Open Question
A 50,000 kg locomotive is traveling at 10 m/s when its engine and brakes both fail. How far will the locomotive roll before it comes to a stop? Assume the track is level.
7. Friction, Inclines, Systems
Stacked Blocks
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A 4kg block sits on top of a 6kg block which is on a frictionless surface. The coefficients of friction between the two blocks are μs=0.5 and μk=0.3. Calculate the maximum force you can pull on the bottom block with so that the objects move together.
A
49 N
B
19.6 N
C
3.27 N
D
4.9 N
Verified step by step guidance1
Identify the forces acting on the 4kg block: the gravitational force (weight) and the frictional force between the two blocks.
Calculate the gravitational force on the 4kg block using the formula: F_gravity = m * g, where m = 4kg and g = 9.8 m/s².
Determine the maximum static frictional force that can act on the 4kg block using the formula: F_friction_max = μs * F_normal, where μs = 0.5 and F_normal is the gravitational force calculated in the previous step.
Recognize that for the blocks to move together, the static frictional force must be equal to or greater than the force required to accelerate the 4kg block. Therefore, the maximum force you can apply to the 6kg block is equal to the maximum static frictional force.
Use the calculated maximum static frictional force to determine the maximum force that can be applied to the 6kg block without causing the 4kg block to slip.
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