A 20.0 kg crate is pushed across a rough floor for a distance of 90.0 cm. When the force pushing the block is equal to 80.0 N and applied at an angle of 18.0 below horizontal to the block, the block moves at a constant speed of 2.10 m/s. What is the net force on the object?
Since the speed is constant, which does that say about the NET force?
Hint: You don't need any of the numbers you provided to answer that
Since it's constant, the net force is 0?
To find the net force on the object, we need to consider the forces acting on the crate. In this case, there are two forces: the applied force and the force of friction.
The applied force can be broken down into horizontal and vertical components. The horizontal component of the force will contribute to the motion of the crate, while the vertical component will not. The horizontal component of the applied force can be found by multiplying the magnitude of the force by the cosine of the angle:
F_horizontal = F_applied * cos(angle)
where F_applied is the magnitude of the applied force (80.0 N) and angle is the angle at which the force is applied (18.0 degrees).
F_horizontal = 80.0 N * cos(18.0 degrees)
F_horizontal = 73.285 N (rounded to three decimal places)
Since the crate is moving at a constant speed, we know that the net force acting on it is zero. Therefore, the force of friction must be equal in magnitude and opposite in direction to the applied force.
The force of friction can be calculated using the equation:
Friction = coefficient of friction * normal force
where the normal force is the force exerted by the floor on the crate. In this case, the normal force is equal to the weight of the crate, which can be calculated as:
Weight = mass * gravity
where the mass is 20.0 kg and gravity is approximately 9.8 m/s^2.
Weight = 20.0 kg * 9.8 m/s^2
Weight = 196.0 N
Now we can calculate the force of friction using the given coefficient of friction. However, the coefficient of friction is not provided in the question, so we cannot calculate the exact value of the force of friction.
Without the coefficient of friction, we cannot determine the exact value of the net force on the object. However, we know that the magnitude of the net force will be equal to the magnitude of the force of friction.