Figure E8.54 1200 kg 1800 kg 12.0 m/s 20.0 m/s K - 40.0 m
Q: Consider a system consisting of three objects: Object A with a mass of 2 kg located at position (1,…
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Q: A stone is dropped at t = 0. A second stone, with 4 times the mass of the first, is dropped from the…
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Q: The vector position of a 4.00 g particle moving in the xy plane varies in time according to r, = (3î…
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Q: Two cars collide at an icy intersection and stick together afterward. The first car has a mass of…
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Q: A 41.5-kg person, running horizontally with a velocity of +2.19 m/s, jumps onto a 18.3-kg sled that…
A: As no external forces act on the system, the total momentum of the system is conserved. That is the…
Q: A fisherman of mass 75 kg is standing at one end of a boat of mass 300 kg and length 20 m floating…
A: The mass of the fisherman is given as, m1 = 75 kg The mass of the boat is given as, m2 = 300 kg The…
Q: A body of mass 2.2 kg makes an elastic collision with another body at rest and continues to move in…
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Q: Two cars collide at an icy intersection and stick together afterward. The first car has a mass of…
A: (a) According to the conservation of momentum, exerted on the cars in west direction,…
Q: A system composed of the following particles: a 0.500 kgkg particle at the origin; a 1.25 kgkg…
A: Solution: Given that m1 = 0.5 kg (0,0) m2 = 1.25 kg (0.15m,0.2m) m3 = 0.75 kg (0.2m, -0.8m)
Q: Suppose the mass of a bullet is 0.020 kg and its velocity is +703 m/s. Her mass (including the gun)…
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Q: The lead female character in the movie Diamonds Are Forever is standing at the edge of an offshore…
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Q: the x-y coordinate system shown, loca plate.
A: Given: To find the locate the mass of the plate and the center of mass of the system is given as,
Q: The lead female character in the movie Diamonds Are Forever is standing at the edge of an offshore…
A: The mass of the bullet is mb=0.017 kg. The velocity of the bullet is vb=750 m/s. The mass of the…
Q: A 46.7-kg person, running horizontally with a velocity of +4.20 m/s, jumps onto a 17.7-kg sled that…
A: Mass of person(M)=46.7kg velocity of person (vp )=4.20 m/s2 mass of sled (m)=17.7 kg initially…
Q: A 74.9-kg person, running horizontally with a velocity of +3.66 m/s, jumps onto a 20.0-kg sled that…
A: a. According to the conservation of momentum, the total momentum after and before collision are…
Q: A body of mass 4.0 kg makes an elastic collision with another body at rest and continues to move in…
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Q: A fisherman throws a 6.40 kg fish he's caught back into the water at 10.0 m/s. Assuming the throw…
A: By Conservation of Momentum (M1 + M2 ) V = M3V3 (26 kg + 45 kg) V = ( 6.4 kg) (10 m/s) V= 0.901 m/s.
Q: Consider two objects. Object 1 has a mass of 7 kg and is placed at the origin. Object 2 has a mass…
A: The formula for x-coordinate of the center of the mass is:
Q: Two manned satellites approaching one another at a relative speed of 0.300 m/s intend to dock. The…
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Q: Consider a bullet of mass 200 g traveling horizontally towards the east with a speed of 400 m/s. It…
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Q: Determine (a) the vector position of the center of mass of the system, (b) the linear momentum of…
A: (a)
Q: The vector position of a 3.70 g particle moving in the xy plane varies in time according to r₁ = (3î…
A: Disclaimer: “Since you have asked posted a question with multiple sub-parts, we will solve the first…
Q: Two manned satellites approaching one another at a relative speed of 0.150 m/s intend to dock. The…
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Q: The lead female character in the movie Diamonds Are Forever is standing at the edge of an offshore…
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Q: The mass of a particle is 2 kg and its velocity is given by V1 = 2i-10tj m/s, with time in t and s.…
A: The velocity of the center of mass of a given system of particles is given by- vCM=m1v1+m2v2m1+m2…
Q: The vector position of a 3.80g particle moving in the xy plane varies in time according tor, = (31 +…
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Q: A body of mass 3.8 kg makes an elastic collision with another body at rest and continues to move in…
