A moving object has a kinetic energy of 138 J
and a momentum of 23.9 kg·m/s.
a) Find the speed of the object.
Answer in units of m/s.
To find the speed of the object, you can use the formulas for kinetic energy and momentum. The kinetic energy of an object is given by the formula:
Kinetic Energy = (1/2) * mass * (speed)^2
where mass is the mass of the object and speed is its speed. The momentum of an object is given by the formula:
Momentum = mass * speed
Given that the kinetic energy is 138 J and the momentum is 23.9 kg·m/s, you can equate the two formulas:
(1/2) * mass * (speed)^2 = 138 J
mass * speed = 23.9 kg·m/s
From the second equation, you can solve for mass:
mass = momentum / speed
Substituting this into the first equation, you get:
(1/2) * (momentum / speed) * (speed)^2 = 138 J
Simplifying this equation, you get:
(momentum * speed) / 2 = 138 J
Solving for speed, you get:
speed = (2 * 138 J) / momentum
Substituting the given values, you can calculate the speed.