6 answers

A ball is dropped from a building having a height 50m. Calculate the time it takes...

Question:

A ball is dropped from a building having a height 50m. Calculate the time it takes to reach the ground.


Answers

S = ut + 1/2 * g * t^2 ( where S is distance and t is time)

50 = 0 + 1/2 * 9.8 * t^2

:. t = 3.19 s

.

Any object will accellerate due to gravity -9.81 m/s^2. By integrating this acceleration over time, one obtains the velocity at any time t.

v = gt + v0. In this case, the ball started at rest, so the initial velocity v0 is zero.

By integrating velocity over time, one obtains the position y at any time t.

y = 1/2gt^2 + y0. We know that y0, the initial height of the ball, is 50 m.

So, when does the ball hit the ground (y = 0). Solve for t:

0 = 1/2 (-9.81 m/s^2) t^2 + 50 --> 100s^2 = 9.81 t^2 --> t = 3.2 s

You can answer the second question by examining the energy of the system.

The kinetic energy when the ball hits the ground is determined by it's velocity. 1/2 mv^2. The velocity at t = 3.2s is v = g*3.2 = 10.2 m/s.

Uk = 52*m J/kg

The problem states that the ball looses half it's energy to the impact. So the new kinetic energy is 26*m J/kg. How high will it go? All of the kinetic energy will go to potential energy according to the equation Up = mgh.

So,

Uk = Up --> 52m = mgh --> h = 52/g = 5.3 meters.

.

let time be t.

then 0.5*9.8*t^2=50

t=3.194 sec

.

s = ut+(1/2)*g*(t^2)


50 = 0 + (1/2)*9.81*(t^2)


t = sqrt(50*2/9.81) = 3.1927 seconds


.

s=ut+1/2 gt^2 here S is height which is given as 50


and initial velocity is 0 so ut=0 , therefore, s=1/2 *gt^2

50=0+ 1/2*9.8t^2

t^2= 50/4.9

t=3.194sec

.

s=ut + a(t^2)/2


here u=0,a=9.8 or 10(approax)

and s=50


after calculating .. t=3.2 s (approax)

.

