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3 years ago

14

Overview

1 answer:

MaRussiya [10]3 years ago

4 0

Answer:

20 292 02 202 202

Step-by-step explanation:

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Read 2 more answers

When a constant force is applied to an object, the acceleration of the object varies inversely with its mass. When a certain con

marusya05 [52]

Answer: The mass of the object is 10 kg

Step-by-step explanation:

According to Newton's second law of motion, the force $F$ applied to an object with mass $m$ is directly proportional to its acceleration $a$ :

$F=ma$ (1)

If we isolate $a$ :

$a=\frac{F}{m}$ (2) This means the acceleration of the object varies inversely with its mass

Now, we are given the following data to calculate a constant force using (1):

$m_{1}=4 kg$

$a_{1}=5 m/s^{2}$

$F=m_{1}a_{1}$ (3)

$F=(4 kg)(5 m/s^{2)$ (4)

$F=20 N$ (5)

If we apply this same force calulated in (4) in another object with an acceleration of $a_{2}=2 m/s^{2}$ , its mass $m_{2}$ will be:

$F=m_{2}a_{2}$ (6)

$20 N=m_{2}2 m/s^{2}$ (7)

Finding $m_{2}$ :

$m_{2}=10 kg$ This is the mass of the object

4 0

3 years ago

Two consecutive perfect squares have a difference of $99$. what is the value of the larger perfect square?

Fofino [41]

Answer:

2500

Step-by-step explanation:

Let the first square number be $x^2$ then the next square number is $(x+1)^2$ .

The difference between these two consecutive numbers is 99.

This implies that:

$(x+1)^2-x^2=99$

We expand to get:

$x^2+2x+1-x^2=99$

Simplify:

$2x=99-1$

$2x=98$

Divide both sides by 2

$x=49$

Therefore the value of the larger perfect number is

$(49+1)^2=50^2=2500$ .

6 0

3 years ago