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frez [133]
3 years ago
10

A block is pulled across a table by a constant force of 9.20 N. If the mass of the block is 2.30kg, how fast will the block be m

oving after 2.00 seconds? Assume negligible friction.
Physics
1 answer:
kaheart [24]3 years ago
5 0

Answer:

8\:\text{m/s}

Explanation:

From Newton's 2nd Law, we have \Sigma F=ma. Using this, we can find the acceleration of the object:

9.20=2.30a,\\a=\frac{9.20}{2.30}=4\:\mathrm{m/s^2}.

Now that we've found the block's acceleration, we can use the following kinematics equation to find its final velocity after 2 seconds:

v_f=v_i+at,\\v_f=0+4(2),\\v_f=\boxed{8\:\text{m/s}}

*Assumption: The block is initially at rest and has a initial velocity of zero. Otherwise, the question is unsolvable.

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A 50 Kg box sits at rest on a 30 degree ramp where the coef of static friction is 0.5773. If your push was directed at an angle
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<u>Given data:</u>

m= 50 Kg,

W= m×g = 50 × 9.81 = 490.5 N

ramp angle (α) = 30 degrees,

coefficient of friction (μs) = 0.5773,

Push at an angle (Θ) = 40 degrees,

Determine: Push to get box move up (P)=?

From the figure,

Resolving the forces along the plane

W sinα + μs.R = P cos Θ       --------------------- (i)

Resolving the forces perpendicular to the inclined plane

W cosα = R+Psin Θ  =>  R= W cosα - Psin Θ -------------- (ii)

Solving (i) and (ii) and keeping <em>μs = tan Φ, Φ = Θ </em>

<em>Pmin = W sin( α +Θ  )</em>

<em>          = W[ sin α.Cos Θ + cos α.sin Θ]</em>

<em>           = 490.5 [ (sin 30.cos40) + (cos30.sin 40)]</em>

<em>           = 460.9 N</em>

<em>Minimum push required to move the box up the ramp is 460.9 N</em>


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