A mass m is acted on by a force F1(x) = Ax from x = 0 to x = L. %3D If m starts from rest, what is its speed at x = L? (a) (b) Beyond x = L, F1 = 0, but the mass encounters a surface with coefficient of kinetic friction Hk- How far does m go before coming to rest? [Find the answer using the kinetic energy-work theorem.] %3D %3D F1(x) F = 0 H = 0 A origin L
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- Given: A shooting guard throws a basketball m = 1 kg straight up with an initial speed of v0 = 5.5 m/s. He releases the ball at shoulder height h0 = 1.95 m. Let gravitational potential energy be zero at ground level. Give the total mechanical energy of the ball E in terms of maximum height hm it reaches, the mass m, and the gravitational acceleration g. What is the height, hm in meters?A large cruise ship of mass 6.00 ✕ 107 kg has a speed of 12.4 m/s at some instant. (a) What is the ship's kinetic energy at this time? J(b) How much work is required to stop it? (Give the work done on the ship. Include the sign of the value in your answer.) J(c) What is the magnitude of the constant force required to stop it as it undergoes a displacement of 3.40 km? N805 (8 In the figure, a frictionless roller coaster car of mass m =805. kg tops the first hill with speed vo = 18.0 m/s at height h = 41.0m. What is the speed of the car at (a) point A, (b) point B, and (c) point C? (d) How high will the car go on the last hill, which is too high for it to cross? Use g=9.81 m/s?. First hill- h/2 2.
- A large cruise ship of mass 6.80 x 107 kg has a speed of 11.6 m/s at some instant. (a) What is the ship's kinetic energy at this time? J (b) How much work is required to stop it? (Give the work done on the ship. Include the sign of the value in your answer.) J (c) What is the magnitude of the constant force required to stop it as it undergoes a displacement of 3.80 km? N4. Here we prove a version of the work-kinetic energy theorem for an object moving in 1-D subject to a constant force. Consider a mass m, traveling initially at speed v, on which a constant net force F is applied in the same direction as its motion over a distance d. After the net force has acted over this distance, the speed of the object is v2. In terms of m, F, v1, v2, and d only, V, A) What is the acceleration of the mass? t=0 m F d t>0_m B) What is the time over which the mass travels the V, distance d? [Use one equation of constant acceleration to find this.] C) Use another equation of constant acceleration to relate m, F, v,, v2, and d. Show that the product W = Fd is equal to the change in the mass’s kinetic energy.PRINTER VERSION 1 BACK NEXT Chapter 07, Problem 001 A proton (mass m = 1.67 x 1027 kg) is being accelerated along a straight line at 4.60 x 1010 m/s2 in a machine. If the proton has an initial speed of 4.00 x 105 m/s and travels 1.10 cm, what then is (a) its speed and (b) the increase in its kinetic energy? (a) Number Units (b) Number Units Click if you would like to Show Work for this question: Open Show Work Question Attempts: Unlimited SAVE FOR LATER SUBMIT ANSWER 6:53 PM ENG search 3/30/2021 pause break prt sc insert delete 13) ohome 10 end mpgup 12Pgdn 45 %23 backspc 3 5. 8.
- You drop a 1.40 kg book to a friend who stands on the ground at distance D = 12.0 m below. Your friend's outstretched hands are at distance d = 1.30 m above the ground (see the figure). (a) What is the speed of the book when it reaches her hands? (b) If we substituted a second book with twice the mass, what would its speed be when it reaches her hands? (c) If, instead, the book were thrown down with initial speed 5.90 m/s, what would be the answer to (a)? (a) Number i Units (b) Number i UnitsCan someone help with second question? Thanks