1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Pie
3 years ago
12

4. Two ropes are attached to a heavy object. The ropes are given two strong physics

Mathematics
1 answer:
Marianna [84]3 years ago
4 0

Answer:

A.) 2000N

B.) 0

C.) 1414.2 N

Step-by-step explanation:

Given that the force on the rope = 1000N

A.) If the two students pull in the same direction, the resultant force will be addition of the two forces. That is

1000 + 1000 = 2000 N

B.) If the two students pull in the opposite direction, the resultant force will be sum of the two forces equal to zero. That is,

F1 + F2 = 0

F1 = positive 1000N

F2 = negative 1000N

Therefore, 1000 - 1000 = 0

The resultant force of the two forces is zero.

C.) If the two forces are at right angles, south and east to each other, the resultant force R will be achieved by using pythagorean theorem.

R = sqrt( 1000^2 + 1000^2 )

R = sqrt( 2000000 )

R = 1414.2 N

The resultant force of the two forces will be 1414.2N

You might be interested in
Kristen invests $ 5745 in a bank. The bank 6.5% interest compounded monthly. How long must she leave the money in the bank for i
podryga [215]

Answer:

1. 10.7 years

2. 17.0 years

3. 2nd option

Step-by-step explanation:

Use formula for compounded interest

A=P\cdot \left(1+\dfrac{r}{n}\right)^{nt},

where

A is final value, P is initial value, r is interest rate (as decimal), n is number of periods and t is number of years.

In your case,

1. P=$5745, A=2P=$11490, n=12 (compounded monthly), r=0.065 (6.5%) and t is unknown. Then

11490=5745\cdot \left(1+\dfrac{0.065}{12}\right)^{12t},\\ \\2=(1.0054)^{12t},\\ \\12t=\log_{1.0054}2,\\ \\t=\dfrac{1}{12}\log_ {1.0054}2\approx 10.7\ years.

2. P=$5745, A=3P=$17235, n=12 (compounded monthly), r=0.065 (6.5%) and t is unknown. Then


17235=5745\cdot \left(1+\dfrac{0.065}{12}\right)^{12t},

3=(1.0054)^{12t},

12t=\log_{1.0054}3,

t=\dfrac{1}{12}\log_{1.0054}3\approx 17.0\ years.

3. <u>1 choice:</u> P=$5745, n=12 (compounded monthly), r=0.065 (6.5%), t=5 years and A is unknown. Then

A=5745\cdot \left(1+\dfrac{0.065}{12}\right)^{12\cdot 5},\\ \\A=5745\cdot (1.0054)^{60}\approx \$7936.39.

<u>2 choice:</u> P=$5745, n=4 (compounded monthly), r=0.0675 (6.75%), t=5 years and A is unknown. Then

A=5745\cdot \left(1+\dfrac{0.0675}{4}\right)^{4\cdot 5},\\ \\A=5745\cdot (1.0169)^{20}\approx \$8032.58.

The best will be 2nd option, because $8032.58>$7936.39

5 0
2 years ago
Read 2 more answers
Simplify the expression. ​
deff fn [24]

(6^-2)^2

When you have a number raised to a power inside parenthesis and then it is raised to another power, to simplify, multiply the two powers together:

-2 x 2 = -4

Simplified is 6^-4

5 0
3 years ago
Read 2 more answers
3 inches equals how many yards?
Stels [109]

Answer:\

3 inches does not even equal a whole yard it equals 0.08 of a yard

6 0
2 years ago
Read 2 more answers
Sarah would like to hire a clown for her daughter‘s birthday party. Clown A is offering his services for an initial fee of $100
photoshop1234 [79]
It will be equal in 9 hours
4 0
3 years ago
Lost all factor pairs of 50
Genrish500 [490]

Answer:

(5, 10 ) ( 2, 25 )

Step-by-step explanation:

6 0
3 years ago
Other questions:
  • Witch value of x makes the open sentence true? 10-x=3x-4
    9·1 answer
  • Which least to greatest 125% 6/5 1.22
    12·1 answer
  • How to write 7/8 as a percent
    7·2 answers
  • HELP ASAP 40 POINTS REAL ANSWER
    12·1 answer
  • The speedometer in Kevin's car reads in both miles/hour and kilometers/hour. What information is needed to convert between these
    10·1 answer
  • 3. Find the total surface area.<br>16 cm<br>36 cm<br>12 cm​
    14·1 answer
  • Sarah is 3 years older than nine times Mario's age. In 10 years, she will be 1 less than triple his
    12·1 answer
  • Solve and check the following equation. 8d + 21 = 12d + 5 <br><br><br><br> d =
    11·1 answer
  • Which properties of logarithms help you simplify log 200 + log 5 - log 100? (Select all that apply.)
    8·1 answer
  • Evaluate the factorial expression. 322!/321!
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!