The decay of a radioactive isotope can be theoretically modeled with the following equation, where C0 is the initial amount of the element at time zero and k is the decay rate of the isotope. Create a proper plot of the decay of isotope A [k = 1.48 hours]. Allow time to vary on the abscissa from 0 to = hours with an initial concentration of 10 grams of isotope A.
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- : +0 العنوان solle не A 4 A numn drawe water through 200 ۳/۱ ۲/۱ A heavy car plunges into a lake during an accident and lands at the bottom of the lake on its wheels as shown in figure. The door is 1.2 m high and 1 m wide, and the top edge of the door is 8 m below the free surface of the water. Determine the hydrostatic force on the door if it is located at the center of the door, and discuss if the driver can open the door, if not; suggest a way for him to open it. Assume a strong person can lift 100 kg, the passenger cabin is well-sealed so that no water leaks inside. The door can be approximated as a vertical rectangular plate. 8 m E ✓ Lakearrow_forwardTwo concentric plain helical springs of the same length are wound out of the samewire circular in cross section and supports a compressive load P. The inner springmean diameter 200 mm. Calculate the maximum stress induced in the spring if theconsists of 20 turns of mean dimeter 160 mm and the outer spring has 18 turns ofdiameter of wire is equal to 10 mm and Pis equal to 1000 N. (Take Ks=1)arrow_forwardt 1+2\xi pu +962гz P 1 A heavy car plunges into a lake during an accident and lands at the bottom of the lake on its wheels as shown in figure. The door is 1.2 m high and I m wide, and the top edge of the door is 8 m below the free surface of the water. Determine the hydrostatic force on the door if it is located at the center of the door, and discuss if the driver can open the door, if not; suggest a way for him to open it. Assume a strong person can lift 100 kg, the passenger cabin is well-sealed so that no water leaks inside. The door can be approximated as a vertical rectangular plate. 加 8 m 1.2 m Lake -20125 DI 750 x2.01 5 P 165 Xarrow_forward
- 11. If Sin(x+α) = 2Cos(x-a); prove that: tan x= 2- tana 1-2 tanaarrow_forward12. If Sin(x-a)= Cos(x+α); prove that: tan x=1.arrow_forward: +0 العنوان solle не A 4 A numn drawe water through 200 ۳/۱ ۲/۱ A heavy car plunges into a lake during an accident and lands at the bottom of the lake on its wheels as shown in figure. The door is 1.2 m high and 1 m wide, and the top edge of the door is 8 m below the free surface of the water. Determine the hydrostatic force on the door if it is located at the center of the door, and discuss if the driver can open the door, if not; suggest a way for him to open it. Assume a strong person can lift 100 kg, the passenger cabin is well-sealed so that no water leaks inside. The door can be approximated as a vertical rectangular plate. 8 m E ✓ Lakearrow_forward
- ۲/۱ - | العنوان A heavy car plunges into a lake during an accident and lands at the bottom of the lake on its wheels as shown in figure. The door 1.2 m high and 1 m wide, and the top edge of the door is 8 m below the free surface of the water. Determine the hydrostatic force on the door if it is located at the center of the door, and discuss if the driver can open the door, if not; suggest a way for him to open it. Assume a strong person can lift 100 kg, the passenger cabin is well-sealed so that no water leaks inside. The door can be approximated as a vertical rectangular plate. 8 m Lakearrow_forward- | A pump draws water through a 300-mm diameter cast iron pipe, 15m long from a reservoir in which the water surface is 4.5 m higher than the pump and discharges through a 250- mm diameter cast iron, 75 m long, to an elevated tank in which the water surface is 60 m higher than the pump. Q-0.25 m³/s. Considering f- 0.02 and the coefficients for minor head losses (k entrance 0.5, k bend 0.35, and K exit -0.5), compute the power of the pump. Kexit 250 mm dia 75 m Length 60 m العنوان 300 mm dia. 15 m Length -UZ kentrance 11421 Kpend osthor oster ۲/۱arrow_forwardA heavy car plunges into a lake during an accident and lands at the bottom of the lake on its wheels as shown in figure. The door is 1.2 m high and 1 m wide, and the top edge of the door is 8 m below the free surface of the water. Determine the hydrostatic force on the door if it is located at the center of the door, and discuss if the driver can open the door, if not; suggest a way for him to open it. Assume a strong person can lift 100 kg, the passenger cabin is well-sealed so that no water leaks inside. The door can be approximated as a vertical rectangular plate. 8 m m Lakearrow_forward
- ۲/۱ A pump draws water through a 300-mm diameter cast iron pipe, 15m long from a reservoir in which the water surface is 4.5 m higher than the pump and discharges through a 250- mm diameter cast iron, 75 m long, to an elevated tank in which the water surface is 60 m higher than the pump. Q = 0.25 m³/s. Considering f= 0.02 and the coefficients for minor head losses (k entrance = 0.5, k hend 0.35, and K exit -0.5), compute the power of the pump. 4.5 m 300 mm dia. 15 m Length 250 mm dia. 75 m Length kentrance kexit 60 m kbend ostherarrow_forwardA pump draws water through a 300-mm diameter cast iron pipe, 15m long from a reservoir in which the water surface is 4.5 m higher than the pump and discharges through a 250- mm diameter cast iron, 75 m long, to an elevated tank in which the water surface is 60 m higher than the pump. Q = 0.25 m³/s. Considering f= 0.02 and the coefficients for minor head losses (k entrance = 0.5, k hend = 0.35, and K exit 0.5), compute the power of the pump. = 4.5 m 300 mm dia. 15 m Length 250 mm dia. 75 m Length Kentrance kexit 60 m kbendarrow_forwardA pump draws water through a 300-mm diameter cast iron pipe, 15m long from a reservoir in which the water surface is 4.5 m higher than the pump and discharges through a 250- mm diameter cast iron, 75 m long, to an elevated tank in which the water surface is 60 m higher than the pump. Q = 0.25 m³/s. Considering f= 0.02 and the coefficients for minor head losses (k entrance = 0.5, k hend = 0.35, and K exit 0.5), compute the power of the pump. = 4.5 m 300 mm dia. 15 m Length 250 mm dia. 75 m Length Kentrance kexit 60 m kbendarrow_forward
- Principles of Heat Transfer (Activate Learning wi...Mechanical EngineeringISBN:9781305387102Author:Kreith, Frank; Manglik, Raj M.Publisher:Cengage Learning