A: Part (a) solution: Concept used:
Q: Consider the two moving boxcars in Example 5. Car 1 has a mass of m, = 65000 kg and a velocity of…
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Q: The vector position of a 3.75 g particle moving in the xy plane varies in time according to r₁ = (31…
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Q: The lead female character in the movie Diamonds Are Forever is standing at the edge of an offshore…
A: The mass of the bullet is mb=0.017 kg. The velocity of the bullet is vb=662 m/s. The mass of the…
Q: A tabletop gamer has designed a game that requires three dice to be thrown onto a tray with a…
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Q: Suppose a child drives a bumper car head on into the side rail, which exerts a force of 2200 N on…
A: The given data are:
Q: The vector position of a 3.95 g particle moving in the xy plane varies in time according to r, = (3î…
A: Since you have asked multiple subparts, we will solve the first three for you. If you want a…
Q: Masses of m = 2 (kg) and m2 = 4 (kg), the directions of which are shown in the figure, collide…
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Q: Two manned satellites approaching one another at a relative speed of 0.450 m/s intend to dock. The…
A: Assume that, the reference frame in which the second satellite is initially at rest, and the…
Q: A 0.45 kg hammer is moving horizontally at 8.10 m/s when it strikes a nail and comes to rest after…
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Q: Three particles of masses m1 = 2.5 kg, m2 = 4.1 kg and m3 = 3.1kg are at the corners of an…
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Q: A 66.3-kg person, running horizontally with a velocity of +3.51 m/s, jumps onto a 12.5-kg sled that…
A: a. according to the conservation of momentum, So the final velocity of sled and person is 2.95 m/s.…
Q: The vector position of a 4.00 g particle moving in the xy plane varies in time according to r, = (3î…
A: Since you have posted a question with multiple sub-parts, we will solve the first three sub-parts…
Q: The lead female character in the movie Diamonds Are Forever is standing at the edge of an offshore…
A: a) law of conservation of momentum Pi =Pf Pi= 0 Pf=mv +mb vb mv =-mb vb v =(- mb vb) /m…
Q: A stone is dropped at t=0. A second stone, with 3 times the mass of the first, is dropped from the…
A: Mass of one stone = m1Mass of second stone = 3m2
A 1200 kg SUV is moving along a straight highway at
12.0 m/s. Another car, with mass 1800 kg and speed 20.0 m/s, has its
center of mass 40.0 m ahead of the center of mass of the SUV (Fig.). Find (a) the position of the center of mass of the system consisting
of the two cars; (b) the magnitude of the system’s total momentum,
by using the given data; (c) the speed of the system’s center of mass; (d)
the system’s total momentum, by using the speed of the center of mass.
Compare your result with that of part (b).
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- A 1.90-kg particle has a velocity (2.20 1 - 4.00 ĵ) m/s, and a 4.00-kg particle has a velocity (1.00 +8.00 ĵ) m/s. (a) Find the velocity of the center of mass. Î + m/s (b) Find the total momentum of the system. Î + J kg m/sTwo cars collide at an icy intersection and stick together afterward. The first car has a mass of 1750 kg and was approaching at 7.00 m/s due south. The second car has a mass of 900 kg and was approaching at 19.0 m/s due west. (a)Calculate the final velocity (magnitude in m/s and direction in degrees counterclockwise from the west) of the cars. (Note that since both cars have an initial velocity, you cannot use the equations for conservation of momentum along the x-axis and y-axis; instead, you must look for other simplifying aspects.) magnitude _______________ m/s direction ° _________________ counterclockwise from west (b)How much kinetic energy (in J) is lost in the collision? (This energy goes into deformation of the cars.) ________________________ JA 55.9-kg person, running horizontally with a velocity of +4.89 m/s, jumps onto a 11.6-kg sled that is initially at rest. (a) Ignoring the effects of friction during the collision, find the velocity of the sled and person as they move away. (b) The sled and person coast 30.0 m on level snow before coming to rest. What is the coefficient of kinetic friction between the sled and the snow? (a) Number i (b) Number Units Units
