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4. A 10.0 kg object placed on a horizontal table is connected to a string that p

ID: 1874102 • Letter: 4

Question

4. A 10.0 kg object placed on a horizontal table is connected to a string that passes over a pulley and is then connected to a 15.0 kg o is 0.20, (a) find the acceleration of the two objects and (b) the tension in the string. bject. If the coefficient of kinetic friction between the black and the table 10 kg 15 kg A 400.0 N block is pushed across a frictionless surface by a 50.0 N force. If the force is applied at an angle of -35.0°, (a) what is the contact force exerted by the surface on the block and (b) what is the acceleration of the block? 5.

Explanation / Answer

Q: 4

lets develop equations on both the blocks:

15 a= 15 (g) - T---------------eq(1)

10 a = T - 0.20 ( 10 ) (g)--------------eq(2)

adding equations , we get

25 a= 15 g - 2g

a= 5.1 m/s^2

T = 15 (9.8 - 5.1) = 70.56 N

Q: 2

a) N =contact force =normal reaction=mg + F sin theta= 400 + 50 sin 35 = 428.678 N

b) ,ma= F cos theta

( 400/9.8) a= 50 cos 35

a= 1m/ s ^2

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