a 96 kg clock initially at rest on a horizontal floor requires a 605 N horizontal force to set it in motion. After the clock is in motion a horizontal force of 547 N keeps it moving with a constant velocity. the acceleration of gravity is 9.81 m/s2 find the static friction between clock and floor
Wc = mg = 96kg * 9.8N/kg = 940.8 n. =
Wt. of clock.
Fc = 940.8 N. @ 0o = Force of clock.
Fp = 940.8*sin(0) = 0 = Force parallel
to floor.
Fs = Force of static friction.
Fap-Fp-Fs = ma.
605-0-Fs = 96*0 = 0.
-Fs = -605
Fs = 605 N.
891.9
To find the static friction between the clock and the floor, we need to use the equation of motion:
Net force = mass × acceleration
In this case, the net force is equal to the force required to set the clock in motion, which is 605 N.
Net force = 605 N
The mass of the clock is 96 kg.
Mass = 96 kg
The acceleration is given by:
Acceleration = Net force / mass
Acceleration = 605 N / 96 kg
Acceleration ≈ 6.3021 m/s²
Since the clock is already moving with a constant velocity, the net force is zero. Therefore, the force of static friction between the clock and the floor will be equal and opposite to the applied force required to set it in motion.
Force of static friction = 605 N
Therefore, the static friction between the clock and the floor is 605 N.
To find the static friction between the clock and the floor, we can use the concept of Newton’s second law of motion. This law states that the net force acting on an object is equal to the mass of the object multiplied by its acceleration.
In this case, when the clock is initially at rest, a horizontal force of 605 N is needed to set it in motion. Therefore, the applied force (F_applied) is 605 N.
The equation for Newton’s second law is:
F_net = m * a
Where:
F_net is the net force acting on the object,
m is the mass of the object,
a is the acceleration of the object.
Since the clock is at rest before being set in motion, the net force is the force of static friction (F_friction) opposing the applied force:
F_net = F_applied - F_friction
Solving for the force of static friction:
F_friction = F_applied - F_net
To find F_net, we need to calculate the acceleration of the clock.
The clock is moving with a constant velocity, which means the net force is zero because there is no acceleration. Therefore:
F_net = 0
Now we can calculate the static friction:
F_friction = F_applied - F_net
F_friction = 605 N - 0 N
F_friction = 605 N
Therefore, the static friction between the clock and the floor is 605 N.