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Q1. Water runs into a fountain, filling all the pipes, at a steady rate of 7.57×10-2 m^3/s.
How fast would it shoot out of a hole 4.57 cm in diameter?
At what speed would it shoot out if the diameter of the hole is three times as large?
Q2. A ball is thrown from the top of a building upward at an angle of 39degrees to the horizontal and with an initial speed of 24m/s. The ball is thrown at a height of 57 m above the ground and hits the ground 98.55 m from the base of the building. What is the speed of the ball just before it strikes the ground? The acceleration due to gravity is 9.80m/s2.
Reply in units of m/s
A car travelling at 37 {rm m/s} runs out of gas while travelling up a 7.0{rm ^ {circ}} slope. How far would it coast before starting to roll back down.
A 2000-kg horizontal beam is supported at each end. A 160-kg load rests a quarter of the way from one end if the beam and 120 kg cargo is 1/3 from the other end. What is the vertical force on each of the supports.
What is pressure in the cylinder
After the NEAR spacecraft passed Mathilde, on some occasion's rocket propellant was expelled to adjust the spacecraft's momentum in order to follow a path that would approach the asteroid Eros, final destination for the mission.
An airplane has a mass of 20,000 kg and takes off under the control of a constant net force of 30,000 N. What is the net force that acts on the plane's 73 kg pilot.
A transverse electromagnetic plane wave with a frequency of 2.84 MHz travels directly away from you (- z direction). At time t = 0, your magnetic field detector measures a magnetic field of 4.57 × 10-8 Tesla pointing down (- y direction) that further..
How much work did the movers do (horizontally) pushing a 190-{rm kg} crate 11.2 m across a rough floor without acceleration, if effective coefficient of friction was 0.60.
An airplane pilot wishes to fly due west. A wind of 88.0 km/h is blowing toward the south. What is the speed of plane over the ground in km/h.
Perform the following unit conversions for parts (A) in the table below (B) through. Show your work using a step-wise approach.
A town is installing a new 10” main to carry drinking water. The only section remaining to be installed is a segment through the middle of town. Calculate the length of pipe required for the pipe system.
A certain particle has the life time of 10^-7 s, while measured at rest. How far does it go before decaying if its speed is 0.99 c when it is created.
One mole of nickel (6E23 atoms) has a mass of 54 grams, and its density is 8.9 grams per cubic centimeter. You have a long thin bar of nickel, 2.0 m long, with a square cross section, 0.12 cm on the side.
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