thanks!! A 10-m uniform beam of weight 100 N is supported by two ropes at the en

Question

thanks!!

A 10-m uniform beam of weight 100 N is supported by two ropes at the ends. If a 400-N person sits at 2.0 m from the left end of the beam, what is the tension in the left rope? How much pressure must a submarine withstand at a depth of 120.0 m? (1 atm = 1.013times105 Pa. Density of water = 1times10) kg/m3) A 13,000 N vehicle is to be lined by a 25 cm hydraulic piston. What force needs to be applied to a 5.0 cm diameter piston to accomplish this? An object weighs 7.84 N when it is in air and 6.86 N when it is immersed in water. What is the density of the object?

Explanation / Answer

9.)

From the torque balance about the rightmost point-

F(left)(10)-100(5) - 400(8)=0

F(left)=8(40)+50=320+50 = 370 N

10.)

At depth net pressure= 101300+dgh = 101300+9.8(120)(1000)=1176000+101300 = 1277300 pa

11.)

13000/(25 ^2) = F/(5^2) = F/25

F=13000/25 = 520 N

12.)

Let the density of the object be d and V be the volume

Thus dVg=7.84

Density of water = 1000 kg/cubic metres

Now after immersing the object in the water net weight = (d-1000)gV = dgV-1000gV

=6.86 N

1000gV = 0.98, gV = 0.98/1000

Thus d=7.84/(0.98/1000) = 8000 kg/cubic metres

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