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A block of mass m = 2.00 kg is released from rest at h = 0.800 m from the surface of a table, at the top of a θ = 30.0° incline as shown below. The frictionless incline is fixed on a table of height H = 2.00 m.
(a) Determine the acceleration of the block as it slides down the incline.
(b) What is the velocity of the block as it leaves the incline?
(c) How far from the table will the block hit the floor?
(d) How much time has elapsed between when the block is released and when it hits the floor?

a bat flying in a cave emits a sound and receives it echo .2 s later. How far away is the cave wall? Assume the speed of sound to be 340 m/s. Answer in units of m.

1 kg of ice at -4°C was placed in a Styrofoam icebox of dimensions 60 cm x 30 cm x 30 cm and wall thickness 3 cm. Calculate how long it will take before the ice melts if the outside temperature is 30°C.
[ Lf(ice)= 335 kJ/kg; Cwater =4190 Jkg-1°C-1 ; k (Styrofoam) = 0.01 J.s-1 .m-1 . °C-1 ; Cice 2.09 Kj/(kg. °C).

Please provide a step by step solutions

An archer shoots an arrow into the air with an initial velocity of 75 feet per second. The initial height of the shot is 5 feet. The arrow strikes the ground precisely 200 feet from the archer. At what angle did the archer shoot the arrow?

Convert 23s into ms

2) A man walks 10 km towards west and then 15 km towards south. Find the resultant vectors, magnitude and direction.

If a ball is dropped what is the initial speed and acceleration? Please explain.

The position(x) of a body moving along x-axix at time (t) is given by x=3t2,where x is in metre and time t is in second.If mass of the body is 2kg ,then find the instantaneous power delivered to body by force acting on it at t=4sec.

If a tank fills between 5 and 6 millions bottles of water per day for 358 days/year and facility burned 928,226 gallons of diesel fuel in 2007 alone. Calculate the (ml) of diesel used up per bottle, stating any assumptions you make.

A half inch garden hose can discharge five hundred gallons of water per hour under normal water pressure conditions.

What is the velocity of water leaving the garden hose under these conditions, in ft/min?

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