2. A simple pendulum is suspended from the ceiling by means of a string. this time of length 2.33 m, which you release from rest at an angle of 45.4 degrees to the vertical. What will be the speed of the pendulum at the instant it reaches an angle of 36.3 degrees above the vertical? 2.18 m/s 3.69 m/s 2.98 m/s 5.17 m/s
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2. A simple pendulum is suspended from the ceiling by means of a string. this time of length 2.33 m, which you release from rest at an angle of 45.4 degrees to the vertical. What will be the speed of the pendulum at the instant it reaches an angle of 36.3 degrees above the vertical?
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2.18 m/s |
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3.69 m/s |
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2.98 m/s |
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5.17 m/s |

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- 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 m x = 01. 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/s2. 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?
- 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 ВThis, the length of the pendulum is 1.89 m. Now you start with the pendulum at 8.5 degrees with respect to the vertical, but rather than releasing it from rest, you give it a push downward. It swings to the other side, and reaches a maximum angle of 42.5 degrees with respect to the vertical. What must have been the initial speed of the pendulum just after you pushed it? 4.99 m/s 3.06 m/s 3.12 m/s 0.64 m/sThis, the length of the pendulum is 1.58 m. Now you start with the pendulum at 20.6 degrees with respect to the vertical, but rather than releasing it from rest, you give it a push downward. It swings to the other side, and reaches a maximum angle of 34.3 degrees with respect to the vertical. What must have been the initial speed of the pendulum just after you pushed it? 1.41 m/s 3.71 m/s 1.85 m/s 2.32 m/s
- k=5.00 N/m Point 1 Spring relaxed x=0 Point 2 mi | V₁x=0 X1= 0.100 m /// 1 m=0.200 kg* X₂=0.080 m 2x immm 5. A cart with mass m=0.2 kg sits on a frictionless horizontal track. The cart is attached to a spring which is fixed to the end of the track. The spring has spring constant k = 5 N/m. The cart starts at x=0 cm, where the spring is at the rest length. You pull on the cart, stretching the spring 10 cm beyond the rest length (x = 10 cm), then release the cart from rest. The spring pulls the cart back towards the original equilibrium position. a.) What was the energy of the system just before the cart is released (Point 1 picture)? b.) What is the speed of the cart at x = 8 cm (Point 2 picture)? c.) What is the speed of the cart when it passes through the equilibrium point (x=0)?3. A simple pendulum is suspended from the ceiling by means of a string of length 1.60 m. Now you start with the pendulum at 16.6 degrees with respect to the vertical, but rather than releasing it from rest, you give it a push downward. It swings to the other side, and reaches a maximum angle of 55.4 degrees with respect to the vertical. What must have been the initial speed of the pendulum just after you pushed it? 4.78 m/s 3.50 m/s 3.68 m/s 1.14 m/sI want full solution.
- A 0.350 kg potato is tied to a string with length 2.80 m, and the other end of the string is tied to a rigid support. The potato is held straight out horizontally from the point of support, with the string pulled taut, and is then released. What is the speed of the potato at the lowest point of its motion? Take free fall acceleration to be 9.80 m/s2.A 0.80 kg object tied to the end of a 2.0 m string swings as a pendulum. At the lowest point of its swing, the object has a kinetic energy of 10 J. Determine the speed of the object in m/s at the instant when the string makes an angle of 50° with the vertical. O 4.4 O 5.6 5.0 3.3 O6.1A pendulum is made by letting a 3.0-kg object swing at the end of a string that has a length of 2.0 m. The maximum angle the string makes with the vertical as the pendulum swings is 30°. What is the speed of the object at the lowest point in its trajectory? Question 3 options: 1.9 m/s 2.3 m/s 2.0 m/s 2.2 m/s 2.1 m/s