Question

cleopatra needle, an ovelisk given by the egyptian government to great britian in the 19th century, is 20+m tall and has a mass of about 189,000 kg. suppose the monument is lowered onto its side and dragged horizontally to a new location. an applied force of 760,000 N is excerted on the monument, so that its net acceleration is 0.11 m/s2. what is the weight, the net force, the frictional force and the coefficient of friction phycis

Answer 1

To solve this problem, we can use Newton's second law and the equations of motion. First, let's calculate the weight of the Cleopatra's Needle, which is the mass multiplied by the acceleration due to gravity (9.81 m/s²):

Weight = mass × acceleration due to gravity
Weight = 189,000 kg × 9.81 m/s² ≈ 1,854,090 N

Next, let's calculate the net force acting on the monument using Newton's second law (F = m × a), where F is the force, m is the mass, and a is the acceleration:

Net Force = mass × acceleration
Net Force = 189,000 kg × 0.11 m/s² ≈ 20,790 N

The net force applied is 760,000 N, so the frictional force can be calculated by subtracting the net force from the applied force:

Frictional Force = Applied Force - Net Force
Frictional Force = 760,000 N - 20,790 N ≈ 739,210 N

The coefficient of friction (μ) can be calculated using the formula for frictional force (Frictional Force = μ × Normal Force). Since the normal force is equal to the weight of the monument:

μ = Frictional Force / Weight
μ = 739,210 N / 1,854,090 N ≈ 0.3987

So, the coefficient of friction is approximately 0.3987.

Answer 2

The weight of the Cleopatra Needle is equal to its mass multiplied by the acceleration due to gravity. The net force on the Cleopatra Needle can be calculated by multiplying its mass by the given acceleration. The frictional force is the difference between the applied force and the net force. The coefficient of friction can be calculated by dividing the frictional force by the normal force.

Step-by-step explanation:

To answer your question:

1. The weight of an object is the force of gravity acting on it. In this case, the weight of the Cleopatra Needle is equal to its mass multiplied by the acceleration due to gravity (9.8 m/s^2).
2. The net force on an object is equal to its mass multiplied by its acceleration. In this case, the net force on the Cleopatra Needle is equal to its mass multiplied by the given acceleration (0.11 m/s^2).
3. The frictional force is the force opposing the motion of an object. In this case, the frictional force can be calculated by subtracting the applied force (760,000 N) from the net force.
4. The coefficient of friction is a dimensionless quantity that represents the relationship between the frictional force and the normal force. It can be calculated by dividing the frictional force by the normal force.