1. What is the mass of the cart with a constant net force of 200N is exerted
to accelerate from rest to a velocity of 40m/s in 10 s.
A. 0.5 kg
C. 50 kg
B. 5 kg
D. 500 kg

Respuesta :

Answer:

50

Explanation:

so you'll have to apply Newton's 2nd law which is F=ma and then substitute the values that you already have in the question as in, the force is 200 and you'll have to find the acceleration by working it out which is 4m/s² and then find the mass by dividing 200 by 4 so the actual mass is 50kg ✌️❤️

Taking into account the Newton's second law, the mass of the cart is 50 kg.

You have to know that Newton's second law states that this force will change the speed of an object because the speed and / or direction will change. These changes in velocity are called acceleration.

So, Newton's second law defines the relationship between force and acceleration mathematically. This law says that the acceleration of an object is directly proportional to the sum of all the forces acting on it and inversely proportional to the mass of the object.

Mathematically, Newton's second law is expressed as:

F= m×a

where:

  • F = Force [N]
  • m = Mass [kg]
  • a = Acceleration [m/s²]

Acceleration relates the changes in velocity with the time in which they occur. So:

[tex]a=\frac{final velocity - initial velocity}{time}[/tex]

In this case:

  • F= 200 N
  • m= ?
  • [tex]a=\frac{40 \frac{m}{s}-0\frac{m}{s} }{10 s} = 4 \frac{m}{s^{2} }[/tex]

Replacing in the expression for Newton's Second Law:

200 N= m× 4 m/s²

Solving:

m= 200 N÷4 m/s²

m= 50 kg

Finally, the mass of the cart is 50 kg.

Learn more about the Newton's second law:

  • brainly.com/question/23845187?referrer=searchResults
  • brainly.com/question/13959891?referrer=searchResults