Block A of mass 4.00 kg moves along a horizontal surface, and collides elastically with block B, which is 7.00 kg and is initially at rest. Block B then reaches an elastic spring with spring constant k = 225 N/m, and compresses the spring a maximum distance of 0.65 m. Find the initial and final speeds of block A. (The surface is everywhere frictionless.) A B)

Block A of mass 4.00 kg moves along a horizontal surface, and collides elastically with block B, which is 7.00 kg and is initially at rest. Block B then reaches an elastic spring with spring constant k = 225 N/m, and compresses the spring a maximum distance of 0.65 m. Find the initial and final speeds of block A. (The surface is everywhere frictionless.) A B)

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter10: Systems Of Particles And Conservation Of Momentum

Section: Chapter Questions

Problem 40PQ: There is a compressed spring between two laboratory carts of masses m1 and m2. Initially, the carts...

See similar textbooks

Similar questions

A bullet of mass mm = 0.0010 kg embeds itself in a wooden block with mass M = 0.999 kg which then compresses a spring (k = 130 N/m ) by a distance x = 0.053 m before coming to rest. The coefficient of kinetic friction between the block and table is μ = 0.50. A. What is the initial velocity (assumed horizontal) of the bullet? B. What fraction of the bullet's initial kinetic energy is dissipated (in damage to the wooden block, rising temperature, etc.) in the collision between the bullet and the block?
A bullet of mass mm = 0.0010 kgkg embeds itself in a wooden block with mass MM = 0.999 kgkg, which then compresses a spring (kk = 130 N/mN/m ) by a distance xx = 0.053 mm before coming to rest. The coefficient of kinetic friction between the block and table is μμ = 0.50. A. What is the initial velocity (assumed horizontal) of the bullet? B. What fraction of the bullet's initial kinetic energy is dissipated (in damage to the wooden block, rising temperature, etc.) in the collision between the bullet and the block? |ΔKE|/KEi|ΔKE|/KEi =
1. An object of mass M = 2, 0 kg is attached to a spring of elastic constant k = 50 N/m which is compresseda distance d = 20 cm and then released from rest, Fig. 1(a). (a) Find the velocity of the object when ithas passed from the point where the spring is relaxed and the spring is stretched a distance of 10 cm. Assume that the massis moving horizontally, on a frictionless surface. (b) Show, from Hooke's law, that the functionx(t) = Acos(ωt + φ) is a possible solution for the motion of this block. Determine the constants of this function(A, ω, and φ) and use it to find out how long it takes the mass to go from the starting point with the spring compressed by20 cm to the point where the spring is stretched by 10 cm. (c) Write an equation for the velocity as a function oftime, using the same denition of t = 0 as in part (b). Use this equation to find the velocity (magnitudeand direction) when time is t = 3T/4 where T is the period of motion of the mass in the spring.
A rifle bullet with mass 8.00 gg strikes and embeds itself in a block with mass 0.992 kgkg that rests on a frictionless, horizontal surface and is attached to an ideal spring. The impact compresses the spring 15.0 cmcm. Calibration of the spring shows that a force of 0.750 NN is required to compress the spring 0.250 cmcm. (Figure 1) 1) Find the magnitude of the block's velocity just after impact. 2) What was the initial speed of the bullet?
A bullet with a mass ?b=12.3mb=12.3 g is fired into a block of wood at velocity ?b=257vb=257 m/s. The block is attached to a spring that has a spring constant ?k of 205205 N/m. The block and bullet continue to move, compressing the spring by 35.035.0 cm before the whole system momentarily comes to a stop. Assuming that the surface on which the block is resting is frictionless, determine the mass of the wooden block.
A block of mass m1 = 1.57 kg, initially moving to the right with a velocity of +3.69 m/s on a frictionless horizontal track, collides with a massless spring attached to a second block of mass m2 = 2.23 kg moving to the left with a velocity of −2.77 m/s,as shown in Figure a. The spring has a spring constant of 6.29 102 N/m. (a) Determine the velocity of block 2 at the instant when block 1 is moving to the right with a velocity of +3.00 m/s, as shown in Figure b. (Indicate the direction with the sign of your answer.) (b) Find the compression of the spring.
A block of mass m1 = 1.47 kg, initially moving to the right with a velocity of +3.90 m/s on a frictionless horizontal track, collides with a massless spring attached to a second block of mass m2 = 2.02 kg moving to the left with a velocity of −2.46 m/s, as shown in Figure a. The spring has a spring constant of 5.83 102 N/m. (a) Determine the velocity of block 2 at the instant when block 1 is moving to the right with a velocity of +3.00 m/s, as shown in Figure b. (Indicate the direction with the sign of your answer.) m/s(b) Find the compression of the spring. m Consider the instant that block 2 is at rest. (a) Find the velocity of block 1. (Indicate the direction with the sign of your answer.)v1f = m/s(b) Find the compression of the spring.x = m
A block of mass m1 = 1.47 kg, initially moving to the right with a velocity of +3.90 m/s on a frictionless horizontal track, collides with a massless spring attached to a second block of mass m2 = 2.02 kg moving to the left with a velocity of −2.46 m/s, as shown in Figure a. The spring has a spring constant of 5.83 102 N/m. (a) Determine the velocity of block 2 at the instant when block 1 is moving to the right with a velocity of +3.00 m/s, as shown in Figure b. (Indicate the direction with the sign of your answer.) -1.805 m/s(b) Find the compression of the spring.0.159 m Use the values from PRACTICE IT to help you work this exercise. Consider the instant that block 2 is at rest. (a) Find the velocity of block 1. (Indicate the direction with the sign of your answer.)v1f = m/s(b) Find the compression of the spring.x = m
A block of mass ?=3.70 kgm=3.70 kg slides along a horizontal table with velocity ?0=4.00 m/sv0=4.00 m/s. At ?=0x=0, it hits a spring with spring constant ?=43.00 N/mk=43.00 N/m and it also begins to experience a friction force. The coefficient of friction is given by ?=0.400μ=0.400. How far has the spring compressed by the time the block first momentarily comes to rest? Assume the positive direction is to the right.
Just do part (b) 2. A 1.2 kg cart moving at 6.0 m/s [E] collides with a stationary 1.8 kg cart. The head-on collision is completely elastic and is cushioned by a spring. a)Find the velocity of each cart after the collision. b)The maximum compression of the spring during the collision is 2.0 cm. Find the spring constant.
A 5.08×104 kgkg railroad car moves on frictionless horizontal rails until it hits a horizontal spring stopper with a force constant of 4.09×105 N/mN/m . When the railroad car comes to a complete stop, the compression of the spring stopper is 30 cmcm . How fast was the railroad car initially?
A block of mass m1 = 1.67 kg, initially moving to the right with a velocity of +4.02 m/s on a frictionless horizontal track, collides with a massless spring attached to a second block of mass m2 = 2.32 kg moving to the left with a velocity of −2.99 m/s, as shown in Figure a. The spring has a spring constant of 5.78 102 N/m. (a) Determine the velocity of block 2 at the instant when block 1 is moving to the right with a velocity of +3.00 m/s, as shown in Figure b. (Indicate the direction with the sign of your answer.) m/s(b) Find the compression of the spring. m