a 2 kg rabbit starts from rest and is moving at 6 m/s after 3 seconds. What force must the rabbit cause to makes this change in speed?
a = (Vf-Vi) / t,
a = (6-0)/3 = 2m/s^2,
F = ma = 2 * 2 = 4N.
To calculate the force required for an object to change speed, we can use Newton's second law of motion, which states that the force acting on an object is equal to the mass of the object multiplied by its acceleration. In this case, we are given the initial and final velocities of the rabbit, as well as the time it takes for the change to occur.
First, let's find the acceleration of the rabbit using the equation:
acceleration = (change in velocity) / (time)
acceleration = (6 m/s - 0 m/s) / 3 s
acceleration = 2 m/s^2
Now that we have the acceleration, we can use Newton's second law to calculate the force:
force = mass * acceleration
force = 2 kg * 2 m/s^2
force = 4 N
Therefore, the rabbit must cause a force of 4 Newtons to make this change in speed.