Respuesta :
Answer: 1. f = 444N
2. f = 36900N
3. a=34 m/s2
Step-by-step explanation:
f=net force. a=acceleration. m=mass.
f = m*a
1. f = m*a
f = 6 * 740
f = 444N
2. f = 82 * 450
f = 36900N
3. f = m*a
1800=53*a
a=1800/53
a=34 m/s2
Answer:
1) 4440 N
2) 36900 N
3) 34.0 m/s² (nearest tenth)
Step-by-step explanation:
Newton's Second Law of Motion
The overall resultant force acting on a body is equal to the mass of the body multiplied by the body's acceleration.
[tex]\large\boxed{F_{net}=ma}[/tex]
- F = force measured in N (Newtons).
- m = mass measured in kg (kilograms).
- a = acceleration measured in m/s² (meters per second squared).
Question 1
Given:
- m = 6 kg
- a = 740 m/s²
Substitute the given values into the formula:
[tex]\begin{aligned}F_{net} & =ma\\\implies F_{net} & =6 \cdot 740\\& =4440\:\sf N\end{aligned}[/tex]
Question 2
Given:
- m = 82 kg
- a = 450 m/s²
Substitute the given values into the formula:
[tex]\begin{aligned}F_{net} & =ma\\\implies F_{net} & =82 \cdot 450\\& =36900\:\sf N\end{aligned}[/tex]
Question 3
Given:
- m = 53 kg
- F = 1800 N
Substitute the given values into the formula:
[tex]\begin{aligned}F_{net} & =ma\\\implies 1800& =53a\\a & = \dfrac{1800}{53}\\ a& =33.96226415...\\ & = 34.0\:\sf m/s^2 \:\:(nearest\:tenth)\end{aligned}[/tex]