Similar Solved Questions

1 answer
4a) In a Millikan oil drop apparatus, an electric field of 26 kN/C is created in...
4a) In a Millikan oil drop apparatus, an electric field of 26 kN/C is created in a chamber to suspend oil drops that are missing electrons. What is the electric force on a drop that is missing 4 electrons? _______N 4b) The Angstrom (10-10m) is a unit that is useful in measuring distances beteen atom...
1 answer
How much time is required for a 6.25 mg sample of 51 cr to decay to...
How much time is required for a 6.25 mg sample of 51 cr to decay to 0.85 mg if it has a half life Of 27.8 days...
1 answer
How do you graph the piecewise function #3x+2 , if x ≠ 1#, #8 , if x = 1#?
How do you graph the piecewise function #3x+2 , if x ≠ 1#, #8 , if x = 1#?...
1 answer
Please show how to find each one 2. Calculate the limiting reagent, theoretical yield, and percent...
please show how to find each one 2. Calculate the limiting reagent, theoretical yield, and percent yield of the following reaction. (6 pts) NaOH/ H20 2 CH3 Hас 3.0 g 1.3 g 5.2 g MW: 234 g/mol MW: 58.08 g/mol MW: 106.12 g/mol...
1 answer
Answer with all steps and explaintion please: ♡ Evaluate. Does it diverge (В) е
Answer with all steps and explaintion please: ♡ Evaluate. Does it diverge (В) е...
1 answer
A water park has a wave pool that contains about #2^6 * 4^3 * 10 ^2# gallons of water. How many gallons of water is this?
A water park has a wave pool that contains about #2^6 * 4^3 * 10 ^2# gallons of water. How many gallons of water is this?...
1 answer
You turn on the news and find out the stock market has gone up 11%. Based on the data in the table here, by how much do you expect each of the following stocks to have gone up or down: (1) Starbucks, (2) Tiffany & Co., (3) Hershey, and (4) McDonald's
You turn on the news and find out the stock market has gone up 11%. Based on the data in the table here, by how much do you expect each of the following stocks to have gone up or down: (1) Starbucks, (2) Tiffany & Co., (3) Hershey, and (4) McDonald's....
1 answer
QUESTION 12 The following is a list of various cash payments and cash receipts: Cash paid...
QUESTION 12 The following is a list of various cash payments and cash receipts: Cash paid to suppliers and employees $420,000 Dividends paid 18,000 Interest paid 12,000 Purchases of plant assets 45,000 Interest and dividends received 17,000 Payments to settle short-term bank loans 29,000 Income taxe...
1 answer
Each of the genital infections listed below cause congenital and neonatal infections. Describe how can transmission...
Each of the genital infections listed below cause congenital and neonatal infections. Describe how can transmission to a fetus or newborn be prevented for each of the diseases listed. Disease Prevention of Congenital Disease Gonorrhea Syphilis NGU Genital herpes...
1 answer
What is the number of bonding and nonbonding domains for XeF4?
what is the number of bonding and nonbonding domains for XeF4?...
1 answer
The BIT Q in the following single stage amplifier has a DC current gain β-200. C-22...
The BIT Q in the following single stage amplifier has a DC current gain β-200. C-22 pF and C, 7 pF. The series base resistance r, is neglected. The circuit is powered using a dual voltage sources configuration. Values of other components are given in the circuit...
1 answer
The rules are: • Leaf Split: In case a leaf node needs to be split during...
The rules are: • Leaf Split: In case a leaf node needs to be split during insertion and n is even, the left node should get the extra key. E.g, if n = 2 and we insert a key 4 into a node [1,5], then the resulting nodes should be [1,4] and [5]. For odd values of n we can always evenly split the ...
1 answer
Which of the following characteristics do land plants share with their closest algal relatives? Select all...
Which of the following characteristics do land plants share with their closest algal relatives? Select all that apply. populations of apical cells that maintain their meristematic identity multicellular haploid and diploid generations cytoplasm that may be continuously connected be...
1 answer
Scenario One: (500 Words) You have been asked by your audit client, Bolts Ltd (Bolts), to...
Scenario One: (500 Words) You have been asked by your audit client, Bolts Ltd (Bolts), to prepare a report that analyses the potential acquisition of Steel Pty Ltd (Steel). Prior to conducting your analysis, you decide to verify the accuracy and completeness of the cash flow statement provided by St...
1 answer
1) (25pts) An engineer is making aggregate planning for the next 4 months. Demand forecasts in...
1) (25pts) An engineer is making aggregate planning for the next 4 months. Demand forecasts in aggregate items are 600, 350, 400, 700 for months 1 to 4. The company has an initial workforce of 80 and capacity can be adjusted by hiring (at a cost of 150 liras per worker) or firing (at a cost of 900 l...
1 answer
The graph shows the Demand (D), Marginal Revenue (MR) and the Marginal Cost (MC) of a...
The graph shows the Demand (D), Marginal Revenue (MR) and the Marginal Cost (MC) of a single-price, price searching firm. Drag the appropriate term to each of the colored areas A, B, C, D, E (Some terms may be used twice. For best results, drag the circle on the top left of the term to the center of...
1 answer
An uncold-worked brass specimen of average grain size 0.008 mm has a yield strength of 151...
An uncold-worked brass specimen of average grain size 0.008 mm has a yield strength of 151 MPa. Estimate the yield strength of this alloy (in MPa) after it has been heated to 600°C for 1220 s, if it is known that the value of ky is 11.5 MPa-mm 1/2. The Animated Figure 7.25 may be helpful. MPa (T...
1 answer
7. Finish the following two-way ANOVA table. There are four levels of Factor A (columns) and two ...
7. Finish the following two-way ANOVA table. There are four levels of Factor A (columns) and two levels of Factor B (rows), with 10 people in each group!!!!! df MS Source col row interaction 12 720 within total a. dfcol b. dfrow c. dfva d. dfw e. dfptal f. MSw g. MSco h. SSool i. MSrow j. SSow k. SS...
1 answer
5. The loanable funds market Aa Aa In each of the following diagrams adjust either the...
5. The loanable funds market Aa Aa In each of the following diagrams adjust either the supply of loanable funds curve or the demand for loanable funds curve to illustrate the event. Then use the graph to describe the event's impact on the equilibrium interest rate and investment spending. An eco...