A 60 kg man and a 50 kg woman are standing on opposite ends of a platform of mass 20 kg. The platform is placed on a smooth horizontal ground. The man and woman begin to approach each other. Find the displacement of the platform when the two meet in terms of the displacement a of the man relative to the platform. The length of the platform is 6 m.
Q: Sp- Iron d₁- 2d -Midpoint Aluminum
A: Centre of mass is the point where the whole mass of the system is concentrated and the whole system…
Q: Identical twins, each with mass 49.0 kg, are on ice skates and at rest on a frozen lake, which may…
A:
Q: A ball is attached to one end of a wire, the other end being fastened to the ceiling. The wire is…
A: Mass of a ball mball = 1.7 KgMass of a block mblock = 2.3KgLength of the wire l = 1.27 m
Q: Look at the following arrangement. At an airport, M kg of luggage is unloaded from a plane into the…
A:
Q: A 45.0 kg girl is standing on a 153 kg plank. The plank, originally at rest, is free to slide on a…
A:
Q: A lumberjack (mass = 94.8 kg) is standing at rest on one end of a floating log (mass = 282 kg) that…
A: Given dataMass of the lumberjack, Mass of log, Velocity of lumberjack relative to the shore is,
Q: A wagon is rolling forward on level ground. Friction is negligible. The person sitting in the wagon…
A: Given: The total mass of the wagon, person, and rock is 98.7 kg. The mass of the rock is 0.275 kg.…
Q: A spring of negligible mass is compressed between two blocks, A and B, which are at rest on a…
A: distance of block B from right wall (d) = 5.8 m distance of block A from left wall (d') = 1 m mass…
Q: You are holding a basketball and standing at rest on top of a skateboard. If you throw the…
A: Initially, as both the person and the basketball were at rest, so the initial momentum of the system…
Q: A person horizontally pushes a small disc of mass m on frictionless ice surface with a force that…
A: Note: Since you have posted a question with multiple sub-parts, we will solve the first three…
Q: Two carts, labeled 1 and 2, are headed toward each other along a level track. Both carts roll…
A: Given: m1 = 21.3 kgm2=3.11kgv1i=u1 = 1.9 m/sv2i=u2=-1.8 m/slet final speed are v1 and v2
Q: Three ice skaters meet at the center of a rink and each stands at rest facing the center, within…
A: According to the law of conservation of linear momentum, the total linear momentum of any system…
Q: 99 - kg particle has a velocity (2.07 1-3.02 )) m/s, and a 3.04 - kg particle has a velocity (0.99…
A:
Q: A 45.0 kg girl is standing on a 142 kg plank. The plank, originally at rest, is free to slide on a…
A:
Q: An object with mass m1 = 3.00 kg is moving along the positive x axis with a speed v1i = 2 m/s…
A:
Q: A bullet of mass 5.00 g is fired horizontally into a wooden block of mass 1.24 kg resting on a…
A:
Q: -45.0 kg girl is standing on a 161 kg plank. The plank, originally at rest, is free to slide on a…
A: Given: The mass of the girl is 45.0 kg. The mass of the plank is 161 kg. The…
Q: Three glasses are placed by a waiter on a light-weight tray. The first glass has a mass of M1 = 550…
A: Given M1 = 550 g R1 = 18 cm θ1 = 35° M2 = 325 g R2 = 25 cm θ2 = 55° M3 = 275 g R3 = 15 cm θ3 =…
Q: Identical twins, each with mass 64.0 kg, are on ice skates and at rest on a frozen lake, which may…
A:
Q: The figure shows a composite slab with dimensions d₁ = 11.2 cm, d₂ = 2.93 cm, and d3= 13.6 cm. Half…
A:
Q: A ball is attached to one end of a wire, the other end being fastened to the ceiling. The wire is…
A: Given Data: Mass of the ball (mb) = 1.7 kg.Mass of the block (mbl) = 2.3 kg.Length of the wire (L) =…
Q: Two blocks (m₁ and m2) are released from rest at a height of h= 14.00 m on a rough track. The…
A: h = 14mm1 = 4.09 kg , m2= 7.93kg
Q: Three ice skaters meet at the center of a rink and each stands at rest facing the center, within…
A:
Q: Sigh Has a shape of à right triangle whose dimensions are shown in figure. Determine the y…
A: According to our guidelines , we have to answer only one question if there are more than one…
Q: hree ice skaters meet at the center of a rink and each stands at rest facing the center, within…
A: Apply conservation of momentum in the x direction, mBvB+mcvcx=0vcx=-mBvBmc=-70 kg-4 m/s90 kg=3.11…
Q: Two people are standing on a 1.82-m-long platform, one at each end. The platform floats parallel to…
A:
Q: Three small but dense objects are located in the x-y plane as shown in the figure. The objects have…
A:
Q: Three ice skaters meet at the center of a rink and each stands at rest facing the center, within…
A: The mass of skaters A is mA=90 kgThe velocity of the skaters A in the negative y-direction is…
Q: Three ice skaters meet at the center of a rink and each stands at rest facing the center, within…
