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Water is poured into a container that has a leak. The mass m of the water is given as a function of time t by m = 4.7t0.8 - 2.9t + 19, with t ? 0, m in grams, and t in seconds. (a) At what time is the water mass greatest, and (b) what is that greatest mass? In kilograms per minute, what is the rate of mass change at (c) t = 1.8 s and (d) t = 5.4 s?
A 53 kg springboard diver leaps from a 2m high board by bouncing until she has increased the energy in the board to 1040 joules. What is the maximum height above the water of the diver during her dive
A women's high-heeled shoe has an area of 0.5 cm2. Assuming that the woman wearing the shoe has a mass of 52 kg, what is the pressure that the heel exerts on the floor
An air puck of mass 0.250 kg is tied to a string and allowed to revolve in a circle of radius 1.14 m on a frictionless horizontal table. What is the speed of the puck
A horizontal force of 213 N is exerted on a 1.90 kg discus as it rotates uniformly in a horizontal circle (at arm's length) of radius 1.60 m. determine the time for one revolution of the discus. Round the answer to 2 decimal places.
An electric dipole is formed from +/-4.0 nC point charges spaced 3mm apart. The dipole is cantered at the origin, oriented along the y-axis. What is an electric field strength at point (x,y) = ( 6.0 cm, 0 cm)
How much energy is required to accelerate a spaceship with a rest mass of 128 metric tons to a speed of 0.403 c?
A boat can travel 2.20 m/s in still water. What will be the position of the boat, relative to its point of origin, after 3.00 s
A tourist being chased by an angry bear is running in a straight line toward his car at a speed of 5.47 m/s. The car is a distance d away, What is the maximum possible value for d
Assume that you wish to fabricate a uniform wire out of .60 g of copper. Assume the wire has a resistance R = 0.300 and all of the copper is used.
Starting from rest a wheel accelerates at a rate of 9.2 rad/s^2 for 5.61 s. Calculate the number of revolutions it makes in this time
A point charge is accelerated from rest through a potential difference of 150V and gains a speed V0, What speed (in terms of V0 ) would it gain if it were accelerated through 275V instead
A 0.498 kg air cart is attached to a spring and allowed to oscillate. Calculate the maximum kinetic energy of the cart
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