Agent Arlene devised the following method of measuring the muzzle velocity of a rifle (the figure below). She fires a bullet into a 4.169-kg wooden block resting on a smooth surface, and attached to a spring of spring constant k = 161.7 N/m . The bullet, whose mass is 7.870 g, remains embedded in the wooden block. She measures the maximum distance that the block compresses the spring to be 9.460 cm . What is the speed (v) of the bullet?

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Q: In the figure, block 2 (mass 1.40 kg) is at rest on a frictionless surface and touching the end of…

A: Given : m2 = 1.40 kg k = 261 N/m m1 = 1.50 kg v1 = 4.20 m/s

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A: mass of bullet (m) = 12 g mass of block (M) = 109 g Spring constant (k) = 144 Nmcompression in the…

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A: We will solve the problem by using the principle ofconservation of linear momentum and then the…

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Q: 15) A 1.0 kg ball is tied to the end of a 2.5 m string to form a pendulum. The pendulum is released…

A: Given information: The mass of the ball, m=1.0 kg The length of the string, L=2.5 m The mass of the…

Q: An AK47 (Kalashnikov Rifle) shoots bullets that have a mass of 7.90g. The design of the AK47 rifle…

A: Mass of the bullet is m = 7.90×10-³ kg  Mass of the block is M = 7.24 kg  K = 203000 N/m…

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A: Given that Mass of the bullet, m=5 g=5×10-3kg Velocity of the bullet before impact, u=410 m/s Mass…

Q: A rifle bullet with mass 8.00 gg strikes and embeds itself in a block with mass 0.992 kgkg that…

A: Analyze the following figure. 1) As per the conservation of energy, Here, the EBI and EAI…

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A: By conservation of mechanical energy, final potential energy of spring = initial kinetic energy of…

Q: A bullet with a mass m(b)=13.1 g is fired into a block of wood at velocity v(b)=261 m/s. The block…

A: Given, a bullet with a mass mb=13.1 g = 0.0131 kg is fired into a block of wood at velocity vb=261…

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

A: Given M = 1.7 kgm = 0.0054 Kg L = 2.91 mθ = 26°

Q: 5.00-g bullet moving with an initial speed of 400 m/s is fired into and passes through a 1.00-kg…

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Q: A massless spring (with force constant k = 190 N/m) connects a wall and a block of wood. The system…

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Q: In the figure, block 2 (mass 1.20 kg) is at rest on a frictionless surface and touching the end of…

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Q: A 12.0-g bullet is fired horizontally into a 114-g wooden block that is initially at rest on a…

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Q: A student proposes a design for an auto-mobile crash barrier in which a 1700-kg sport utility…

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Q: A 5.00-g bullet moving with an initial speed of v, = 460 m/s is fired into and passes through a…

A: Given data: Mass of the bullet, m =5.00 g =0.005 kg Initial speed vi =460 m/s Mass of the block, M…

Q: A rifle bullet with mass 4.00 gm strikes and embeds itself in a block with mass 0.996 Kg that rests…

A: Let m be the mass of the bullet and M be the mass of the block. Given:

Q: A 12.0-g bullet is fired horizontally into a 108-g wooden block that is initially at rest on a…

A:

Q: In the figure, block 2 (mass 1.20 kg) is at rest on a frictionless surface and touching the end of…

A:

Q: In the figure, block 2 (mass 1.20 kg) is at rest on a frictionless surface and touching the end of…

A: Mass of block 1(m1) =1.40 kg It's speed (V1) =3.30 m/s Mass of block 2(m2) =1.20 kg Block m1 sticks…

Q: A 12.0-g bullet is fired horizontally into a 107-g wooden block that is initially at rest on a…

A: according to the conservation of mechanical energy to block embedded bullet,…

Q: A 1.00 × 10−2-kg bullet is fired horizontally into a 2.50-kg wooden block attached to one end of a…

A: When the bullet strikes the block the combination results in a certain velocity based on, this speed…

Q: You have been asked to design a “ballistic spring system” to measure the speed of bullets. A bullet…

A: Given: The mass of the bullet is m The mass of the block is M Spring constant K

Q: A 12.0-g bullet is fired horizontally into a 114-g wooden block that is initially at rest on a…

A: Use law of conservation of the energy into block-bullet embedded system, the expression for find…

Q: A 12.0-g bullet is fired horizontally into a 116-g wooden block that is initially at rest on a…

A: Mass of bullet M = 12.0 g = 0.012 kg  Mass of block M' = 116 g = 0.116 kg Spring constant k = 159…

Q: 5.00-g bullet moving with an initial speed of 400 m/s is fired into and passes through a 1.00-kg…

A:

Q: A rifle bullet with mass 8.00 gg strikes and embeds itself in a block with mass 0.992 kgkg that…

A: 1. Let's calculate the spring constant. F=kxk=Fx=0.750 N0.0025 m=300 N/m

Q: In the figure, block 2 (mass 1.40 kg) is at rest on a frictionless surface and touching the end of…

A: Mass of block 2= M2 =1.40 kg  Mass of block 1=M1= 1.30 kg  Speed of block 1=V1= 3.10 m/s  Speed of…

Q: A 5.00 gram bullet into a 1.00 kg block attached to a spring [k=900 N/m]. The bullet emerges through…

A: Given that,             mass of bullet(m1)= 5gm            mass of block(m2) =1kg            spring…

Q: A 10.0 g bullet is fired into and embeds itself in a 2.30 kg block attached to a spring with a…

A: From Conservation of momentum ,m1u1+m2u2=(m1+m2)V0+(0.01×300)=(0.01+2.3)VV =1.3 m/sVelocity of the…

Q: A 10.0 g bullet is fired into and embeds itself in a 1.60 kg block attached to a spring with a…

A: Given that, Mass of a bullet, m = 10 g = 0.01 kg Mass of a block, M = 1.6 kg The spring constant of…