If a bullet is shot at velocity of 400 m/s and hits a copper plate, how much heat will be produced?

I do not know the mass of the bullet

but
energy = (1/2) m v^2

Oh thanks the mass was 50gm.So the Ek will be the heat?

To determine the amount of heat produced when a bullet hits a copper plate, we need to consider several factors such as the energy of the bullet, the mass of the bullet, the heat capacity of copper, and the kinetic energy transferred to heat energy upon impact.

Let's break down the steps to calculate the heat produced:

1. Calculate the kinetic energy (KE) of the bullet using the mass (m) and velocity (v) of the bullet. The formula for KE is:
KE = (1/2) * m * v^2

2. Determine the mass of the bullet. Assume a value, for example, m = 0.01 kg.

3. Calculate the energy transferred upon impact. When the bullet hits the copper plate, it transfers its kinetic energy into the copper, which will then turn into heat. Consider that the bullet comes to rest after impact, so all its kinetic energy is transferred.

4. Find the specific heat capacity (c) of copper. This value represents how much heat energy is needed to raise the temperature of 1 kg of copper by 1 degree Celsius. For copper, it is approximately 390 J/kg°C.

5. Using the formula: heat produced (Q) = m * c * ΔT, where ΔT represents the change in temperature, plug in the values calculated so far to compute the heat produced.

Remember that the accuracy of the calculation relies on assumptions made about the bullet's mass and other parameters. These values may vary in real situations, affecting the final result.