What is the magnitude of the momentum of a 10,000-kg truck whose speed is 12.0 m/s? What is the kinetic energy?
p = m v
Ke = (1/2) m v^2
To find the magnitude of the momentum of the truck, we can use the formula:
Momentum = mass × velocity
Given that the mass of the truck is 10,000 kg and the speed is 12.0 m/s, we can substitute these values into the formula:
Momentum = 10,000 kg × 12.0 m/s
Momentum = 120,000 kg·m/s
Therefore, the magnitude of the momentum of the truck is 120,000 kg·m/s.
To determine the kinetic energy, we can use the formula:
Kinetic Energy = (1/2) × mass × velocity^2
Substituting the given values:
Kinetic Energy = (1/2) × 10,000 kg × (12.0 m/s)^2
Kinetic Energy = (1/2) × 10,000 kg × 144 m^2/s^2
Kinetic Energy = 72,000,000 J (Joules)
Therefore, the kinetic energy of the truck is 72,000,000 Joules.
To find the magnitude of momentum, we can use the equation:
Momentum = Mass × Velocity
Given that the mass of the truck is 10,000 kg and its speed is 12.0 m/s, we can substitute these values into the equation:
Momentum = 10,000 kg × 12.0 m/s
To calculate the result, simply multiply the mass by the velocity:
Momentum = 120,000 kg·m/s
Therefore, the magnitude of the momentum of the 10,000 kg truck at a speed of 12.0 m/s is 120,000 kg·m/s.
To find the kinetic energy, we can use the equation:
Kinetic Energy = (1/2) × Mass × Velocity^2
Substituting the given values of mass and velocity into this equation:
Kinetic Energy = (1/2) × 10,000 kg × (12.0 m/s)^2
First, square the velocity:
Kinetic Energy = (1/2) × 10,000 kg × 144 m^2/s^2
Then, multiply the mass by the squared velocity:
Kinetic Energy = 72,000,000 J
Therefore, the kinetic energy of the 10,000 kg truck traveling at a speed of 12.0 m/s is 72,000,000 joules (J).