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A contestant in a winter sporting event pushes a 45.0-kg block of ice across a frozen lake as shown in the figure. Gine the coefficient of static friction to be μs = 0.1, and the coefficient of kinetic friction to be μk = 0.03

 

(a) Calculate the minimum force F he must exert to get the block moving. 

(b) What is the magnitude of its acceleration once it starts to move if that force is maintained? 

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Kath
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23 Feb 2021

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Related textbook solutions

Physics: Principles with Applications
7th Edition, 2013
Giancoli
ISBN: 9780321625922

Related questions

A contestant in a winter sporting event pushes a 45.0-kg block of ice across a frozen lake as shown in Figure 5.23(a). (a) Calculate the minimum force F he must exert to get the block moving. (b) What is the magnitude of its acceleration once it starts to move, if that force is maintained?

 

A block of mass m lies on a horizontal table. The coefficient of static friction between the block and the table is μs. The coefficient of kinetic friction is μk, with μk<μs.

Part A

If the block is at rest (and the only forces acting on the block are the force due to gravity and the normal force from the table), what is the magnitude of the force due to friction?

Part B

Suppose you want to move the block, but you want to push it with the least force possible to get it moving. With what force F must you be pushing the block just before the block begins to move?

Express the magnitude of F in terms of some or all the variables μs,μk, and m, as well as the acceleration due to gravity g.

Part C

Suppose you push horizontally with half the force needed to just make the block move. What is the magnitude of the friction force?

Express your answer in terms of some or all of the variables μs, μk, and m, as well as the acceleration due to gravity g.

Part D

Suppose you push horizontally with precisely enough force to make the block start to move, and you continue to apply the same amount of force even after it starts moving. Find the acceleration a of the block after it begins to move.

Express your answer in terms of some or all of the variables μs, μk, and m, as well as the acceleration due to gravity g.

A heavy sled is being pulled by two people. The coefficient of static friction between the sled and the ground is μs = 0.603, and the kinetic friction coefficient is μk = 0.451. The combined mass of the sled and its load is m = 306 kg. The ropes are separated by an angle , and they make an angle θ = 31.1° with the horizontal. Assuming both ropes pull equally hard, what is the minimum rope tension required to get the sled moving?

If this rope tension is maintained after the sled starts moving, what is the sled\'s acceleration?

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