Answer:
20 kg
Explanation:
Kinetic energy=½*Mass * velocity²
4000= ½* m*20²
8000=400m
m=8000/400
m=20 kg
Answer:
(a) 99.865%
(b) 0.135%
Explanation:
Given that the weight of the boxes are normally distributed.
The average weight of the particular box,
ounce
The standard deviation of weight,
ounce.
Let 
be the standard normal variable,
And, the probability of the boxes having weight x ounces is
For 
,
(a) For the boxes having weight more than 24.5 ounces:
So, the probability of boxes for is
=0.99865
So, the percent of the boxes weigh more than 24.5 ounces is 99.865%.
(b) For the boxes having weight less than 24.5 ounces: z<-3
So, the probability of boxes for z<-3 is
=0.00135
So, the percent of the boxes weigh more than 24.5 ounces is 0.135%.
The percentage of the iceberg that is visible above the water's surface will be 11.5%.
<h3>What is density?</h3>
Density is defined as the mass per unit volume. It is an important parameter in order to understand the fluid and its properties. Its unit is kg/m³.
The mass and density relation is given as
mass = density × volume
Density of ice = 917 kg/m³
Density of the seawater=1025 kg/m³
The ratio by which the iceberg submerge is found as;
Hence,89.5 % of the ice is submerged.
The percentage of the iceberg that is visible above the water's surface is;
⇒1-.89.5 %
⇒11.55 %
Hence, the percentage of the iceberg that is visible above the water's surface will be 11.5%.
To learn more about the density refers to the link;
brainly.com/question/952755
Answer:
Gravitational potential energy to kinetic energy to gravitational potential energy to kinetic energy to gravitational potential energy.
Explanation:
Starting at its maximum displacement the pendulum will have only gravitational potential energy, its velocity being 0m/s. When released, it will lose height, losing then gravitational potential energy as it gains speed, or kinetic energy. When the pendulum is at its lowest the gravitational potential energy will be at its minimum and the kinetic energy at its maximum (and so its speed), with value equal to the original gravitational potential energy. Then it starts gaining height again, reverting this process, gaining gravitational potential energy and losing kinetic energy until the velocity is 0m/s again, thus returning to the state of maximum gravitational potential energy (same as originally) and null kinetic energy, but on the opposite side of the oscillation. Then the pendulum comes back repeating the exact same process just descibed, until it finishes one oscillation when reaching the original point.
Answer:
Explanation:
Interest is paid semiannually on June 30 and December 31. (FV of $1, PV of $1, FVA of $1, PVA of $1, FVAD of $1 and PVAD of $1) (Use appropriate factor(s) from the tables provided.) Required: 1. Determine the price of the bonds on January 1, 2021. 2. Prepare the journal entry to record their issuance by Patey on January 1, 2021. 3. Prepare an amortization schedule that determines interest at the effective rate for each period. 4. Prepare the journal entry to record interest on June 30, 2021. 5. What is the amount related to the bonds that Patey will report in its balance sheet on December 31, 2021? 6. What is the amount related to the bonds that Patey will report in its income statement for the year ended December 31, 2021? (Ignore income taxes.) 7. Prepare the appropriate journal entries at maturity on December 31, 2024. Complete this question by entering your answers in the tabs below. Req 1 Reg 2 Reg 2 Req 3 Req3 Req 4 Req 4 Req 5 and 6 Req 7 Reg 7 Determine the price of the bonds at January 1, 2021. (Round final answers to the nearest whole dollar.) Table values are based on: n = Cash Flow Amount Present Value Interest Principal Price of bonds Req 1 Reg 2 Req 3 Req 4 Req 5 and 6 Req 7 Prepare the journal entry to record their issuance by Patey on January 1, 2021. (If no entry is required for a transaction/event, select "No journal entry required" in the first account field. Round intermediate calculations and final answers to the nearest whole dollar.) View transaction list 1 Record the issuance of the bonds on January 1, 2021. Req 1 Req 2 Req3 Req 4 Req 5 and 6 Req 7 Prepare an amortization schedule that determines interest at the effective rate for each period. (Round intermediate calculations and final answers to the nearest whole dollar.) ...................... Semiannual Bond Interest Discount Interest Cash Interest Carrying Value Period-End Expense Amortization 01/01/2021 06/30/2021 12/31/2021 06/30/2022 12/31/2022 06/30/2023 12/31/2023 06/30/2024 12/31/2024 Total Req 1 Req 2 Req 3 Reg 4 Req 5 and 6 Req 7 Prepare the journal entry to record interest on June 30, 2021. (If no entry is required for a transaction/event, select "No journal entry required" in the first account field. Round intermediate calculations and final answers to the nearest whole dollar.) View transaction list 1 Record the interest expense on June 30, 2021. Complete this question by entering your answers in the tabs below. Reg 1 Req 2 Req 3 Req 4 Req 5 and 6 Req 7 What is the amount(s) related to the bonds that Patey will report in its balance sheet on December 31, 2021, and income statement for the year ended December 31, 2021? (Ignore income taxes.) (Round intermediate calculations and final answers to the nearest whole dollar.) 5. December 31, 2021 book value 6. Interest expense for 2021 Req 1 Req 2 Req3 Req 4 Req 5 and 6 Req 7 Prepare the appropriate journal entries at maturity on December 31, 2024. (If no entry is required for a transaction/event, select "No journal entry required" in the first account field. Round intermediate calculations and final answers to the nearest whole dollar.) View transaction list X 1 Record the interest expense on December 31, 2024. 2 Record the retirement of the bond at maturity on December 31, 2024.
