8kg mass moving with a speed of 30 of 30ms-1 is brought to rest in 2.5sec, calculate the magnitude of the constant retarding force
force*time=changemomentum
force*time=8*30
solve for average retarding force.
To calculate the magnitude of the constant retarding force, 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:
Force = mass x acceleration
In this case, we know the mass of the object is 8 kg. To find the acceleration, we can use the equation of motion:
v = u + at
where:
v = final velocity (0 m/s, as the object comes to rest)
u = initial velocity (30 m/s)
a = acceleration
t = time taken (2.5 s)
Rearranging the equation, we get:
a = (v - u) / t
Substituting the values, we have:
a = (0 m/s - 30 m/s) / 2.5 s
a = -30 m/s / 2.5 s
a = -12 m/s^2
Since the object is brought to rest, the acceleration is negative, indicating deceleration or retardation.
Now, we can calculate the force using Newton's second law:
Force = mass x acceleration
Force = 8 kg x -12 m/s^2
Force = -96 N
Therefore, the magnitude of the constant retarding force acting on the mass of 8 kg is 96 N.