Calculate the acceleration of the block

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To calculate the acceleration of a 0.5 kg block being pushed up a chalkboard with an applied force of 6.0 N upward and 2.0 N inward, the force of friction must first be determined using the coefficient of kinetic friction of 0.4. The normal force, which is the inward force, is essential for calculating friction, leading to the equation F_friction = μN. After calculating the force of friction, the net force acting on the block can be established by subtracting the frictional force from the applied force. Finally, applying Newton's second law (F = ma) will yield the acceleration of the block.
raman911
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A 0.5 kg block is being slid up a chalkboard with an applied force of 6.0 N upward and 2.0 N inward towards the board. If the coefficient of kinetic friction is 0.4.

a) Calculate the force of friction.

b) Calculate the acceleration of the block.F = mju R [ F = u R]

1. F/u = 6/0.4 = 15N ?

2. F = ma ... 6/0.5 = a = 12m/s^2

not sure... some1 back me up on this!
 
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If you would like help, show what you've done so far--per PF rules.

Start by identifying all the forces acting on the block.
 
Doc Al said:
If you would like help, show what you've done so far--per PF rules.

Start by identifying all the forces acting on the block.
F = mju R [ F = u R]

1. F/u = 6/0.4 = 15N ?

2. F = ma ... 6/0.5 = a = 12m/s^2

not sure... some1 back me up on this!
 
Show us your attempts at solving this problem first.
 
e(ho0n3 said:
Show us your attempts at solving this problem first.

2. (6-(2*0.4))/0.5= 10.4 upwards w.r.t board.

(6-(2*0.4)-(0.5*9.8))/0.5=0.6 upwards w.r.t ground.
 
raman911 said:
F = mju R [ F = u R]
I assume F is the friction force? So what is R?
 
Doc Al said:
I assume F is the friction force? So what is R?

sorry
mean Fn
 
Doc Al said:
If you would like help, show what you've done so far--per PF rules.

Start by identifying all the forces acting on the block.

can u help now
 
  • #10
Seems like you have several versions of solutions. Approach it systematically: What forces act on the block? What's the force of friction?
 
  • #11
Doc Al said:
Seems like you have several versions of solutions. Approach it systematically: What forces act on the block? What's the force of friction?

can u help me
which formula i need to use first one
 
  • #12
For (1), use the formula you've already stated, F=uN. Do you know what force N is in this case? (I think you were calling in R in your first post)
 
  • #13
hage567 said:
For (1), use the formula you've already stated, F=uN. Do you know what force N is in this case? (I think you were calling in R in your first post)
I AM NOT SURE
CAN U DO THAT.
 
  • #14
N is the normal force. The block is being pushed against a vertical wall. So which of the two forces you were given in the question is holding the block on the wall? That is the force you need to use to find the force of friction.
 
  • #15
hage567 said:
N is the normal force. The block is being pushed against a vertical wall. So which of the two forces you were given in the question is holding the block on the wall? That is the force you need to use to find the force of friction.

i need help in B
 
  • #16
raman911 said:
i need help in B
So you have finished A and correctly calculated the force of friction? If so, good.

To solve B, identify all the forces acting on the block. Then find the net force and use that to calculate the acceleration via Newton's 2nd law.
 
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