A 39.0-kg child swings in a swing supported by two chains, each 2.92 m long. The tension in each chain at the lowest point is 428 N. (a) Find the child's speed at the lowest point. 7.59 Consider all the vertical components of force acting on the swing when it is at its lowest point and relate them to the acceleration of the swing at that instant. m/s (b) Find the force exerted by the seat on the child at the lowest point. (Ignore the mass of the seat.) 1238.59 Consider what exerts the force referred to in the question and how that is related to the various forces acting on the child. N (upward)
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- A ball of mass 0.5kg is tied to a string of length 1.0 meters, and the other end of the string is tied to a rigid support. The ball is held straight out horizontally and is then released. a) What is the speed of the ball at the lowest point of its motion? b) What is the tension in the string at its joint? Solution FBD and Formula RequiredEscaping 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?A 1120-kg car is being driven up a 7.03 ° hill. The frictional force is directed opposite to the motion of the car and has a magnitude of 490 N. A force F is applied to the car by the road and propels the car forward. In addition to these two forces, two other forces act on the car: its weight W and the normal force FN directed perpendicular to the road surface. The length of the road up the hill is 281 m. What should be the magnitude of F, in Newtons, so that the net work done by all the forces acting on the car is 188 kJ?
- 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.
- 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.A 2.0 kg ball at the end of a 1.8 m string swings in a vertical plane. At its lowest point the ball is moving with a speed of 16 m/s. (a) What is its speed (in m/s) at the top of its path? m/s (b) What is the tension (in N) in the string when the ball is at the bottom and at the top of its path? bottom of its path Ntop of its path N †
- A particle moves with a position as a function of time given by r(t) = 6 t i + -1 t2 j (m). One of the forces acting on the particle is given by F(t) = -10 t2 i + -4 t j (N). What is the power developed by this force 3 s into the journey, in W? (Please answer to the fourth decimal place - i.e 14.3225)Tarzan grabs a vine of length L=8.9 m and attempts to swing across the crocodile infested river. The vine breaks just as Tarzan is at lowest point of his swing, a horizontal distance D=60 m and H= 4.5 m above the riverbank. You barely mix it across, landing on the edge of the riverbank. The tension in the vine when it broke was a 1000 N. Find Tarzan's mass.A 25.0 cm long spring is hung vertically from a ceiling and stretches to 30.5 cm when a 6.50 kg mass is hung from its free end. HINT (a) Find the spring constant (in N/m). N/m (b) Find the length of the spring (in cm) if the 6.50 kg weight is replaced with a 165 N weight. cm