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A pomegranate is thrown from ground level straight up into the air at time t = 0 with velocity 64 feet per second. Its height at time t seconds is f(t) = -16t2 + 64t. Find the time it hits the ground and the time it reaches its highest point. What is the maximum height?
A shell is fired with a horizontal velocity in the positive x direction from the top of an 80-m high cliff. What is the speed of the shell as it hits the ground
A mercury thermometer has a bulb of volume 0.100 cm3 at 10oC. The capillary tube above the bulb has a cross-sectional area of 0.012 mm2, How much will the mercury rise when the temperature rises by 30oC
An airplane with a speed of 99.8 m/s is climbing upward at an angle of 43.2 ° with respect to the horizontal, Calculate the distance along the ground, measured from a point directly beneath the point of release
a particle of mass m is subject to the delta-function potential vx -alpha deltax with alpha gt 0. evaluate the
A nuclear power plant has a reactor that produces heat at the rate of870MW. This heat is used to produce260MW of mechanical power to drive an electricalgenerator. What is the thermal efficiency of the plant
A solid sphere ( moment of inertia, I=2/5MR^2) is rolling smoothly with a speed of 6.0m/s pom a horizontal surface. How fast will the sphere be rolling
A proton and an alpha particle (charge = 2e, mass = 6.64 10-27 kg) are initially at rest, separated by 2.30 10-15 m. What are both of their speeds at infinity
A helicopter flies over the arctic ice pack at a constant altitude,towing an airborne 102-kg laser sensor which measures the thicknessof the ice (see the drawing).
A solid sphere starts from rest at the upper end of the track, as shown in figure below, and rolls without slipping until it rolls off the right-hand end. If H = 13.0 m and h = 3.50 m and the track is horizontal at the right-hand end, how far hori..
A bicyclist rides 2.93 km due east, while the resistive force from the air has a magnitude of 8.55 N and points due west. Find the work done by the resistive force during the round trip
Consider a universe where the matter density is 0, and it has a significant cosmological constant lambda. Determine how old is the universe in this case
An aluminum rod is 17 centimeter long at 20°C and have a mass of 350 gram. If 14,000 Joule of energy is added to the rod by heat, determine what is the change in length of the rod
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