Question

Calculate the mass in grams of a toy car if a force of 2 N causes it to accelerate by 10 m/s2

Answer 1

m=0.2kg=200g

Step-by-step explanation:

F=2N, a=10m/s²

F=ma⇒ m=F/a=2/10=0.2kg=200g

Answer 2

`\boxed {\boxed {\sf 200 \ grams}}`

Step-by-step explanation:

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

`F=m*a`

The force is 2 Newtons and the acceleration is 10 meters per square second. First, we should convert the units of Newtons to make unit cancellation easier. 1 Newton is equal to 1 kilogram meter per second squared. The force of 2 N equals 2 kg*m/s²

Substitute the known values into the formula.

• F= 2 kg*m/s²
• a= 10 m/s²

`2 \ kg*m/s^2 = m * 10 \ m/s^2`

We are solving for the mass, so we must isolate the variable m. It is being multiplied by 10 meters were second squared. The inverse of multiplication is division. Divide both sides by 10 m/s².

`\frac { 2 \ kg *m/s^2}{10 \ m/s^2}=( m* 10 m/s^2)/(10 \ m/s^2)`

`\frac { 2 \ kg *m/s^2}{10 \ m/s^2}= m`

The units of meters per second squared cancel.

`\frac { 2 \ kg}{10}= m`

`0.2 \ kg =m`

Now, we must convert the mass to grams. There are 1000 grams in 1 kilogram. We can multiply the mass by 1000 or set up a ratio.

`0.2 \ kg * (1000 \ g)/(1 \ kg)= 0.2 * 1000 \ g = 200 \ g`

The toy car's mass is 200 grams.