A 2.9 kg brick has a kinetic coefficient of friction of 0.33. what force must be applied to the brick for it to move at a constant velocity?
Show work
M*g = 2.9 * 9.8 = 28.4 N. = Wt. of the
brick = Normal force, Fn.
Fk = u*Fn = 0.33 * 28.4 = 9.38 n. = Force of kinetic friction.
Fap-Fk = M*a.
Fap-9.38 = M*0 = 0.
Fap = 9.38 N.
To determine the force needed to move the brick at a constant velocity, we need to consider the force of friction acting against the motion of the brick.
The force of friction can be calculated using the formula: force of friction = coefficient of friction * normal force.
The normal force is the perpendicular force exerted by a surface, which in this case is equal to the weight of the brick, as there is no other vertical force acting on it.
The formula for weight is: weight = mass * gravitational acceleration.
Now let's calculate the normal force and the force of friction:
1. Calculate the weight of the brick:
weight = mass * gravitational acceleration
weight = 2.9 kg * 9.8 m/s^2
weight = 28.42 N
2. Calculate the force of friction:
force of friction = coefficient of friction * normal force
force of friction = 0.33 * 28.42 N
force of friction = 9.38 N
Since the brick is moving at a constant velocity, we know that the applied force must be equal in magnitude and opposite in direction to the force of friction:
force applied = -force of friction
force applied = -9.38 N (since friction opposes motion)
Therefore, the force that must be applied to the brick to move at a constant velocity is 9.38 N in the opposite direction of motion.
To find the force required to move the brick at a constant velocity, we need to use the equation:
F = μk * N
Where:
F is the force required (unknown)
μk is the kinetic coefficient of friction (given as 0.33)
N is the normal force exerted on the brick (dependent on the weight of the brick and the gravitational force)
To calculate the normal force, we use the equation:
N = m * g
Where:
m is the mass of the brick (given as 2.9 kg)
g is the acceleration due to gravity (approximately 9.8 m/s^2)
Let's substitute the values into the equations:
N = 2.9 kg * 9.8 m/s^2
N = 28.42 N
Now, substituting the values of μk and N into the force equation:
F = 0.33 * 28.42 N
F = 9.38 N
Therefore, the force required to move the brick at a constant velocity is approximately 9.38 Newtons.