A 10-gram [g] rubber ball is released from a height of 6 meters [m] above a flat surface on the moon. Gravitational acceleration on the moon is 1.62 meters per second squared [m/s2]. Assume that no energy is lost from frictional drag. What is the velocity, in units of meters per second [m/s], of the rubber ball the instant before it strikes the flat surface?
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- A 3 kg particle is traveling at 7i+3j+4k [m/s]. An impulse acts on the particle via a force of 11i+-17j+13k [N] which acts for 0.4 seconds. 1. What is the speed of the particle in the i-direction after the impact? [m/s] 2. What is the speed of the particle in the j-direction after the impact? [m/s] 3. What is the speed of the particle in the k-direction after the impact? [m/s]arrow_forwardYou have 4 springs, one each 3.5, 6, 8.5, 11 newtons per meter. How close an equivalent stiffness to the average of the four springs (7.25 newtons per meter [N/m]) can you make using only these springs? You may use all four springs to do this, but you may use less if that will yield an equivalent stiffness closer to the average.arrow_forwardA plastic bin with a volume of 1 gallon [gal] has a mass of 0.35 kilograms [kg] when empty and is sitting on a table in a warehouse. After the bin becomes partially filled, 1.3 pounds-force [lb] of force is applied to move the bin across the table, and the bin and its contents accelerate at a rate of 1.5 meters per second squared Ignore frictional losses. Determine the total weight of the bin and its contents in units of newtons [N].arrow_forward
- A cylindrical pipe with a cross-sectional radius r = 1.40[cm] is plunged into a l = 2.30[m] tall open water drum that is initially completely filled with water (pwater = 1000 [kg/m3]). The pipe goes h1 = 0.35 [m] above the drum before dropping down h2 = 3.50 [m] below the base of the drum as shown. The cross-sectional radius of the top side of the pipe is R = 2.20 [cm].A. How fast is the water going out of this pipe?B. What's the liquid's pressure at the top of the pipe? Assume that the system is exposed to 1.00 [atm] of air pressure.C. What's the maximum height the pipe can go above the drum before the water stops flowing out of the pipe? For liquid flow to be continuous, the liquid’s pressure must not fall before its vapor pressure. Assume that vapor pressure, in this case, is 2.30 [kPa].arrow_forwardOn average, a bolt of lightning provides 500 megajoules [MJ][MJ] of energy. Doctor Emmitt Brown’s flux capacitor needs 1.21 gigawatts [GW][GW] of power to his DeLorean DMC-12 time machine. How long in units of seconds [s][s] must the lightning bolt be in contact with the car to completely charge the flux capacitor? Assume 100% of the energy from the lightning is captured by the capacitor.arrow_forwardA truck driver was robbed while he was on his lunch break! At the first weigh station before lunch, the truck weighed 45,000 pounds-force [???][lbf]. At the second weigh station after lunch, which unfortunately reports weight in different units, the truck weighed 32.5 kips [???][kip]. The specific gravity of diesel fuel is 0.75. What is the volume of fuel stolen in units of gallons [???][gal]?arrow_forward
- You are considering the purchase of a slate pool table with a mass of 820 kilograms [kg]. The table is 90 inches [in] long, 45 inches [in] wide and 2.65 feet [ft] high. The game room where you hope to keep the pool table has a new tile floor. The tiles can withstand a maximum pressure of 1.5 atmospheres [atm] before being permanently damaged. The pool table is supported evenly on four (4) identical, cylindrical legs. What is the minimum required leg diameter in meters [m] to avoid permanent damage to the floor?arrow_forwardT1- Ambient tempeture [k] t- inside tempeture [k] hoo-convective heat transfer coefficient of the air [W/m^2*k] t-thickness of walls[m] Kthermal conductivity (W/m-K) -(VIP) d-cube size [m] Ai-cube area inside [m^2] Ao-cube area outside [m^2] Ts-surface tempeture[k][ E-emissivity aluminium foil - Stefan Boltzmann constant W·m-2 K-4 303 290 10 0.08 0.007 1 6 6.96 300 0.03 5.67E-08 Q heat flux [W] ΔΤ ΣR F T₁ 111.0 0000 006%arrow_forwardA probe on a dwarf planet collects 7 moles [mol] of dust material. The sample, which completely fills a cube with a side length of 5 centimeter [cm], weighs 0.18 newtons [N] on the dwarf planet. The density of the material is determined to be 3160 grams per liter [g/L]. Determine the gravity of the dwarf planet in units of meters per seconds squared [m/s*]. Click the icon to view the conversion table. Click the icon to view SI prefixes (numbers less than one). Click the icon to view SI prefixes (numbers greater than one). The gravity is m/s“. (Round your answer to three decimal places.)arrow_forward
- . To promote their new album, Black Pink decided to launch a satellite into orbit that will intercept all airwaves and play their songs worldwide. To do this, he needs to mount a 200 [kg] satellite onto an 850 [kg] rocket. It blasts off vertically from a launchpad with a constant net upward acceleration of 3.80 [m/s2]. When it has reached a height of 680 [m], the satellite was released, and the rocket blew up shortly after, due to a system failure. Assume that the satellite was not damaged after the explosion. (a) What is the maximum height that the satellite will reach above the launchpad? (b) How much time will elapse after system failure before the satellite comes crashing down the launch pad? (c) How fast will the satellite be moving just before it crashes?arrow_forwardA company has several sensors in storage silos to detect the total pressure in the silos to ensure the tanks will not leak. Each tank is designed to withstand a maximum total pressure of 5.8 atmospheres [atm]. An engineer wants to use one of the silos to store liquid nitric acid, which has a density of 97 pound-mass per cubic foot [lbm/ft3]. If the tank is filled to a depth of 80 feet [ft], how much surface pressure in units of atmospheres [atm] can be applied to the top of the liquid inside the tank without exceeding the maximum total pressure of the silo?arrow_forwardIn a factory, 12 gallons [gal] of a liquid need to be raised 30 feet [ft] to be loaded into a piece of equipment. During this process, the electric motor loses 700 watts [W] to heat while operating in a circuit that requires 15 amperes [A] of current and 110 volts [V]. The liquid has a total mass of 5 slugs [slugs] and the mass of the container is negligible. Determine the time required to lift the liquid in seconds [s].arrow_forward
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