Check Your Understanding When the length of the spring in Example 8.3 changes from an initial value of 22.0 cm to a final value, the elastic potential energy it contributes changes by -0.0800 J. Find the final length.
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- 18.3 kg block is dragged over a rough, horizontal surface by a constant force of 80.9 N acting at an angle of 30◦ above the horizontal. The block is displaced 52.1 m, and the coefficient of kinetic friction is 0.15.The acceleration of gravity is 9.8 m/s^2 a) Find the work done by the force of friction.Answer in units of J. b) If the block was originally at rest, determineits final speed.Answer in units of m/s.The system shown in the figure consists of a 4.0 kg block sliding on a horizontal table connected by a string of negligible mass run over a pulley with negligible friction to a hanging 10 kg mass. The two objects are released from rest and the string remains taut throughout the motion. We wish to find the speed of the two objects after the hanging mass has fallen by 20 cm. Since only differences in potential energy are important, wecan set the zero point of potential energy for each object independently. For the sliding block, consider the zero point of potential energy as the height of the table. For the hanging mass, use the ground. Using this convention, what is the total initial gravitational potential energy of the system? Remember to include the contributions from both objects. Using the same convention, what is the total final gravitational potential energy of the system? What is the total kinetic energy of the system after the hanging mass has fallen by 20 cm? You may…empt=250717&cmid3D1561428&page=D13 Course dashboard If it takes 4.00 J of work to stretch a Hooke's-law spring 5.0 cm from its unstressed length, determine the extra work required to stretch it an additional 10.0 cm? E 64.00 J 32.00 J 16.00 J 8.00 J 4.00 J itfen birini seçin:
- 14. In the figure, a constant external force P = 130 N is applied to a 20-kg box, which is on a rough horizontal surface. The force pushes the box a distance of 8.0 m, in a time interval of 7 s. If at the beginning of the movement the velocity is and at the end of the 7 seconds it is, the work done by the external force P is approximately: choose an answer A B C D E 720 J 900 J 520 J 810 J 620 J1. When a 4.00 kg object is hung vertically on a certain light spring that obeys Hooke’s Law, the spring stretches 2.50 cm. If the 4.00 kg object is removed, (a) how far will the spring stretch if a 1.50 kg block is hung on it, and (b) how much work must an external agent do to stretch thesame spring 4.00 cm from its unstretched position? 2. A 100-g bullet is fired from a rifle having a barrel 0.600m long. Assuming the origin is placed where the bullet begins to move, the force exerted by the expanding gas on the bullet is (15,000 + 10.000x − 25,000x2)N, where x is in meters. (a) Determine the work done by the gason the bullet as the bullet travels the length of the barrel. (b) If the barrel is 1.000m long, how much work is done, and how does this value compare to the work calculated in part (a)? What is the percent increase or decrease? 3. A small particle of mass m is pulled o the top of a frictionless half-cylinder (of radius R) by a cord that passes over the top of the cylinder.…None
- 1. A 23.0 kg child is playing on a swing with a length of 2.5 m. If the swing starts from rest and makes an angle of 40.0◦ with the vertical at the top of the swing, a) determine the child’s speed at the bottom of the swing neglecting friction. b) If the swing has a speed of 2.8 m/s at the bottom, determine the work done by friction during the downswing and, bonus) assuming the force of friction is constant, determine the maximum angle the swing attains on the upswing after passing through the bottom. Hint: Use the approximation that cos θ ≈ 1 − 1 2 θ 2 for angles given in radians.A block with a mass of 2.0kg is held against a spring with a spring constant of 250 N/m. The block compresses the spring 22cm from its equilibrium position. After the block is released, it travels along a frictionless surface, then up a frictionless ramp. The ramps angle is 30.0 degrees. A) What is the stored elastic potential energy in the spring before it is released? B) What is the speed of the block as it travels along the surface? C) How far up the ramp will the block go?