1. A pendulum with a length of 30 cm swings back and forth as shown in...

1. A pendulum with a length of 30 cm swings back and forth as shown in the figure above, at each turn around point it stops and it starts accelerating until reaching maxium velocity at the botton (equilibrium position), at which point it starts slowing down. If the maximum angle is 11 degrees, what is its maximum velocity in m/s? (Use g = 10.0 m/s² and assume there is no friction).

2. A car (mass 955 kg) is traveling with a speed of 48 mi/h. A bug (mass 5 mg) is traveling in the opposite direction. What speed would the bug need in (millions of mi/h) in order to slow down the truck by 4 mile per hour in a big bug splash (i.e., final speed 44 mi/h)?

Expert Solution

genius_generous answered 2 years ago

A pendulum with a length of 35 cm swings back and forth as shown in the...

A pendulum with a length of 35 cm swings back and forth as shown in the figure above, at each turn around point it stops and it starts accelerating until reaching maxium velocity at the botton (equilibrium position), at which point it starts slowing down. If the maximum angle is 48 degrees, what is its maximum velocity in m/s? (Use g = 10.0 m/s2 and assume there is no friction)

A pendulum bob swings back and forth. Ignore air resistance. At point A, the potential energy is 15...

A pendulum bob swings back and forth. Ignore air resistance. At point A, the potential energy is 15 J and the pendulum bob is at a height of 1 meter. a) What is the mass of the pendulum bob? Show work by typing the equation and plugging in numbers. b) What is the total mechanical energy of the pendulum? Explain. c) At which point on the diagram will the maximum kinetic energy occur and what is the maximum kinetic energy of the...

A girl swings back and forth on a swing with ropes that are 4.00m long. The...

A girl swings back and forth on a swing with ropes that are 4.00m long. The maximum height she reaches is 2.10m above the ground. At the lowest point of the swing, she is 0.500m above the ground. What is the girl

A child swings back and forth on a rope every 5s without significant damping taking place....

A child swings back and forth on a rope every 5s without significant damping taking place. a. Create a position versus time graph of the child’s motion. b. Create a velocity versus time graph of the same child’s motion that corresponds to the previous graph. c. Create an acceleration versus time graph of the same child’s motion that corresponds to the previous graph. d. Create a restoring force versus time graph of the same child’s motion that corresponds to the...

Consider a simple plane pendulum of mass m and length l (the mass swings in a...

Consider a simple plane pendulum of mass m and length l (the mass swings in a vertical plane). After the pendulum is set into motion, the length of the string is decreased at a constant rate, ??/?? = −? = ?????. The suspension point remains fixed. (a) Compute the Lagrangian and Hamiltonian for the system. [4] (b) Compare the Hamiltonian and the total energy- is the energy conserved? Why/Why not? [2]

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3. An ambulance travels back and forth at a constant speed along a road of length...

3. An ambulance travels back and forth at a constant speed along a road of length L. At a certain moment of time, an accident occurs at a point uniformly distributed on the road. [That is, the distance of the point from one of the fixed ends of the road is uniformly distributed over (0, L).] Assuming that the ambulance’s location at the moment of the accident is also uniformly distributed, and assuming independence of the variables, compute (a) The...

You have a pendulum of 50 cm in length, and a spring that’s able to oscillate...

You have a pendulum of 50 cm in length, and a spring that’s able to oscillate back & forth with k = 20 N/m. What mass (in kg) should you attach to the spring to get them to oscillate at the same frequency?

on another planet a simple pendulum has a length of 90.0 cm oscillates with a period...

on another planet a simple pendulum has a length of 90.0 cm oscillates with a period of 1.7 seconds. 1. compute the planet’s accerleration due to gravity and comment on the planet’s gravity as compared to Earth’s gravity. 2. on this same planet. what would be the period of oscillation if the pendulum had a length of exactly 2.00 meters?

Q.1 A pendulum has a length 701 cm and damping constant k=0.4 .The bob is released...

Q.1 A pendulum has a length 701 cm and damping constant k=0.4 .The bob is released from rest at a starting angle of =0.2. Find the period of the equation of motion of the pendulum. Use g=9.8m/s^2. Express your answer in three decimal places. Q.2 A mass of 0.2kg stretches a spring by 9.8 cm. The damping constant is c=0.2 . External vibrations create a force of F(t)=0.8sin5t Newtons ,setting the spring in motion from its equillbrium position with zero...

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