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garik1379 [7]
3 years ago
7

A net force of 5N is applied to a 13kg mass. what is its acceleration?​

Physics
1 answer:
liq [111]3 years ago
5 0

Answer:

\boxed {\boxed {\sf a \approx 0.4 \ m/s^2}}

Explanation:

According to Newton's Second Law of Motion, force is the product of mass and acceleration.

F= m \times a

The net force is 5 Newtons and the mass is 13 kilograms. Let's convert the units for force to make the problem and unit cancellation easier.

  • 1 Newton (N) is equal to 1 kilogram meter per square second (1 kg*m/s²)
  • The net force of 5 N is equal to 5 kg*m/s²

Now we know the values for 2 variables:

  • F= 5 kg*m/s²
  • m= 13 kg

Substitute the values into the formula.

5 \ kg *m/s^2 = 13 \ kg * a

Since we are solving for the accleration we must isolate the variable, a. It is being multiplied by 13 kilograms and the inverse of multiplication is division. Divide both sides by 13 kg

\frac {5 \ kg *m/s^2}{13 \ kg}= \frac{ 13 \ kg  *a}{13 \ kg}

\frac {5 \ kg *m/s^2}{13 \ kg}=a

The units of kilograms (kg) cancel.

\frac {5 m/s^2}{13 }=a

0.384615385\ m/s^2=a

The original measurements of force and mass ( 5 and 13) have 1 and 2 significant figures. We must round our answer to the least number of sig figs: 1.

For the number we found, that is the tenths place. The 8 in the hundredth place (0.384615385) tells us to round the 3 up to a 4.

0.4 \ m/s^2 \approx a

The acceleration is approximately <u>0.4 meters per square second.</u>

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A rubber balloon is filled with 1 L of air at 1 atm and 300 K and is then put into a cryogenic refrigerator at 100 K. The rubber
Kipish [7]

Answer:

The correct answers are

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(ii) is (c) It is constant

Explanation:

to solve this, we list out the number of knowns and unknowns so as to determine the correct equation to solve the problem

The given variables are as follows

Initial volume V1 = 1L

V2 = Unknown

Initial Temperature T1 = 300K

let us assume that the balloon is perfectly elastic

At 300K the balloon is filled and it stretches to maintain 1 atmosphere

at 100K the content of the balloon cools reducing the excitement of the gas content which also reduces the pressure, however, the balloon being perfectly elastic, contracts to maintain the 1 atmospheric pressure, hence the answer to (ii) is (c) It is constant,

For (i) since we know that the pressure of the balloon is constant

by Charles Law V1/T1 =V2/T2

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8 0
3 years ago
A 2.50-m segment of wire carries 1000 A current and feels a 4.00-N repulsive force from a parallel wire 5.00 cm away. What is th
Stolb23 [73]

Answer:

The current is  I_b  =  400 \ A

Explanation:

From the question we are told that

    The  length of the segment is  l  =  2.50  \  m

     The current is  I_a  =  1000 \ A

     The force felt is  F  =  4.0 \  N

        The distance of the second wire is  d =  5.0 \ cm  = 0.05 \  m

Generally the current on the second wire is mathematically represented as

        I_b  =  \frac{2 \pi * r * F }{ l *  \mu_o  *  I_a }

Here  \mu_o is the permeability of free space with value  \mu_o =  4 \pi * 10^{-7} \ N/A^2

=>      I_b  =  \frac{2 * 3.142  *  0.05 *  4 }{ 2.50  *  4\pi *10^{-7}  * 1000 }

=>      I_b  =  400 \ A

4 0
3 years ago
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