A: Given mA = 90.0 kg mB = 80.0 kg mC = 70.0 kg vA = -2.50 m/s j VB = -4.00 m/s i
Q: A small block of mass m1 = 0.770 kg is released from rest at the top of a curved wedge of mass…
A:
Q: A projectile with a mass m = 200 kg and a velocity v = 100 m s−1 is fired at an angle of ϕ = 60 ◦ .…
A:
Q: An unstable atomic nucleus of mass 1,00 x 102 kg initially at rest disintegrates into three…
A:
Q: The figure shows a composite slab with dimensions d₁ = 11.9 cm, d₂ = 2.94 cm, and d3 = 12.8 cm. Half…
A:
Q: A 95.0 kg football player is standing on a sheet of ice, i.e., there is negligible friction between…
A:
Step by step
Solved in 2 steps
- Figure 1 The positive direction 1i 2i m1 m2 "The lab frame:" This track is not moving.At time t = 0, force F1= (-6.31î + 6.70f) N acts on an initially stationary particle of mass 3.21 x 103 kg and force F2 = (2.69î – 4.74) N acts on an initially stationary particle of mass 3.00 x 103 kg. From time t = 0 to t = 4,46 ms, what are the (a) magnitude and (b) angle (relative to the positive direction of the x axis) of the displacement of the center of mass of the two-particle system? (c) What is the kinetic energy of the center of mass at t= 4.46 ms? (a) Number i Units (b) Number i Units (c) Number i UnitsF A B D three blocks are in contact with each other and their masses are: m (A) = 44.4 kg, m (B) = 34.4 kg, m (C) = 24.4 kg, and m (D) = 14.4 kg. Block A is being pushed by a horizontal F = 500 N as shown. All the four boxes are moving together. The coefficient of kinetic friction between block and floor is 0.050. What is the magnitude of the force that block C exerts on block D? (q1245) a) 061.2 N b) 0500.0 N c) 054.2 N d) 0442.4 N
- The figure shows a three-particle system, with masses m1 = 4.8 kg, m2 = 4.0 kg, and m3 = 6.9 kg. What are (a) the x coordinate and (b) the y coordinate of the system's center of mass? y (m) m1 x (m) (a) Number Units (b) Number i UnitsThe figure shows a composite slab with dimensions d₁ = 11.9 cm, d₂ = 2.94 cm, and d3 = 12.8 cm. Half the slab consists of aluminum (density = 2.70 g/cm³) and half consists of iron (density = 7.85 g/cm³). What are (a) the x coordinate, (b) the y coordinate, and (c) the z coordinate of the slab's center of mass? (a) Number (b) Number (c) Number dy Iron Units Units Units 2d₁ -Midpoint Aluminum dy 11The figure shows a three-particle system, with masses m₁ = 4.8 kg, m₂ = 5.0 kg, and m3 = 8.3 kg. What are (a) the x coordinate and (b) the y coordinate of the system's center of mass? (a) Number i 1.3 (b) Number i 1.5 y (m) Units Units 1 m m INS 2 №² 3 x (m)
- A metal object of mass m = 45.77 g with sharp edges hits a wooden block of mass M = 425.3 g at rest on a horizontal surface. Assume that the coefficient of kinetic friction between the block and the surface μk is 0.43. When the metal object hits the block, it is stuck with the block and both start to slide together with velocity vf. They move together after the collision, and stop after sliding ∆x = 1.95 m. What is the initial velocity vi of the metal object before it hits the block in m/s? Keep three significant figures for the answer.A 45.0 kg girl is standing on a 137 kg plank. The plank, originally at rest, is free to slide on a frozen lake, which is a flat, frictionless surface. The girl begins to walk along the plank at a constant velocity of 1.41 m/s relative to the plank. (Let the direction the girl is moving in be positive. Indicate the direction with the sign of your answer.) (a) What is her velocity relative to the surface of ice? m/s(b) What is the velocity of the plank relative to the surface of ice? m/sAn 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
- A ball weighing 800 grams and having a radius of 2cm moves in the direction of the positive x-axis at a speed of 5m/s. It collides with another stationary ball weighing 500 grams and also having a radius of 2cm. The collision occurs off-center, with the vertical components of the centers of the balls differing by 1cm. Following the collision, the lighter ball attains a speed of 3m/s. Determine the velocity of the heavier ball after the collision and calculate the amount of energy lost during the collision.A ball is attached to one end of a wire, the other end being fastened to the ceiling. The wire is held horizontal, and the ball is released from rest (see the drawing). It swings downward and strikes a block initially at rest on a horizontal frictionless surface. Air resistance is negligible, and the collision is elastic. The masses of the ball and block are, respectively, 1.7 kg and 2.5 kg, and the length of the wire is 1.36 m. Find the velocity (magnitude and direction) of the ball just after the collision.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?