A lead bullet with a mass of 8.50 g traveling at 4.80 x 102 m/s strikes a 2.00 kg block of wood and is embedded in it. Both the bullet and the block are initially at 25.0°C. Assume that no heat is lost to the surroundings and that all the kinetic energy of the bullet is converted into heat in the block. The specific heat capacity of wood is

2.1 J/g • K and the specific heat capacity of water is 4.18 J/g • K.

A. What is the kinetic energy of the bullet? (4 points)

B. How much energy does the block absorb? (2 points)
C. What is the final temperature of the block? (4 points)
D. If the bullet was shot into 2.00 kg of water at 25.0°C, rather than into the block of wood, would the final temperature of the water be greater or less than 25.2°C? (2 points)

Sorry, those are the questions...

To calculate the increase in temperature of the wooden block, we need to use the equation:

q = m * c * ΔT

where:
q is the heat transferred
m is the mass of the wooden block
c is the specific heat capacity of wood
ΔT is the change in temperature

First, let's calculate the heat transferred from the bullet to the block. We know that all the kinetic energy of the bullet gets converted into heat, so we can use the equation:

KE = 0.5 * m_bullet * v^2

where:
KE is the kinetic energy
m_bullet is the mass of the bullet
v is the velocity of the bullet

Given:
m_bullet = 8.50 g = 0.0085 kg
v = 4.80 x 10^2 m/s

Plugging in the values:

KE = 0.5 * 0.0085 kg * (4.80 x 10^2 m/s)^2

Next, let's calculate the heat transferred from the bullet to the block using the equation:

q = KE

Now, we have the heat transferred from the bullet to the block (in joules). We can use this value to find the change in temperature of the block.

Rearranging the equation:

q = m_block * c * ΔT

we can solve for ΔT:

ΔT = q / (m_block * c)

Given:
m_block = 2.00 kg
c_wood = 2.1 J/g • K

We need to convert the units of c_wood to J/kg • K since the mass is given in kg:

c_wood = 2.1 J/g • K x 1 kg / 1000 g = 0.0021 J/kg • K

Now we can calculate ΔT:

ΔT = q / (m_block * c_wood)

Remember to convert the mass of the bullet to kg if needed.

Finally, we have the change in temperature of the wooden block.