Work Done by Forces: Let's Calculate the Fun Work!
How can we calculate the work done by a force of 148 N?
Given a 19.6 kg block being displaced 64.7 meters over a rough surface with a coefficient of kinetic friction of 0.185, and a force of 148 N acting at an angle of 30.7 degrees above the horizontal, how do we find the work done by the 148 N force?
What about the work done by the force of friction?
Find the magnitude of the work done by the force of friction considering the given data.
Calculating Work Done by 148 N Force
To determine the work done by the 148 N force, we use the formula: W = F * d * cos(θ), where W is work, F is the force, d is the displacement, and θ is the angle with the horizontal. Since the force is acting at an angle, we find the horizontal component of the force by multiplying it with cos(30.7°). Then, we multiply this horizontal force component by the displacement of 64.7 meters to get the work done by the 148 N force in joules.
Calculating Work Done by Force of Friction
The work done by the frictional force is determined using the formula: W = μk * FN * d, where μk is the coefficient of kinetic friction, FN is the normal force, and d is the displacement. The normal force can be obtained by subtracting the vertical component of the applied force from the weight of the block. By calculating the normal force and utilizing the given displacement, we can find the work done by friction in joules.
Work Done by 148 N Force: To calculate the work done by the 148 N force, we first determine the horizontal component of the force by multiplying it with cos(30.7°): W = 148 N * 64.7 m * cos(30.7°) After performing the calculation, we obtain the work done by the 148 N force in joules.
Work Done by Force of Friction: Calculating the work done by the force of friction involves finding the normal force, which is the difference between the weight of the block and the vertical component of the applied force: FN = Weight of block - F * sin(30.7°) Once the normal force is determined, we can use it in the formula W = μk * FN * d to calculate the work done by friction in joules.