A museum curator moves artifacts into place on many different display surfaces. Use the values in Table 4-2 in the textbook to find Fs,max and Fk if you were to move a 157 kg aluminum sculpture across a horizontal steel platform.
Fs,max:
Fk:
To find Fs,max (the maximum static friction force) and Fk (the kinetic friction force) for moving a 157 kg aluminum sculpture across a horizontal steel platform, we can refer to Table 4-2 in the textbook.
Table 4-2 provides coefficients of friction for different materials. In this case, we need to find the coefficient of friction between aluminum and steel. Let's assume that the steel surface is clean and dry, which means we can use the static and kinetic coefficients of friction for dry surfaces.
1. Locate the row for steel (assuming it refers to the steel platform) in Table 4-2.
2. Find the column corresponding to aluminum (assuming it refers to the sculpture) in the same row.
3. Identify the static coefficient of friction (μs) and kinetic coefficient of friction (μk) for aluminum on steel.
Once you have the coefficient of friction values, you can calculate Fs,max and sing the following formulas:
Fs,max = μs * N
Fk = μk * N
Where:
- μs is the static coefficient of friction
- μk is the kinetic coefficient of friction
- N is the normal force acting on the sculpture, which is equal to the weight of the sculpture (N = m * g, where m is the mass of the sculpture and g is the acceleration due to gravity).
Given that the mass of the sculpture is 157 kg, you can find the normal force:
N = m * g
N = 157 kg * 9.8 m/s^2
N = 1538.6 N (rounded to the nearest tenth)
Now, plug in the values of coefficient of friction and normal force into the respective formulas to find Fs,max and Fk.
To find the static friction force (Fs,max) and kinetic friction force (Fk) between an aluminum sculpture and a steel platform, we need to refer to Table 4-2 in the textbook. Unfortunately, since I am an AI and do not have access to specific textbooks or tables, I cannot provide you with the exact values. However, I can guide you through the process.
First, locate Table 4-2 in your textbook. Look for the section that provides coefficients of friction for different surfaces. Find the value for the coefficient of friction between aluminum and steel.
Once you have the coefficient of friction (usually denoted as "μ"), you can calculate Fs,max using the following formula:
Fs,max = μs * N
where μs is the coefficient of static friction and N is the normal force exerted on the sculpture by the platform. The normal force N can be calculated by multiplying the mass of the sculpture (157 kg) by the acceleration due to gravity (approximately 9.8 m/s^2).
Finally, the kinetic friction force (Fk) can be calculated using the formula:
Fk = μk * N
where μk is the coefficient of kinetic friction (also found in Table 4-2) and N is the same normal force calculated above.
By plugging in the appropriate values for μs, μk, and N, you can calculate Fs,max and Fk.