A contestant in a winter sporting event pushes a 45-kg block of ice across a frozen lake as shown in the figure. The coefficient of static friction between the block and ice is μs= 0.1, and the coefficient of kinetic friction is μk= 0.03. θ= 25° as shown. (a) Write Newton's Second Law along the y-axis by adding all forces in the y-direction including their signs. Fy,net = F × _ + N × _ + mg × = 0 Using (1) to solve for N (b) N=mg+ _ (c)Write Newton's Second Law along the x-axis by adding all forces in the x-direction including their signs when the block is not moving. Note: fs is the force of static friction. Fnet,x = F × _ + fs × _ = 0 (e) Calculate the minimum force Fmin that must be exerted to get the block moving using part (c). (g) What is the acceleration of the block once it starts to move if the force from part (e) is maintained?

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A contestant in a winter sporting event pushes a 45-kg block of ice across a frozen lake as shown in the figure. The coefficient of static friction between the block and ice is μs= 0.1, and the coefficient of kinetic friction is μk= 0.03. θ= 25° as shown.

(a) Write Newton's Second Law along the y-axis by adding all forces in the y-direction including their signs.

Fy,net =  F × _ + N × _ + mg × = 0

Using (1) to solve for N

(b) N=mg+ _

(c)Write Newton's Second Law along the x-axis by adding all forces in the x-direction including their signs when the block is not moving. Note: fs is the force of static friction.

Fnet,x = F × _ + fs × _ = 0 

(e) Calculate the minimum force Fmin that must be exerted to get the block moving using part (c).

(g) What is the acceleration of the block once it starts to move if the force from part (e) is maintained? 

Homework: Pushing a Block of Ice, Part 2
You have scored 4 out of 9.
1.
25
A contestant in a winter sporting event pushes a 45-kg block of ice across a frozen lake as shown in
the figure. The coefficient of static friction between the block and ice is u,= 0.1, and the coefficient
of kinetic friction is u= 0.03. e = 25° as shown.
(a) Write Newton's Second Law along the y-axis by adding all forces in the y-direction including their
signs.
Fy.net = Fx 1
X +N x1
vV+ mg x-1
v= 0 (1)
Using (1) to solve for N.
(b) N = mg+| Fcos25
()Write Newton's Second Law along the x-axis by adding all forces in the x-direction including their
signs when the block is not moving. Note: f; is the force of static friction.
Fnetx = Fx sin25
X+f; x-1
V -0 (2)
(d) What value of static friction should you use just before the block starts moving?
fsmax = O uk N
(e) Calculate the minimum force Fmin that must be exerted to get the block moving using part (C).
Hint: What value of static friction should consider in calculating the minimum force?
Fmin = 44,1
(g) What is the acceleration of the block once it starts to move if the force from part (e) is maintained?
Hint: Set-up Newton's Second law equations in the x and y directions, this time with non-zero
acceleration.
a = .686
OX m/s?
Transcribed Image Text:Homework: Pushing a Block of Ice, Part 2 You have scored 4 out of 9. 1. 25 A contestant in a winter sporting event pushes a 45-kg block of ice across a frozen lake as shown in the figure. The coefficient of static friction between the block and ice is u,= 0.1, and the coefficient of kinetic friction is u= 0.03. e = 25° as shown. (a) Write Newton's Second Law along the y-axis by adding all forces in the y-direction including their signs. Fy.net = Fx 1 X +N x1 vV+ mg x-1 v= 0 (1) Using (1) to solve for N. (b) N = mg+| Fcos25 ()Write Newton's Second Law along the x-axis by adding all forces in the x-direction including their signs when the block is not moving. Note: f; is the force of static friction. Fnetx = Fx sin25 X+f; x-1 V -0 (2) (d) What value of static friction should you use just before the block starts moving? fsmax = O uk N (e) Calculate the minimum force Fmin that must be exerted to get the block moving using part (C). Hint: What value of static friction should consider in calculating the minimum force? Fmin = 44,1 (g) What is the acceleration of the block once it starts to move if the force from part (e) is maintained? Hint: Set-up Newton's Second law equations in the x and y directions, this time with non-zero acceleration. a = .686 OX m/s?
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