A box rests on top of a flat bed truck. The box has a mass of m = 20 kg. The coefficient of static friction between thebox and truck is u, = 0.81 and the coefficient of kinetic friction between the box and truck is Hk = 0.62.1) The truck accelerates from rest to v; = 16 m/s in t = 12 s (which is slow enough that the box will not slide). What isthe acceleration of the box?m/s SubmitYou currently have O submissions for this question. Only 5 submission are allowed.You can make 5 more submissions for this question.2) In the previous situation, what is the frictional force the truck exerts on the box?N SubmitYou currently have 0 submissions for this question. Only 5 submission are allowed.You can make 5 more submissions for this question.3) What is the maximum acceleration the truck can have before the box begins to slide?m/s SubmitYou currently have O submissions for this question. Only 5 submission are allowed.You can make 5 more submissions for this question.4) Now the acceleration of the truck remains at that value, and the box begins to slide. What is the acceleration of thebox?m/s SubmitYou currently have O submissions for this question. Only 5 submission are allowed.You can make 5 more submissions for this question.5) With the box still on the truck, the truck attains its maximum velocity. As the truck comes to a stop at the next stoplight, what is the magnitude of the maximum deceleration the truck can have without the box sliding?m/s SubmitYou currently have O submissions for this question. Only 5 submission are allowed.You can make 5 more submissions for this question.

Name: A box rests on top of a flat bed truck. The box has a mass of m = 20
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Description: A box rests on top of a flat bed truck. The box has a mass of m = 20 kg. The coefficient of static friction between thebox and truck is u, = 0.81 and the coefficient of kinetic friction between the box and truck is Hk = 0.62.1) The truck accelerates

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University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter5: Newton's Law Of Motion

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Problem 89AP: In building a house, carpenters use nails from a large box. The box is suspended from a spring twice...

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A box rests on top of a flat bed truck. The box has a mass of m = 20 kg. The coefficient of static friction between the
box and truck is u, = 0.81 and the coefficient of kinetic friction between the box and truck is Hk = 0.62.
1) The truck accelerates from rest to v; = 16 m/s in t = 12 s (which is slow enough that the box will not slide). What is
the acceleration of the box?
m/s Submit
You currently have O submissions for this question. Only 5 submission are allowed.
You can make 5 more submissions for this question.
2) In the previous situation, what is the frictional force the truck exerts on the box?
N Submit
You currently have 0 submissions for this question. Only 5 submission are allowed.
You can make 5 more submissions for this question.
3) What is the maximum acceleration the truck can have before the box begins to slide?
m/s Submit
You currently have O submissions for this question. Only 5 submission are allowed.
You can make 5 more submissions for this question.
4) Now the acceleration of the truck remains at that value, and the box begins to slide. What is the acceleration of the
box?
m/s Submit
You currently have O submissions for this question. Only 5 submission are allowed.
You can make 5 more submissions for this question.
5) With the box still on the truck, the truck attains its maximum velocity. As the truck comes to a stop at the next stop
light, what is the magnitude of the maximum deceleration the truck can have without the box sliding?
m/s Submit
You currently have O submissions for this question. Only 5 submission are allowed.
You can make 5 more submissions for this question.

Expert Solution

Step 1

The acceleration of an object is defined as the time rate of change of its velocity, i.e.
$a = \frac{v - u}{t}$
where v is final velocity and u is the initial velocity.

The frictional force is a contact force that opposes the relative motion between two objects in contact.

The two types of friction are static friction and kinetic friction. Static friction is the one that acts when the frictional force is greater than the applied force. It is given as: $f_{s} = μ_{s} N$

and kinetic friction is the one when the friction force is less than the applied force and the object moves relative to the surface in contact and is given as: $f_{k} = μ_{k} N$

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