A bullet of mass 10gm is fired from a gun of mass 1kg with a velocity of 100m/s. calculate the ratio of kinetic energy of the bullet and the gun.
To calculate the ratio of kinetic energy of the bullet and the gun, we need to first find the kinetic energy of both the bullet and the gun, and then divide them.
The kinetic energy (KE) is given by the formula:
KE = (1/2) * m * v^2
where m is the mass of the object and v is the velocity.
For the bullet:
m_bullet = 10 g = 10/1000 kg = 0.01 kg
v_bullet = 100 m/s
KE_bullet = (1/2) * m_bullet * v_bullet^2
= (1/2) * 0.01 kg * (100 m/s)^2
= 0.5 J
For the gun:
m_gun = 1 kg
v_gun = 0 m/s (since the gun doesn't move when the bullet is fired)
KE_gun = (1/2) * m_gun * v_gun^2
= (1/2) * 1 kg * (0 m/s)^2
= 0 J
Now, to calculate the ratio of the kinetic energy of the bullet and the gun, we divide the kinetic energy of the bullet by the kinetic energy of the gun:
Ratio = KE_bullet / KE_gun
= 0.5 J / 0 J
Since we cannot divide by zero, the ratio of the kinetic energy of the bullet and the gun is undefined.
To calculate the ratio of kinetic energy of the bullet and the gun, we need to determine the respective kinetic energies of each.
The kinetic energy (KE) of an object can be calculated using the formula:
KE = 1/2 * m * v^2
Where:
KE is the kinetic energy,
m is the mass of the object,
v is the velocity of the object.
Given information:
Mass of the bullet, mb = 10 gm = 0.01 kg
Mass of the gun, mg = 1 kg
Velocity of the bullet, vb = 100 m/s
Velocity of the gun, vg = 0 m/s (assuming the gun is stationary)
Now, let's calculate the kinetic energy of the bullet (KEb):
KEb = 1/2 * mb * vb^2
= 1/2 * 0.01 * 100^2
= 1/2 * 0.01 * 10000
= 500 joules
Next, we calculate the kinetic energy of the gun (KEg):
KEg = 1/2 * mg * vg^2
= 1/2 * 1 * 0^2
= 0 joules
The ratio of kinetic energy of the bullet to the gun can be calculated as:
Ratio = KEb / KEg
= 500 / 0
= undefined (as division by zero is undefined)
Therefore, in this case, the ratio of kinetic energy of the bullet and the gun is undefined, as the kinetic energy of the gun is zero.
start with conservation of energy.
massbullet*velocitybullet=massgun*Vgun
vgun= .010*100 /1kg= ....
Now, ratio of KE
kebullet= 1/2 m v^2= 1/2 (.01)(100^2)
kegun= 1/2 *1*Vbun^2