- Two cars collide at an icy intersection and stick together afterward. The first car has a mass of 1050 kg and was approaching at 4.00 m/s due south. The second car has a mass of 900 kg and was approaching at 22.0 m/s due west. (a) Calculate the final velocity (magnitude in m/s and direction in degrees counterclockwise from the west) of the cars. (Note that since both cars have an initial velocity, you cannot use the equations for conservation of momentum along the x-axis and y-axis; instead, you must look for other simplifying aspects.) magnitude m/s direction ° counterclockwise from west (b) How much kinetic energy (in J) is lost in the collision? (This energy goes into deformation of the cars.)Enet = The vector position of a 3.80 g particle moving in the xy plane varies in time according tor, = (3î + 3j)t + 2ĵt2 where t is in seconds and r is in centimeters. At the same time, the vector position of a 5.35 g particle varies as 2 sr, = 3î – 2ît? - 6jt. (a) Determine the vector position (in cm) of the center of mass of the system at t = 2.40 s. rcm 4.744i – 7.38j cm (b) Determine the linear momentum (in g• cm/s) of the system at t = 2.40 s. p = 11.4i – 35.58j g• cm/s (c) Determine the velocity (in cm/s) of the center of mass at t = 2.40 s. 1.245i – 3.888j cm/s = cm (d) Determine the acceleration (in cm/s2) of the center of mass at t = 2.40 s. 0.6775j cm/s? = cm (e) Determine the net force (in µN) exerted on the two-particle system at t = 2.40 s. µN(a) A father of mass 65 kg is standing still on a frictionless ice-covered pond when he tosses a 1 kg football to his son with a velocity of 18 m/s. Determine the father's velocity after throwing it. (b)The son of mass 28 kg is standing still on the same frictionless ice-covered pond when he catches the football. Determine the child's velocity after catching it. What's the coefficient of restitution for this case?
- A 74.6-kg person, running horizontally with a velocity of +4.47 m/s, jumps onto a 11.4-kg sled that is initially at rest. (a) Ignoring the effects of friction during the collision, find the velocity of the sled and person as they move away. (b) The sled and person coast 30.0 m on level snow before coming to rest. What is the coefficient of kinetic friction between the sled and the snow? (a) Number i (b) Number i Save for Later Units Units Attempts: 0 of 3 used Submit AnswerA body of mass 3.1 kg makes an elastic collision with another body at rest and continues to move in the original direction but with 1/9 of its original speed. (a) What is the mass of the other body? (b) What is the speed of the two-body center of mass if the initial speed of the 3.1 kg body was 5.9 m/s? (a) Number (b) Number Units UnitsFor the distribution of particles that appear in the plane of the figure, all the particles have the same mass m. Determine a) The coordinates of the center of mass of the system b) The coordinates in which a fourth particle of mass 2m must be placed so that the center of mass of the new system moves to the origin of coordinates.
- The vector position of a 3.45 g particle moving in the xy plane varies in time according to i, - (3i + 35)t + 2jr? where t is in seconds and is in centimeters. At the same time, the vector position of a 5.20 g particle varies as i,- 31 - zir? - 6jt. (a) Determine the vector position (in cm) of the center of mass of the system at t = 2.90 s. x cm cm (b) Determine the linear momentum (in g cm/s) of the system at t = 2.90 s. 9. cm/s (e) Determine the velocity (in cm/s) of the center of mass at t = 2.90 s. cm/s (4) Determine the acceleration (in cm/s) of the center of mass at t = 2.90 s. cm/s? (e) Determine the net force (in µN) exerted on the two-particle system at t = 2.90 s. UN netA small block of mass m, - 0.755 kg is released from rest at the top of a curved wedge of mass m, = 3.50 kg, which sits on a frictionless horizontal surface as in figure (a). When the block leaves the wedge, its velocity is measured to be 4.00 m/s to the right, as in figure (b). m2 4.00 m/s (a) What is the velocity of the wedge after the block reaches the horizontal surface? (Enter the magnitude of the velocity.) m/s (b) What is the height h of the wedge?Two manned satellites approaching one another at a relative speed of 0.300 m/s intend to dock. The first has a mass of 5.50 ✕ 103 kg, and the second a mass of 7.50 ✕ 103 kg. If the two satellites collide elastically rather than dock, what is their final relative velocity? Adopt the reference frame in which the second satellite is initially at rest and assume that the positive direction is directed from the second satellite towards the first satellite.