5. Two forces, F = (-6,00î – 4.00ĵ)N and E = (-3.00î + 7.00 j) N, act on a particle of mass 2.00 kg that is initially at rest at coordinates (-2.00 m, +4.00 m). (a) What are the components of the particle's velocity at t= 10.0 s? (b) In what direction is the particle moving at t = 10.0 s? (c) What dis- placement does the particle undergo during the first 10.0 s? (d) What are the coordinates of the particle at t = 10.0 s? %3D
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- 2. Consider the following arrangement of masses: Mass 1 is connected to mass 2 by a very light string and moves over a frictionless pulley so that both masses move with the same speed and move the same distances (m₂ to the right a distance d and m₁ down a distance d). Assume m₁ 15 kg, m₂ 15 kg, and the coefficient of kinetic friction between m₂ and the table is k = 0.73. Let the masses start with an initial speed of 1.00 m/s. What is their speed after moving 1.00 cm (d = 0.0100 m)? - mq - -25 ms m1Figure P7.44 45. Review. Two constant forces act on an object of mass m = QIC 5.00 kg moving in the xy plane as shown in Figure P7.45. Force F, is 25.0 N at 35.0°, and force F, is 42.0 N at 150°. At time t = 0, the object is at the origin and has velocity (4.00î + 2.50j) m/s. (a) Express the two forces in unit-vector notation. Use unit-vector notation for your other answers. (b) Find the total force exerted on the object. (c) Find the object's acceleration. Now, considering the instant t = 3.00 s, find (d) velocity, (e) its position, its kinetic energy the object's (f) from mv, and (g) its F2 F kinetic from 150° energy mu + EF · A. (h) What conclusion can you draw by comparing the answers to parts (f) and (g)? 35.0° m Figure P7.45A horizontal force of 80.0 N is applied to a 5.00 kg block as the block slides a distance of 0.800 m along a horizontal floor. The coefficient of kinetic friction between the floor and the block is 0.500. If the block is initially at rest, how fast is it moving at the end of the displacement?
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- A meteoroid of mass = 585 kg has a speed of 83.0 m/s when 700 km above the Earth. It is falling vertically (ignore air resistance) and strikes a bed of sand in which it is brought to rest in 3.51 m. Constants you may find useful: G = 6.67 10-11 N·m2/kg2; MEarth = 5.98 x 1024 kg; REarth = 6.38 x 106 m. Answer with at least 5 decimal places. a. How much work does the sand do to stop the meteoroid? ________ GJ b. What is the average force exerted by the sand on the meteor? ________ GN c. How much thermal energy is produced? ________ GJA 61.0-kg athlete leaps straight up into the air from a trampoline with an initial speed of 9.7 m/s. The goal of this problem is to find the maximum height she attains and her speed at half maximum height. (a) What are the.interacting.objects and how.do.they.interact? This answer has not been graded yet (b) Select the height at which the athlete's speed is 9.7 m/s as y = 0. What is her kinetic energy at this point? What is the gravitational potential energy associated with the athlete? (c) What is her kinetic energy at maximum height? What is the gravitational potential energy associated with the athlete? (d) Write a general equation for energy conservation in this case and solve for the maximum height. Substitute and obtain a numerical answer. m (e) Write the general equation for energy conservation and solve for the velocity at half the maximum height. Substitute and obtain a numerical answer. m/s