7. The spring is compressed by the mass (m= 2 kg) to half of its original length and then released. The surface is not smooth and has coefficient of friction 0.2. What will be its speed after 2 s. The spring constant is 200 N/m and the unstretched length of the spring is 60 cm.The mass is not connected to the spring and it can slide on the surface after it is released after compression. k x = 0
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- 4) A small box of mass 0.021 kg compresses a spring (k = 420 N/m) a distance of 0.070 m and is released. It travels on a horizontal, frictionless track and then enters a vertical loop. The loop has a radius of 0.24 m. What is the speed of the block when it reaches the top of the loop?1. When a 2.00 kg mass is attached to a vertical spring is stretched 10.0 cm such that the mass is 50.0 cm above the table. What is the gravitational potential energy associated with the mass relative to the table?1. A boy swings back and forth on a swing whose ropes are 4.10 m long. The maximum height he reaches is 3.07 m above the ground. At the lowest point of the swing, he is 0.75 m above the ground. What is the boy's maximum speed? x3.83 m/s 20116 cci16 16 cci16 c ceil6 ccil
- 8. A vertically mounted spring (k = 800 N/m) is compressed by 21.0 cm relative to its unstrained length. A mass (m = 0.40 kg) is placed at rest against the spring. When the spring is released, the mass is launched vertically in the air. How high from the release point can the mass reach? m2. A simple pendulum is suspended from the ceiling by means of a string of length of 1.82 m, Assume that there is no friction or air resistance.Suppose you were to release the pendulum from rest, starting from an angle of 42.9 degrees to the vertical. What will be the speed of the pendulum at the instant it reaches an angle of 12.9 degrees above the vertical? 0.95 m/s 4.64 m/s 2.94 m/s 3.09 m/s1. A simple pendulum is suspended from the ceiling by means of a string of length 1.14 m. Assume that there is no friction or air resistance. Suppose you were to release the pendulum from rest, starting from an angle of 58.2 degrees with respect to the vertical, as shown. What will be the speed of the pendulum at the instant it swings through its lowest point (that is, when it s momentarily hanging vertically)? 2.28 m/s 3.25 m/s 3.43 m/s 4.73 m/s
- 2. Tarzan, whose weight is W = 688 N, swings from a vine of length L = 18 m. He starts his swing from rest at the edge of a cliff that is h = 3.2 m above the bottom of his trajectory. The vine will break if its tension exceeds T 900 N. W (a) Does the vine break? If the vine does not break, what is the greatest (b) tension in the vine? If the vine breaks, at what angle with respect to the vertical will it break?A 500-g block is released from rest and slides down a frictionless track that begins 2.50 m above the horizontal, as shown in the figure below. At the bottom of the track, where the surface is horizontal, the block strikes and sticks to a light spring with a spring constant of 10.0 N/m. Find the maximum distance the spring is compressed. mN 2. A horizontal spring is compressed by 25.0 cm. A 640.0 g box is then placed against the spring and then released. After travelling 3.15 m from the release point, the speed of the mass is 5.68 m/s. The coefficient of friction is 0.34. What is the spring constant of the spring? mi Tum Tm =
- spring constant = 638 N/m.mass = 2.7 kgh = 2.9 mangle = 24 degrees.Note: Assume there is no friction. How far does the spring compress in m when the mass stops?What If? If the object becomes attached securely to the end of the spring when it makes contact, what is the new value of the distance D (in m) at which the object will come to rest after moving to the left?3. A 60 kg snowboarder begins to slide down the hill 50 m high on a smooth surface with a radius curvature of 80 m. The next section (AB) is a 20 m flat rough track with u = .3, at the end of which there is an elastic barrier with k = 1000 N/m. Find her speed at point A. b. How much work is done by frictional force? c. What is the maximum compression of the spring? d. Find the rate of heat dissipation along the section AB. e. How long does it take to cover the section AB? а. h k В