A massless spring (with force constant k = 192 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 = 56.6 g and is able to move without friction on a table. A gun is positioned to fire a bullet of mass m = 8.3 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 = 0.96 m.  In meters per second, what is the speed of the bullet v before it enters the block?

Q: In the ballistic pendulum shown below, the block has a mass of 1.7 kg, the bullet has a mass of…

A:

Q: A bullet of mass 10.2 g is fired into an initially stationary block and comes to rest in the block.…

A: Given that -  Mass  of the bullet Mass of the block After the collision velocity of the block To…

Q: A body of 2.0 kg moving to 3.0 m/s hits an object of 1.0 kg initially at rest. Immediately after the…

A: Figure representing the resolution of velocity vector of mass 2 Kg after the collision

Q: A block of mass m2 = 8.3 kg, at rest on a horizontal surface that has negligible friction, is…

A:

Q: The drawing shows a top view of a frictionless horizontal surface, where there are two springs with…

A: Spring constant of the spring =k= 250 N/m

Q: A block of mass m1 = 1.57 kg, initially moving to the right with a velocity of +3.69 m/s on a…

A:

Q: A bullet of mass 11.7 g is fired into an initially stationary block and comes to rest in the block.…

A:

Q: A block of mass m1 = 1.67 kg, initially moving to the right with a velocity of +4.02 m/s on a…

A:

Q: A rigid object of mass m, = 0.6 kg is fastened to a string L = 0.8 m long and is released when the…

A:

Q: A bullet of mass mm = 0.0010 kg embeds itself in a wooden block with mass M = 0.999 kg which then…

A:

Q: Bob is on a sled of mass 3500 kg moving at 32 m/s. Pong is on a sled of mass 4100 kg moving at 10…

A: Given: The mass of the bob with a sled is 3500 kg. The initial velocity of the bob with a sled is 32…

Q: A block of mass m1 = 1.47 kg, initially moving to the right with a velocity of +3.90 m/s on a…

A:

Q: Byoink! A pendulum of mass M₁ = 3.50 [kg] is released from rest at a height of 0.500 [m] from the…

A: Apply the energy conservation equation between the height and the ground for mass M1.

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: Problem 9: A baseball of mass mj = 0.39 kg is thrown at another ball hanging from the ceiling by a…

A:

Q: Two carts of masses m1= 0.5 kg and m2= 1.5 kg are resting on a horizontal surface. A massless spring…

A: Since you have asked a question with multiple sub-parts, the first three sub-parts will be answered…

Q: "A three particle system with with masses: m1 = 2.0 Kg, m2 = 4.0 Kg and m3 = 8.0 Kg. The position…

A: The center of mass is sum of product of individual mass and coordinates. The SI unit of center of…

Q: The vector position of a 3.85 g particle moving in the xy plane varies in time according to r1 = (3î…

A: Hello. Since your question has multiple sub-parts, we will solve the first three sub-parts for you.…

Q: A block of mass mi =1.57 kg, initially moving to the right with a velocity of 3.69 m/s on a…

A:

Q: A bullet of mass m=5g moving with an initial speed of 400 m/s is fired into and passes through a M=1…

A: Given Data: The mass of the bullet is, m = 5 g. The initial speed of the bullet is, u = 400 m/s.…

Q: An unstable atomic nucleus of mass 1.50 x 1026 kg initially at rest disintegrates into three…

A: When the external forces acting on a system of particles is zero, then the linear momentum of the…

Q: In the ballistic pendulum shown below, the block has a mass of 1.7 kg, the bullet has a mass of…

A: Given:-  The mass of the block is m = 1.7 kg.  The mass of the bullet is m = 0.0054 kg. The length…

Q: A gymnast jumps straight up, with her center of mass moving at 3.99 m/s as she leaves the ground.…

A: Let us consider a gymnast who jumps straight up with her moving center of mass at an initial speed…

Q: An object with mass m1 = 2m which moves on horizontal surface with constant speed v, collides with…

A: first mass = 2m second mass =  3m initial speed of first mass = v using conservation of momentum 2mv…

Q: The vector position of a 3.85 g particle moving in the xy plane varies in time according to r1 = (3î…

A: Mass of the first particle (m1),

Q: A ball of mass mm and another ball of mass 3m are placed inside a smooth metal tube with a massless…

A:

Q: bullet has a mass of 7.5 g. It is fired into a ballistic pendulum. The pendulums receiving block of…

A:

Q: A rigid object of mass m, = 0.6 kg is fastened to a string L = 0.8 m long and is released when the…

A: Given: Mass m1 = 0.6 kg. Length of string (L) = 0.8 m. Mass m2 = 2.0 kg. Kinetic friction (µk) =…

Q: 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.…

A:

Q: A 12-g bullet is fired into a 3.0 kg ballistic pendulum initially at rest and becomes embedded in…

A: Given : m1 = 12 g = 0.012 kg m2 = 3 kg v2,i = 0 h = 12 cm = 0.12 m

Q: A bullet of mass m=5g moving with an initial speed 400m/s of 400 m/s is fired into and passes…

A:

Q: In the figure, block 2 (mass 1.70 kg) is at rest on a frictionless surface and touching the end of…

A: Given information: Here, m1 and m2 are the mass of the block 1 and block 2 respectively and v1 and…

Q: A block having a mass of 0.80 kg is given an initial velocity v=1.2m/s to the right and collides…

A: Given: Mass of the block = 0.80 Kg The initial velocity of the block = 1.2 m/s Spring constant = k =…

Q: a) A bullet of mass 0.100 kg travels with a speed of 70.0 m/s. It impacts a block of mass 0.950 kg…

A: Apply momentum conservation on the bullet-block system, and solve for the speed of the combined…

Q: A block of mass m1 = 1.47 kg, initially moving to the right with a velocity of +3.90 m/s on a…

A: Hello. Since you have posted multiple questions and not specified which question needs to be solved,…

Q: A block having a mass of 1.0 kg is given an initial velocity v= 6 m/s to the right and collides with…

A:

Q: A car's suspension is modeled by the overdamped oscillator L=(D−1)(D−2)L=(D−1)(D−2).  (a) Find the…

A: Given: A car suspension of the overdamped oscillator

Q: Problem 9: A baseball of mass m, = 0.39 kg is thrown at another ball hanging from the ceiling by a…

A:

Q: The block of mass M moving on the frictionless horizontal surface collides with the spring of spring…

A:

Q: A toy rocket operates by having a spring-loaded tube which ejects a small model rocket when…

A: Consider the following figure. Initially at t1, the spring has the elastic potential energy in the…

Q: An unstable atomic nucleus of mass 1.50 x 10-26 kg initially at rest disintegrates into three…

A:

Q: Q19. A wooden block of mass m1 sits on a floor attached to a spring in its equilibrium position. A…

A:

Q: A mass m1 = 10.5 kg, with initial velocity V0 = 12.5 m/s, strikes a mass-spring system m2 = 7.25 kg,…

A:

Q: A pendulum of length L = 0.98 m hangs at rest with 2.0 kg bob. The string is of negligible mass. A…

A: The solution can be given as follows :-

Q: Two blocks of masses m1 = 1.60 kg and m2 = 2.10 kg are placed on a horizontal frictionless surface…

A: The potential energy stored in the spring is given as E=12kx2…

Q: A block of mass ?=3.70 kgm=3.70 kg slides along a horizontal table with velocity ?0=4.00 m/sv0=4.00…

A: