Related questions
Question
thumb_up100%
A horizontal spring with a spring constant of 20.0 N/m is attached to a 0.750 kg
mass on a horizontal, frictionless table. The mass is pulled until the spring is
stretched to 10.0 cm, then released at time t = 0 s.
At what time will the mass first pass the equilibrium position?
At what position is the block after 1.00 second?
How fast is it going when it passes the equilibrium position?
Expert Solution
arrow_forward
Introduction:
We are given extension in spring. This is the amplitude of oscillation. We find angular frequency and hence equation for Simple harmonic motion. We then find the time and position. We then find the speed at equilibrium position using conservation of energy.
Trending nowThis is a popular solution!
Step by stepSolved in 4 steps
Follow-up Questions
Read through expert solutions to related follow-up questions below.
Follow-up Question
In the first part, I'm confused about why pi/2 is used when solving for t.
Solution
by Bartleby Expert
Follow-up Questions
Read through expert solutions to related follow-up questions below.
Follow-up Question
In the first part, I'm confused about why pi/2 is used when solving for t.
Solution
by Bartleby Expert
Knowledge Booster
Similar questions
- A mass resting on a horizontal, frictionless surface is attached to one end of a spring; the other end is fixed to a wall. It takes 3.0 JJ of work to compress the spring by 0.13 mm . If the spring is compressed, and the mass is released from rest, it experiences a maximum acceleration of 12 m/s2m/s2. Find the value of the mass. Express your answer to two significant figures and include the appropriate units.arrow_forwardA spring-mass system has a spring with spring constant k=85.0 N/m and a 650.0 gram mass on the end of the spring. The surface supporting the mass is frictionless and there is negligible air resistance. When the system is first observed (at time t = 0), the spring is stretched 13.20 cm from its natural length and the velocity of the mass is 1.90 m/s in the +x direction. 1. What is the displacement function x(t) for this motion? 2. If the spring-mass system was placed in a chamber where the air resistance has a drag constant of b = 1.40, what is the frequency of the new system, in rad/s? Round to the nearest hundredth (0.01). Justify your answer using your rationale and equations used.arrow_forwardA 3 kg block attached to a spring with a spring constant of 9 N/m oscillates horizontally on a frictionless table. Its velocity is 7 m/s when x0 = 0.39 m. What is the block's maximum acceleration (in m/s^2)?arrow_forward
- 7. Two masses, m1 = 2 kg and m2 = 8 kg, are pressed onto identical springs (k = 2 × 104 N/m) so that the springs are each compressed by 10 cm. The masses are then released; they slide towards each other on a frictionless table and undergo an elastic collision. Find the speed of each mass before the collision. Find the speed of each mass after the collision. After the collision, m1 will rebound to the left and hit the spring again. How far will the spring compress before it momentarily comes to rest? m2 m,arrow_forwardA car with mass 1530 kg crashes into a wall. The car’s velocity immediately before the collision was 12.6 m/s and the bumper is compressed like a spring with spring constant 1.14 × 107 N/m. What is the maximum deformation of the bumper for this collision?Answer in units of m.arrow_forwardA 205 g object is attached to a spring that has a force constant of 76.5 N/m. The object is pulled 7.25 cm to the right of equilibrium and released from rest to slide on a horizontal, frictionless table. Calculate the maximum speed vmax of the object. Umax = m/s Find the locations of the object when its velocity is one-third of the maximum speed. Treat the equilibrium position as zero, positions to the right as positive, and positions to the left as negative. position: cm position: cmarrow_forward
- Questions a,b and carrow_forwardA 205 g object is attached to a spring that has a force constant of 74.5 N/m. The object is pulled 6.25 cm to the right of equilibrium and released from rest to slide on a horizontal, frictionless table. Calculate the maximum speed Umax of the object. Find the locations of the object when its velocity is one-third of the maximum speed. Treat the equilibrium position as zero, positions to the right as positive, and positions to the left as negative. position: Umax = cm position: m/s cmarrow_forwardA 0.650 kgkg block is attached to a spring with spring constant 14.0 N/mN/m. While the block is sitting at rest, a student hits it with a hammer and almost instantaneously gives it a speed of 46.0 cm/scm/s. What is the block's speed at the point where x=0.20 A?arrow_forward
arrow_back_ios
arrow_forward_ios