A block of 2.0 kg oscillates on the end of a spring in SHM with a period of 20 ms [note units]. The position of the block is given by... y = 2.0cm * cos(ωt + π/2) Block 1 has a mass of 4.0 kg is travelling at 6.0 m/s and collides perfectly inelastically (stick together) with block 2 at t = 5.0 ms. Determine the amplitude of the oscillation (in cm) after the collision.
Q: A spring of negligible mass stretches 3.36 cm from its relaxed length when a force of 8.90 N is…
A: The value of force constant is, F=kxk=8.90.0336 =264.88 N/m The value of angular velocity, ω=km…
Q: A bullet having mass m and velocity v collides with a block at rest having mass M. Mass M is…
A:
Q: A 0.0106-kg bullet is fired horizontally into a 2.00-kg wooden block attached to one end of a…
A:
Q: A spring with a spring constant of 301 N/m is initially compressed by a distance of 0.065 m from its…
A:
Q: In the figure, block 2 of mass 2.40 kg oscillates on the end of a spring in SHM with a period of…
A: See below
Q: A box is attached to a spring and at rest at the equilibrium position of the spring when a bullet…
A: When the body is placed at the surface with coefficient of friction μ, the friction force is given…
Q: The figure shows block 1 of mass 0.230 kg sliding to the right over a frictionless elevated surface…
A: Conservation of linear momentum states that when two bodies of mass m1 and m2 moving with their…
Q: A 0.9-kg block B is connected by a cord to a 1.6-kg block A that is suspended as shown from two…
A: Approach to solving the question:Free body diagram and equation of motion of the block when the…
Q: rifle bullet with mass m = 0.030 kg traveling with a velocity v = 300.0 m/s buries itself in a 2.00-…
A: Given Mass of the rifle bullet is m = 0.030 kg velocity v = 300.0 m/s Mass of bob is M=2.00 kg…
Q: a) In terms of the variables given in the problem statement, find an equation for the speed of the…
A:
Q: In the figure, block 2 of mass 2.60 kg oscillates on the end of a spring in SHM with a period of…
A: Given : Mass of block 2, m1 = 2.60 kg position of block 2, x = (0.900cm)cos(ωt+π2) Time period of…
Q: An iron block with a mass m¡ = m/s. It collides with a copper block whose mass is m2 = 9.20 kg. The…
A:
Q: A spring of negligible mass stretches 3.46 cm from its relaxed length when a force of 5.40 N is…
A:
Q: A bullet with a mass mp = 12.7 g is fired into a block of wood at velocity vp = 257 m/s. The block…
A: We will solve the problem by using the principle ofconservation of linear momentum and then the…
Q: A block of mass M = 6.10 kg, at rest on a horizontal frictionless table, is attached to a rigid…
A:
Q: A spring of negligible mass stretches 3.46 cm from its relaxed length when a force of 5.40 N is…
A: Stretch in the spring is dx=3.46 cm = 0.0346 m Applied force is F = 5.40 N Mass of the particle is m…
Q: 0.0421 kg bullet is five horizontally into a 2.77 kg wooden block attached to one end of a mass…
A: Mass of bullet m= 0.0421 kg Mass of block M= 2.77 kg Spring constant K=897 N/m Amplitude A= 0.180m
Q: = A block of mass m2 4 kg oscillated on the end of a spring in simple harmonic motion with a period…
A: To solve this problem, we need to follow these steps:1. Determine the angular frequency (ω) of the…
Q: A 2.52 x 10-2-kg block is resting on a horizontal frictionless surface and is attached to a…
A:
Q: A 15.00-g bullet moving with an initial speed of 415 m/s is fired into and passes through a 1.25-kg…
A:
Q: A massless spring with spring constant k = 25 N/m is attached at one end of a block of mass M = 3.0…
A: spring constant (k) = 25 N/m M = 3 kg mb = 0.3 kg vo = 200 m/s
Q: The figure shows block 1 of mass 0.155 kg sliding to the right over a frictionless elevated surface…
A: Since the spring does not affect the collision, we can use the elastic collision equations.The mass…
Q: A block of mass M = 5.50 kg, at rest on a horizontal frictionless table, is attached to a rigid…
A: Given:Mass of the block = 5.50 kgSpring constant = 5730 N/mMass of bullet = 9.90 gInitial velocity…
Q: A spring with a spring constant of 303 N/m is initially compressed by a distance of 0.056 m from its…
A:
Q: A frictionless pendulum of mass m=1 kg and length L=1 m, gets released at t=0 from a distance x=0.12…
A:
Q: A 3.72 x 10-2-kg block is resting on a horizontal frictionless surface and is attached to a…
A: Write the given values with the suitable variables. m=3.72×10-2 kgk=125 N/mv=9.98 m/s Here, m, k,…
Q: A block of mass m2 = 10.0 kg, at rest on a horizontal surface that has negligible friction, is…
A: using conservation of momentum mu + MV = (m +M) v 14(3.2) + 10(0) = (14+10)v v = 1.87 m/s (combined…
Q: In the right figure, block 2 of mass 2.0 kg oscillates on the end of a spring in SHM with a period…
A: Given,The mass of block 1, m1 =4kgThe velocity of block 2, v2 = 6 m/sThe mass of block 2, m2…
Q: A 5.00-g bullet moving with an initial speed of v0 = 430 m/s is fired into and passes through a…
A:
Q: The figure shows block 1 of mass 0.175 kg sliding to the right over a frictionless elevated surface…
A: mass , M = 0.175 kg Speed , V1 = 7.75 m/s spring constant , k = 1238 N/m Time period , T = 0.125 s…
A block of 2.0 kg oscillates on the end of a spring in
y = 2.0cm * cos(ωt + π/2)
Block 1 has a mass of 4.0 kg is travelling at 6.0 m/s and collides perfectly inelastically (stick together) with block 2 at t = 5.0 ms. Determine the amplitude of the oscillation (in cm) after the collision.
