immediately after…

A: The golf ball's initial velocity is, u=0 m/s The golf ball's final velocity is, v=102 m/s The ball's…

Q: A car of mass 1000.0 kg moving at 20.0 m/s collides with a 5000.0 kg truck at the initial velocity…

A: Given, mass of the car, m = 1000.0 kg velocity of the car before collision, u1 = 20.0 m/s mass of…

Q: In a demolition derby, a car of mass M kg and velocity 5.72 m/s crashes into a car of mass 2112.41…

A:

Q: 3. A 4.80 kg fish is swimming at 1.00 m/s to the right. He swallows a 1.50 kg fish swimming toward…

A: From conservation of energy, the initial momentum is equal to the final momentum.

Q: A hockey goalie is standing on ice. Another player fires a puck (m = 0.170 kg) at the goalie with a…

A:

Q: A bullet of mass m initially traveling at speed v imbeds itself in a wooden block and travelsΔx…

A:

Q: Jack (mass 55.0 kg) is sliding due east with speed 8.00 m/s on the surface of a frozen pond. He…

A:

Q: A 1000-kg car approaches an intersection traveling north at 20.0 m/s. A 1200-kg car approaches the…

A:

Q: Two ice skaters, initially at rest, push off each other in opposite directions. The skater labeled…

A:

Q: 0.5 kg stationary ball is struck by a 25 kg mallet and leaves the collision at 22 m/s. If the ball…

A:

Q: Two ice skaters suddenly push off against one another starting from a stationary position. The 45-kg…

A: Given:            mass m1 = 45kg            mass m2 = 60kg               v1         = 0.375m/s…

Q: A football player kicks a 0.41-kg football initially at rest; and the ball flies through the air. If…

A: ball's speed after it is hit=> v=  21 m/s initially the ball was at rest, therefore u=0 m/s…

Q: A toy train engine (3.4.kg) is moving 0.25_m/s to the right when it collides with a train car…

A: Solution: Given that mengine = 3.4 kg mcar = 3.9 kg vengine = 0.25 m/s vengine = 0.15 m/s

Q: What is the acceleration of a 5000 kg rocket taking off from the Moon, where the acceleration  due…

A: Given data:  Mass of rocket (m) = 5000 kg Acceleration due to gravity (g) = 1.6 m/s2 Mass flow rate…

Q: A 22-g puck hits the wall of an air hockey table perpendicular to the wall with an initial speed of…

A: Given: The mass of the puck is 22 g. The striking velocity is 14 m/s. The rebounding velocity is 14…

Q: A minicab, of mass 3,000 kg collides with a 4,000 kg car at rest. The two vehicles coupled together…

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Q: A skater of mass 72.5 kg initially moves in a straight line at a speed of 4.80 m/s. The skater…

A:

Q: A 6.0 kg car is sitting on a floating 10 kg container in a lake and initially at rest 1.2 m away…

A: Given data: Mass of cat is m=6 kg. Mass of container is M=10 kg. The distance between park and cat…

Q: A block of mass m1 = 14 kg slides along a horizontal surface (with friction, μk = 0.27) a distance d…

A:

Q: Two figure skaters are coasting in the same direction, with the leading skater moving at 6.5 m/s and…

A:

Q: A vacationer of mass 75 kg is standing on a stationary raft of mass 55 kg. The vacationer then walks…

A: RELATIVE VELOCITY

Q: A hockey player with a mass of M = 72 kg, standing on ice, pushes a plate with a mass of m = 0.5 kg…

A: Given information Mass of the hockey player M=72 kg. Mass of the plate m=0.5 kg. Velocity of the…

Q: A baseball of mass m1 = 0.31 kg is thrown at another ball hanging from the ceiling by a length of…

A:

Q: A 1000-kg car approaches an intersection traveling north at 20.0 m/s. A 1200-kg car approaches the…

A: Given Mass of one car = m1 = 1000 kg Velocity of one car = u1 = 20 m/s in North Mass of second car =…

Q: A freight train is being assembled in a switching yard, with two boxcars. Car 1 has a mass of m1=…

A:

Q: An open train car, with a mass of 2050 kg, coasts along a horizontal track at the speed 2.792.79…

A: If the net external forces acting on the system add up to zero, then the linear momentum of system…

Q: A bullet (m=0.005kg) moving at 500 m/s strikes and sticks in a block of wood (m=5kg). What is the…

A: According to the principle of conservation of momentum, the total momentum of the system must be…

Newton’s Third Law of Motion

The horse pulls the cart and the cart pulls the horse in response as per Newton third law. So the big question is, “Don’t the two forces cancel each other? How does the cart accelerate?”