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frez [133]
2 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]2 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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Answer:

The distance the piece travel in horizontally axis is

L=3.55m

Explanation:

a=2 \frac{rev}{s^{2}} \\h=0.820m\\r = 0.125 m
\\d=150rev

d= 155 rev = 155(2\pi ) = 310\pi rad

a= 2.0 \frac{rev}{s^{2} } = 2.0(2\pi )  = 4.0\pi \frac{rev}{s^{2} }

d=d_{i}+vo*t+\frac{1}{2}*a*t^{2} \\ di=0\\vo=0\\d=\frac{1}{2}*a*t^{2}\\t=\sqrt{\frac{2*d}{a}}\\t=\sqrt{\frac{2*310 rad}{4\frac{rad}{s^{2}}}} \\t=12.449

w=a*t\\w=4\frac{rad}{s^{2}}*12.449s\\ w=49.79 \frac{rad}{s}

Now the angular velocity is the blade speed so:

V=w*r\\V=49.79 \frac{rad}{s}*0.175m\\V=8.7 \frac{m}{s}

assuming no air friction effects affect blade piece:

time for blade piece to fall to floor

t=\sqrt{\frac{2*h}{g}}\\t=\sqrt{\frac{2*0.820m}{9.8\frac{m}{s^{2} } }}\\t=0.409s

Now is the same time the piece travel horizontally

L=t*V\\L=0.409s*8.7\frac{m}{s}\\L=3.55m

blade piece travels  HORIZONTALLY = (24.5)(0.397) = 9.73 m  ANS

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