Question

I don't know how many times i've tried to get 2 & 3 but I keep getting them wrong

Forensic scientists can determine the speed at which a rifle fires a bullet by shooting into a heavy block hanging by a wire. As the bullet embeds itself in the block, the block and embedded bullet swing up; the impact speed is determined from the maximum angle of the swing.

1)

Which would make the block swing higher, a 0.204 Ruger bullet of mass 2.14 g and muzzle speed 1290 m/s or a 7-mm Remington Magnum bullet of mass 9.71 g and muzzle speed 948 m/s? Assume the bullets enter the block right after leaving the muzzle of the rifle.

Ruger bullet

Remington Magnum bullet

2)

Determine the mass of the block so that when hit by the bullet
it will swing through a 60.0∘∘ angle. The block hangs from wire of
length 1.45 m and negligible mass. *(Express your answer to
three significant figures.)*

kgkg

3)

What is the speed of an 8.56-g bullet that causes the block to
swing upward through a 30.0∘∘ angle? *(Express your answer to
three significant figures.)*

Answer #1

Problem can be solve as below,

gent Arlene devised the following method of measuring the muzzle
velocity of a rifle (the figure below). She fires a bullet into a
4.076-kgkg wooden block resting on a smooth surface, and attached
to a spring of spring constant kkk = 164.8 N/mN/m . The bullet,
whose mass is 7.870 gg, remains embedded in the wooden block. She
measures the maximum distance that the block compresses the spring
to be 9.460 cmcm .
(Figure 1)
What is the speed vv...

Agent Arlene devised the following method of measuring the
muzzle velocity of a rifle (the figure below). She fires a bullet
into a 4.032-kg wooden block resting on a smooth surface, and
attached to a spring of spring constant k = 160.2 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...

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