Each cart below is pushed across a room with the same amount of force. Which cart will result in the greatest change in speed?

F.A 75 kg cart being pushed with a 200 N force
G.A 125 kg box being pushed with a 200 N force
H.A 350 kg box being pushed with a 200 N force
J.A 450 kg cart being pushed with a 200 N force

Respuesta :

The cart with the greatest change in speed is the cart with a mass of 75 Kg

Acceleration is defined as the change in velocity of an object with time. Also, acceleration is related to the force and mass according to the following equation:

Acceleration (a) = Force (F) / mass (m)

a = F / m

To answer the question, we shall determine the acceleration of each cart.

For cart of mass 75 kg

  • Mass (m) = 75 Kg
  • Force (F) = 200 N
  • Acceleration (a) =?

a = F / m

a = 200 / 75

a = 2.67 m/s²

For cart of mass 125 kg

  • Mass (m) = 125 Kg
  • Force (F) = 200 N
  • Acceleration (a) =?

a = F / m

a = 200 / 125

a = 1.6 m/s²

For cart of mass 350 kg

  • Mass (m) = 350 Kg
  • Force (F) = 200 N
  • Acceleration (a) =?

a = F / m

a = 200 / 350

a = 0.57 m/s²

For cart of mass 450 kg

  • Mass (m) = 450 Kg
  • Force (F) = 200 N
  • Acceleration (a) =?

a = F / m

a = 200 / 450

a = 0.44 m/s²

From the above illustrations, we can see that the cart with a mass of 75 K has the greatest change in speed (i.e 2.67 m/s²)

Learn more about acceleration: https://brainly.com/question/390784

Answer:

D

Explanation:

F. 200-75=125

G. 20-125=75

H. 350-200=150

J. 450-200=250

250 is the biggest number so it has the biggest change