A force of 100N pulls a box of weight 200N along a smooth horizontal surface (angle 45) .
Calculate the power of the applied force.
It cant be determined without velocity, or time he pulled
power=work/time
To calculate the power of the applied force, we need to use the formula for power, which is:
Power = Force x Velocity
First, we need to find the velocity at which the box is being pulled. Since the box is being pulled along a smooth horizontal surface, there is no vertical acceleration. Therefore, the only force acting on the box is the applied force of 100N.
To calculate the velocity, we can use the equation of motion:
F = m * a
Where F is the net force acting on the object, m is the mass of the object, and a is the acceleration.
In this case, the net force acting on the box is the applied force of 100N minus the weight of the box, which is 200N (since weight = mass x gravity, and the weight is acting downward in this case):
Net force = Applied force - Weight
= 100N - 200N
= -100N
Since there is no vertical acceleration, the net force equals the mass of the object (m) times the horizontal acceleration (a):
-100N = m * a
Since the box is being pulled at an angle of 45 degrees, the horizontal acceleration is related to the applied force by:
a = (applied force * cos(angle)) / mass
= (100N * cos(45)) / (200N / 9.8 m/s^2)
= (100N * 0.7071) / (20.408 kg)
= 3.5364 m/s^2
Using this value of acceleration, we can calculate the velocity using another equation of motion:
v^2 = u^2 + 2 * a * d
Where v is the final velocity, u is the initial velocity (which is 0 in this case since the box starts from rest), a is the acceleration, and d is the distance over which the force is applied.
Since the box is pulled along a smooth horizontal surface, the distance over which the force is applied is not given. So, we cannot find the actual velocity or the power of the applied force without the distance.
Therefore, the answer to the question is that the power of the applied force cannot be calculated without knowing the distance over which the force is applied.