Which law of motion accounts for the following statement?

Physics

2 answers:

Mnenie [13.5K]2 years ago

6 0

The correct answer to the question is : The second law of Newton.

EXPLANATION:

As per the question, the ball is initially hit by a man.

The same ball is hit by a boy.

The ball moves faster for man than that of for the boy. It means the acceleration of ball in case of man is more as compared to the acceleration of the ball for the boy.

From Newton's second law, we know that force applied on a ball is equal to the product of mass with acceleration.

Mathematically force F = ma.

Here, m is the mass and a is the acceleration of the object.

Hence, more is the force, the more will be the acceleration.

As the ball is moving faster for man, he has applied more force on the ball.

Hence, the Newton's second law of motion accounts for the given statement.

julia-pushkina [17]2 years ago

5 0

That would be the second law

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Aliya deposited half as much money in a savings account earning 1.9% simple interest as she invested in a money market account t

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Let A be the amount of money that Aliya deposited in the savings account. Since A is half as much as money as she invested in a money market account, then the amount that she invested in the market account is 2A.

Express the interest that Aliya earned in terms of A. Set it equal to the amount of $297.60 and then solve for A.

Since the savings account gives 1.9% simple interest, the total amount of interest that she will earn from the savings account is 1.9% of A, which is equal to:

$\frac{1.9}{100}\times A$

Since the money market account gives 3.7% simple interest, the total amount of interest that she will earn from the money market account, is 3.7% of 2A, which is equal to:

$\frac{3.7}{100}\times2A$

Add both interests in terms of A and simplify the expression:

$\begin{gathered} \frac{1.9}{100}\times A+\frac{3.7}{100}\times2A \\ =\frac{1.9}{100}\times A+\frac{7.4}{100}\times A \\ =(\frac{1.9}{100}+\frac{7.4}{100})\times A \\ =\frac{1.9+7.4}{100}\times A \\ =\frac{9.3}{100}\times A \end{gathered}$

The expression (9.3/100)*A represents the total interest after one year. Then:

$\begin{gathered} \frac{9.3}{100}\times A=297.60 \\ \Rightarrow A=\frac{100}{9.3}\times297.60 \\ \Rightarrow A=\frac{100\times297.60}{9.3} \\ \Rightarrow A=\frac{29760}{9.3} \\ \Rightarrow A=3200 \end{gathered}$

Use the value of A to find the amount that was invested in the money market account: