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Two children hang by their hands from the same tree branch. The branch is straight, and grows out from the tree trunk at an angle of 24.3° above the horizontal. One child, by a mass of 45.6 kg, is hanging 1.20 m along the branch from the tree trunk. The other child, with a mass of 35.7 kg, is hanging 2.13 m from the tree trunk. What is the magnitude of the net torque exerted on the branch by the children? Suppose that the axis is located where the branch joins the tree trunk and is perpendicular to the plane formed with the branch and the trunk.
A car moving at 10 m/s encounters a bump that has a circular cross-section with a radius of 30 m. What is the normal force exerted by the seat of the car on a 60-kg passenger
An engine with an output of 267.0 W has an efficiency of 39.0 %. It works at 9.00 cycles/s. How much heat is rejected each cycle
A light rope 5m long supports a 30kg mass against gravity. What is the mass per unit length of the rope
A wooden raft has a mass of 65 kg. When empty it floats in water (density 1000 kg/m3) with 41percent of its volume submerged. What mass of sand can be put on the raft without it sinking.
A projectile is fired horizontally from a gun that is 88-m above flat ground, emerging from the gun with a speed of 250m/s.
An aluminum cup contains 225 g of water and a 40-g copper stirrer, all at 27°C. compute the mass of the aluminum cup
Today's terrestrial background radiation is about 50 mrem/year, mainly due to the uranium and thorium decay chains, and potassium. The earliest evidence of life on earth was about 3.5 billion years ago.
An electric fan is running on HIGH. After the LOW button is pressed, the angular speed of the fan decreases to 83.8 rad/s in 1.75 s. Determine the initial angular speed of the fan
Analyze Trial Balance and indicate possible adjusting entries that might be necessary before an accurate set of financial statements could be prepared.
Suppose 1500 J of heat are added to 5.6 mol of argon gas at a constant pressure of 120 kPa. Calculate the change in volume of the gas
How should you quote the following measured value and associated error in the form xbest ± Δx?
determine the properties required amp show your work.substance given
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