You pull a simple pendulum of length 0.230 m to the side through an angle of 3.50° and release it. Part A For related problem-solving tips and strategies, you may want to view a Video Tutor Solution of A simple pendulum. How much time does it take the pendulum bob to reach its highest speed? Express your answer with the appropriate units. HẢ ? t = Value Units Submit Request Answer Part B How much time does it take if the pendulum is released at an angle of 1.75° instead of 3.50° ? Express your answer with the appropriate units. HÀ ?
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- A block with a mass m = 2.5 kg is pushed into an ideal spring whose spring constant is k = 4520 N/m. The spring is compressed x = 0.066 m and released. After losing contact with the spring, the block slides a distance of d = 2.25 m across the floor before coming to rest. a. Write an expression for the coefficient of kinetic friction between the block and the floor using the symbols given in the problem statement and g (the acceleration due to gravity). (Do not neglect the work done by friction while the block is still in contact with the spring.)A 2 kg mass is attached to a spring having a spring constant 8 N/m. The mass is started in motion from the equilibrium position with an initial velocity 1 m/s in the upward direction and with an applied external force F(t) = sin t. Find an expression for the displacement, x, of the mass from the equilibrium position if the force due to air resistance is - 10x N Plot x against time and interpret the main features of the graph.A 12-cm-long spring is attached to the ceiling. When a 1.5 kg mass is hung from it, the spring stretches to a length of 18 cm. Part A What is the spring constant k? Express your answer with the appropriate units. View Available Hint(s) k = Submit Part B y' = μᾶ Value Submit How long is the spring when a 3.0 kg mass is suspended from it? Express your answer with the appropriate units. View Available Hint(s) μà Units Value ? Units
- Part A After landing on an unfamiliar planet, a space explorer constructs a simple pendulum of length 55.0 cm. The explorer finds that the pendulum completes 96.0 full swing cycles in a time of 129 s What is the magnitude of the gravitational acceleration on this planet? Express your answer in meters per second per second. > View Available Hint(s) Tempiates Symbols undo rego Tését keyboard shortcuts Help 9planet m/s? Submit Prevlous AnawereIn a physics lab experiment, a compressed spring launches a 30 g metal ball at a 35° angle. Compressing the spring 18 cm causes the ball to hit the floor 2.0 m below the point at which it leaves the spring after traveling 6.0 m horizontally. Part A What is the spring constant? Express your answer with the appropriate units. ▸ View Available Hint(s) ī Submit μÀ k= Value Units ?Parts A-C
- Consider two pendulums with lengths l1 and I2. Express the ratio of their lengths //l2 in terms of periods T1 and T2. When submitting your answer please keep in mind that, for example T2/T2 must be written as "T1^2/T2". Please use the "Display response" button to check you entered the answer you expect. Display responseNeeds Complete typed solution with 100 % accuracy.12
- Two springs are attached end to end to a box of mass M as shown in the figure. Determine an expression that gives the period T of motion for the box attached to this combination of springs. The two individual springs have spring constants of k₁ and k₂, respectively. T = 2π Incorrect M wwwwwwwww M0.21 m 9planet = = T2 (0.92 s)² 2 9.8 m/s² Constants In this example we will use pendulum motion to actually measure the acceleration of gravity on a different planet. An astronaut on the surface of Mars measures the frequency of oscillation of a simple pendulum consisting of a ball on the end of a string. He finds that the pendulum oscillates with a period of 1.5 s. But the acceleration due to gravity on Mars is less than that on earth, 9Mars = 0.389 earth. Later, during a journey to another planet, the astronaut finds that his simple pendulum oscillates with a period of 0.92 s. What planet is he now on? He is on planet earth! REFLECT In principle, an astronaut can use this method to measure the acceleration due to gravity of any planet or satellite while traveling around the solar system. Part A Practice Problem: The acceleration due to gravity near the surface of a distant planet is about 3.6 m/s2. If the astronaut arrives there and swings the same pendulum bob, what will be the…Show FBD, Illustration