Step by step
Solved in 3 steps with 3 images
- A spring with a spring constant of 383 N/m is initially compressed by a distance of 0.076 m from its equilibrium position. A mass of 0.038 kg is then held against the compressed spring and released from rest while upon a horizontal, frictionless surface. Assuming that the spring then pushes the mass across the surface, with speed does the mass leave the spring? Assume proper SI Units.Suppose a 78 kg person is bouncing on a bathroom scale which has a force constant of 1.25 × 106 N/m. What is the maximum velocity of the person, in meters per second, if the amplitude of the bounce is 0.235 cm? What is the maximum energy, in joules, stored in the spring?In the figure, block 2 of mass 2.40 kg oscillates on the end of a spring in SHM with a period of 12.00 ms. The position of the block is given by x = (1.80 cm) cos(wt+л/2). Block 1 of mass 4.80 kg slides toward block 2 with a velocity of magnitude 6.90 m/s, directed along the spring's length. The two blocks undergo a completely inelastic collision at time t = 3.00 ms. (The duration of the collision is much less than the period of motion.) What is the amplitude of the SHM after the collision? Number i Units k 00000
- What is the maximum velocity (in m/s) of a 51.0 kg person bouncing on a bathroom scale having a force constant of 1.35 ✕ 105 N/m if the amplitude of the bounce is 0.200 cm?Fig. P13.179 and P13.180 B |---| 13.180 A 5-kg sphere is dropped from a height of y = 3 m to test a new spring floor used in gymnastics. The mass of floor section B is 12 kg, and the sphere bounces back upward a distance of 44 mm. Knowing that the maximum deflection of the floor section is 33 mm from its equilibrium position, determine (a) the coefficient of restitution between the sphere and the floor, (b) the effective spring constant k of the floor section.Robert receives a parking ticket. Angry, he punches the No Parking sign with a constant force of 500 N, displacing the sign by 5.0 cm. The sign swings back and forth in SHM(simple harmonic motion) with a frequency of 4.5 Hz (4.5 cycles per second). i. Assuming he ends his punch at time t = 0 with the sign at rest at a position x = −5.0 cm, write an equation for the position of the sign as a function of time. ii. What is the maximum speed? iii. What is the effective spring constant (or stiffness constant) of the No Parking sign?
- A block of mass m2 = 7.5 kg, at rest on a horizontal surface that has negligible friction, is connected to a spring which is initially not stretched or compressed. The other end of the spring is fixed to a wall, and the spring constant is k = 180 N/m. Another block of mass m1 = 4.5 kg and speed v1=3.3 m/s collides with the 7.5 kg block. The blocks stick together, and compress the spring. What is the maximum compression of the spring?A 0.454-kg block is attached to a horizontal spring that is at its equilibrium length, and whose force constant is 23.0 N/m. The block rests on a frictionless surface. A 5.90×10−2-kg wad of putty is thrown horizontally at the block, hitting it with a speed of 8.96 m/s and sticking.How far does the putty-block system compress the spring?A block of 2.0 kg oscillates on the end of a spring in SHM with a period of 20 ms [note units]. The position of the block is given by... y = 5.2cm * cos(ωt + π/2) Block 1 has a mass of 4.0 kg is travelling at 6.0 m/s and collides perfectly inelastically (stick together) with block 2 at t = 5.0 ms. Determine the amplitude of the oscillation (in cm) after the collision.
- Problem 16: A massless spring (with force constant k = 182 N/m) connects a wall and a block of wood. The system is initially at rest, with the spring unstretched. The block has mass M = 50.1 g and is able to move without friction on a table. A gun is positioned to fire a bullet of mass m = 6.6 g into the block along the spring axis. After the gun is fired, the bullet gets embedded in the block, and the spring is compressed a maximum distance d = 0.97 m. Part (b) In meters per second, what is the speed of the bullet v before it enters the block? Part (c) What is the frequency f (in Hz) of the resulting periodic motion of the block/bullet and spring system?A spring with a spring constant 247 N/m is initially compressed by a distance of 0.044 m from its equilibrium position. A mass of 0.059 kg is then held against the compressed spring and released from rest while upon a horizontal, frictionless surface. Assuming that the spring then pushes the mass across the surface, with speed does the mass leave the spring? Assume proper SI Units.