Respuesta :
In all of the questions, we apply Newton's second law that:
Force = mass x acceleration
1) A. True
2) C, 120 N; F = 60 x 2 = 120N
3) A, 6 m/s²; a = F/m = 180/30 = 6
4) A; F = ma → m = F/a
Force = mass x acceleration
1) A. True
2) C, 120 N; F = 60 x 2 = 120N
3) A, 6 m/s²; a = F/m = 180/30 = 6
4) A; F = ma → m = F/a
Answer: 1) The given statement is true.
2 .The correct answer is option C.
3.The correct answer is option A.
4.The correct answer is option A.
Explanation:
1. Mass of the person = m = 40 kg
Rate of acceleration of person = a = [tex]10 m/s^2[/tex]
Force on the person = [tex]F=mass\times acceleration = 40 kg\times 10 m/s^2=400 N[/tex]
True, the force acting on him or her is 400 N.
2.Mass of an object ,m= 60 kg
Rate of acceleration of an object ,a= [tex]a=2.0 m/s^2[/tex]
Force required:
[tex]F=m\times a=60 kgtimes 2.0 m/s^2=120.0 N[/tex]
Hence, the correct answer is option C.
3. Mass of an object ,m= 30 kg
Force applied ,F = 180 N
Let rate of the acceleration be = a
[tex]F=m\times a[/tex]
[tex]a=\frac{180 N}{30 Kg}=6.0 m/s^2[/tex]
Hence, the correct answer is option A.
4. If we know the force acting on an object along with acceleration of an object.
From the formula: F= ma
Mass can be determined by:
[tex]m=\frac{F}{a}[/tex]
Hence, the correct answer is option A.