10. A car starts from rest and travels for 5.0 s with a constant acceleration of -1.5 m/s/s.

You and a friend each carry a 15 kg suitcase up two flights of stairs, walking at a constant speed. Take each suitcase to be the

AlekseyPX

Answer:

Both of you did the same work but you expended more power.

Explanation:

<em>Work done</em> by an object is calculated by force applied multiplied by the distance.

W=F*d

From the figure given below let us calculate force applied bith you and yopur friend.

Let us take the stairs in positive x direction,

Work done by you W₁ ,

The force applied Fₓ = F - mgsinθ =maₓ

here aₓ = 0, because both of you move with constant speed

F - mgsinθ = 0

F= mgsinθ

The work done by you on the suitcase is

W = F L cos0° , where L is he length of the staircase.

W = FL = mgsinθL , by substituting value of F

Work done by you is W₁ = mgLsinθ

Similarly work done by your friend is W₂ = mgLsinθ.

Because both of you carry suitcase of same weight and in staircase is in same angle the force applied is same .

Therefore <em>work done by both of you is same</em> . Both of you did equal work.

The power , is defined as amount of energy converted or transfered per second or rate at which work is done .

P = $\frac{W}{t}$ = $\frac{FL}{t}$

Power spend by you P₁ = mgLsinθ/t

P₁ = 15*9.8*Lsinθ/30

P₁ = 4.9L sinθ eqn 1

Power spend by your friend is P₂ = mgLsinθ/t

P₂ =15*9.8*Lsinθ/60

P₂ = 2.45Lsinθ eqn 2

Dividing eqn 1 and eqn 2

P₁ = 2P₂

You have spend more power than your friend .

Hence Both of you did equal work but you spend more power.

7 0

4 years ago

Which statements describe scientific laws but not theories or hypotheses? Check all that apply.

oksian1 [2.3K]

Answer:

First and last one,

<h2>Is considered as theories</h2>

8 0

3 years ago

Read 2 more answers

Define the unit of current

grandymaker [24]

Answer:

The unit of current is defined as the flow of 1 coulomb of charge in one second

3 0

4 years ago

Ado makes a table to identify the variables used in the equations for centripetal acceleration. What qualities belong to x and y

Thepotemich [5.8K]

Answer:

X Period

Y tangential speed

Explanation:

7 0

3 years ago

Financial contracts involving investments, mortgages, loans, and so on are based on either a fixed or a variable interest rate.

IgorC [24]

Answer:

Simple interest saving account: $929

Annual compound interest account: $1147.66

Quarterly compound interest account: $1,170.99

Explanation:

There are simple equation you can use the compute the amount of money you will have when each of the three situations given in the questions are applied. The following illustrates for each scenario.

Simple Interest Rate Scenario

Simple interest is the interest rate that is applied only on the original principal amount. So in this scenario, the 6.6% interest is rate is the rate of interest that Katherine will continue to get on her initial deposit of $500 only even though the balance in the account will increase each year by the amount of interest rate she receives. So after 13 years, 13 years worth of interest will be applied on the original deposit.

The mathematical equation is: FV = P x (1 + RT)

Where, FV is the future value, P is the principal amount, R is the interest rate and T is the time period. When we plug in the values the equation would become:

FV = 500 x [1 + (0.066 x 13)] = $929

Annual Compound Interest Scenario

Compound interest, as opposed to simple interest, is a situation in which the interest rate is being applied on the available balance in the account. So, this balance would include the amount of interest accumulated over prior periods as well. So each year, 6.6% will be applied on the $500 PLUS the amount of interest accumulate.

The mathematical formula includes the same variables but is different in that, FV = P x (1 + R)^T.

Plugging in the values, FV = 500 x (1 + 0.066)^13 = $1,147.66

Quarterly Compounded Interest Scenario

This is similar to the annual compound interest scenario in that interest is applied on both the principal and the prior years' accumulated interest but rather than being applied annually, it will be applied quarterly.

The mathematical formula is FV = P x (1 + $\frac{R}{N})^{T x N}$ . The new variable added is "N" which refers to the number of times the interest is compounded which in the question's context is 4 (quarterly compounding).

So the formula becomes, FV = 500 x (1 + $\frac{0.066}{4})^{13 X 4}$ = $1,170.99

7 0

3 years ago