Answer :
The mass of the body is 20 kilograms.
To find the mass of the body using the given speed and kinetic energy, we can use the formula for kinetic energy:
Kinetic Energy Formula: The kinetic energy (KE) of an object is given by the formula:
KE = 1/2 * m * v²
where KE is the kinetic energy, m is the mass, and v is the velocity.
Given Values: From the problem, we have:
Kinetic Energy (KE) = 1000 joules
Velocity (v) = 10 m/s
Rearranging the Formula: To find the mass (m), we can rearrange the formula:
m = 2 * KE / v²
Substituting the Values: Plugging in the values:
m = 2 * 1000 J / (10 m/s)²
Calculating:
m = 2000 J / 100 m²/s²
m = 20 kg
Note: The complete question is:
Calculate the mass of a body whose speed is 10 m per second and its kinetic energy is 1000 joules?