A mass on a spring moving along the x-axis in simple harmonic motion starts from the equilibrium position, the origin, at t = 0 and moves to the right (consider the right to be the positive x direction). The amplitude of its motion is 3.00 cm and the frequency is 1.50 Hz. At what earliest time does this mass have the maximum positive acceleration (i.e. pointing in the positive x direction)?a. t = 0.500 seconds.b. t = 0.667 seconds.c. t = 1.50 seconds.d. t = 0.167 seconds.e. t = 0.314 seconds.

The spaceship Intergalactica lands on the surface of the uninhabited Pink Planet, which orbits a rather average star in the dista Garbanzo Galaxy. A scouting party sets out to explore. The party's leader—a physicist, naturally—immediately makes a determination of the acceleration due to gravity gpp on the Pink Planet's surface by means of a simple pendulum of length 1.30 m. She sets the pendulum swinging, and her collaborators carefully count 110 complete cycles of oscillation during 205 What does the party measure for gpp for the Pink Planet? gpp = m

A 1.3 kg block is attached to a spring with spring constant 13 N/m. While the block is sitting at rest, a student hits it with a hammer and almost instantaneously gives it a speed of 39 cm/s. Part A: What is the amplitude of the subsequent oscillations? Part B: What is the block's speed at the point where x=0.40 A?

Your grandfather clock's pendulum has a length of 0.9930 m. a. If the clock runs slow and loses 23 s per day, how should you adjust the length of the pendulum? Note: due to the precise nature of this problem you must treat the constant g as unknown (that is, do not assume it is equal to exactly 9.80 m/s2). Express your answer to two significant figures and include the appropriate units. Enter positive value in case of increasing length of the pendulum and negative value in case of decreasing length of the pendulum.

A mass m = 3.3 kg is at the end of a horizontal spring on a frictionless horizontal surface. The mass is oscillating with an amplitude A = 4.5 cm and a frequency f = 1.5 Hz. a. Write an equation for the spring constant k.  b. Calculate the spring constant k, in Newtons per meter.  c. Write an equation for the total mechanical energy, E, of the motion. Your expression should be in terms of the variables in the original problem statement.  d. Calculate the total mechanical energy E, in joules.

The spaceship Intergalactica lands on the surface of the uninhabited Pink Planet, which orbits a rather average star in the distan Garbanzo Galaxy. A scouting party sets out to explore. The party's leader-a physicist, naturally—immediately makes a determination of the acceleration due to gravity gpp on the Pink Planet's surface by means of a simple pendulum of length 1.30 m. She sets the pendulum swinging, and her collaborators carefully count 110 complete cycles of oscillation during 205 s What does the party measure for gpp for the Pink Planet? 8PP = TOOLS хтоу m/s

A mass m is attached to a spring with a spring constant k and undergoes simple harmonic motion. A mass m1 is now attached to m, and the period of oscillation is recorded as T1. The mass m1 is removed and a new mass m2 is attached to m, and the period of oscillation is recorded as T2. What are masses m, m1 and m2 if k = 100N/m, T1 = 2.13s, T2 = 1.55s and β ≡ m2/m1 = 0.40?

A block of mass 1.80 kg is attached to an ideal spring with spring constant 340 N/m, and it oscillates on a frictionless surface. As it passes through its equilibrium position (spring is neither stretched or compressed), it’s moving at 12.0 m/s. Part A. What is the amplitude of the block's oscillation? Part B. What is the maximum acceleration of the block during its osciation?

A 225 g mass attached to a horizontal spring oscillates at a frequency of 5.20 Hz. At t = 0s, the mass is at z = 5.80 cm and has v₂ = -29.0 cm/s. Mint 1. How to approacn the problem Express position as a function of time and use the equation to find the pha t = 0 s. Pay attention to the signs of the variables. фо 00 μA Value Units ?

4. A mass, m, is suspended from a vertically oriented spring, with constant, k. A downward impulse, J, is delivered to the mass, driving the spring-mass system into oscillatory motion. Express all answers in terms of given quantities and fundamental constants. a. What is the speed of the mass immediately after delivery of the impulse? Answer 4a: b. What is the amplitude of motion? Page 3 I 6 +