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Escaping from a tomb raid gone wrong, Lara Croft (m = 60.0 kg) swings across an alligator-ingested river from a 9.45-m-long vine. If her speed at the bottom of the swing is 5.30 m/s and she makes it safely across the river, what is the minimum breaking strength of the vine?
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- The figure shows a thin rod, of length L = 2.20 m and negligible mass, that can pivot about one end to rotate in a vertical circle. A heavy ball of mass m = 8.10 kg is attached to the other end. The rod is pulled aside to angle 00 = 8° and released with initial velocity V 0. (a) What is the speed of the ball at the lowest point? (b) Does the speed increase, decrease, or remain the same if %3D the mass is increased? 3.An inclined plane of angle 0 20.0° has a spring of force constant k = 525 N/m fastened securely at the bottom so that the spring is parallel to the surface as shown in the figure below. A block of mass m = 2.61 kg is placed on the plane at a distance d 0.315 m from the spring. From this position, the block is projected downward toward the spring with speed v = 0.750 m/s. By what distance is the spring compressed when the block momentarily comes to rest? Enter a number. differs from the correct answer by more than 10%. Double check your calculations. m mAn inclined plane of angle = 20.0° has a spring of force constant k = 495 N/m fastened securely at the bottom so that the spring is parallel to the surface as shown in the figure below. A block of mass m = 2.39 kg is placed on the plane at a distance d = 0.282 m from the spring. From this position, the block is projected downward toward the spring with speed v = 0.750 m/s. By what distance is the spring compressed when the block momentarily comes to rest? m www
- Ima Bratt is at the park with her father. The 20.0 kg Ima is on a swing following the path as shown below. Ima has a speed of 0 m/s at position A and is a height of 3.0 m above the ground. At position B, Ima is 1.0 m above the ground. At position C (2.0 m above the ground), Ima ejects from the swing seat and travels as a projectile along the path shown. At point F, Ima is a negligible distance above the ground. Assume negligible resistance throughout the motion. How much ME will Ima have at point E? ME- Mechanical EnergyTwo objects (m1 = 4.70 kg and m2 = 2.85 kg) are connected by a light string passing over a light, frictionless pulley as in the figure below. The 4.70-kg object is released from rest at a point h = 4.00 m above the table. answer all of the follwing parts (a) Determine the speed of each object when the two pass each other. m/s(b) Determine the speed of each object at the moment the 4.70-kg object hits the table. m/s(c) How much higher does the 2.85-kg object travel after the 4.70-kg object hits the table?Att = 0, force F-=(6.30i +6.10j +3.50k)N begins to act on a 2.90 kg particle with an initial speed of 3.60 m/s. What is the particle's speed when its displacement from the initial point is d = (1.60î + 2.80j + 7.80k) m ?
- A pendulum consists of a small object hanging from the ceiling at the end of a string of negligible mass. The string has a length of 0.79 m. With the string hanging vertically, the object is given an initial velocity of 2.8 m/s parallel to the ground and swings upward in a circular arc. Eventually, the object comes to a momentary halt at a point where the string makes an angle with its initial vertical orientation and then swings back downward. Find the angle 0. Number i UnitsA 28.0 kg child plays on a swing having support ropes that are 2.30 m long. A friend pulls her back until the ropes are 41.0° from the vertical and releases her from rest.Consider the track shown in the figure below. Section AB is a quadrant of a circle of radius r = 2.00 m and is frictionless. From B to C is a horizontal section 3.0 m long with a coefficient of kinetic friction μk = 0.250. The section CD under the spring is frictionless. A block of mass m = 1.00 kg is released from rest at A. After sliding on the track, the block compresses 0.200 m the spring. Determine (using conservation of energy): (a) the speed of the block at point B. (b) the thermal energy (internal energy) produced when the block slips from B to C. (c) the velocity of the block at point C. (d) the stiffness constant k for the spring.
- An inclined plane of angle e = 20.0° has a spring of force constant k = 520 N/m fastened securely at the bottom so that the spring is parallel to the surface as shown in the figure below. A block of mass m = 2.45 kg is placed on the plane at a distance d = 0.288 m from the spring. From this position, the block is projected downward toward the spring with speed v = 0.750 m/s. By what distance is the spring compressed when the block momentarily comes to rest?A simple pendulum, consisting of a mass of 8.691 kg, is attached to the end of a 3.23 m length of string. If the mass is held out horizontally, and then released from rest, the speed of the mass (in m/s) at the bottom of the swing is:A child of mass 25.0 kg tries to cross a river by swinging from a vine. The vine is 10.0 m long, and his speed at the bottom of the swing is 7.00 m/s. What is the tension in the vine at the lowest point? Your Answer: Answer Question 14 (3 points) units (Continue the above problem) What is the speed of the child at a point 1.00 meters above the bottom of the swing after passing it? ignore air resistance.