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

A )A 15 kg cart being pushed with a 200 N force
B ) A25 kg box being pushed with a 200 N force
C )A 45 kg cart being pushed with a 200 N force
D )A 35 kg box being pushed with a 200 N force​

Respuesta :

Answer: A 15 kg cart being pushed with a 200 N force.

Explanation:

The 15 kg cart is the lightest, so it has the least amount of friction on the ground.

Eduard22sly

The cart that will result in the greatest change in speed is the cart with a mass of 15 Kg

The correct answer to the question is Option (A) A 15 kg cart being pushed with a 200 N force

Acceleration is defined as the change in velocity of an object with time.

Acceleration is also related to force and mass according to the following equation:

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

a = F / m

  • To answer the question given above, we shall determine the acceleration of the cart in each option.

For Option A:

Mass (m) = 15 Kg

Force (F) = 200 N

Acceleration (a) =?

a = F / m

a = 200 / 15

a = 13.33 m/s²

For Option B:

Mass (m) = 25 Kg

Force (F) = 200 N

Acceleration (a) =?

a = F / m

a = 200 / 25

a = 8 m/s²

For Option C:

Mass (m) = 45 Kg

Force (F) = 200 N

Acceleration (a) =?

a = F / m

a = 200 / 45

a = 4.44 m/s²

For Option D:

Mass (m) = 35 Kg

Force (F) = 200 N

Acceleration (a) =?

a = F / m

a = 200 / 35

a = 5.51 m/s²

From the illustrations made above, we can see that the cart with a mass of 15 Kg has the greatest acceleration (i.e change in speed)

Therefore, the correct answer to the question is Option (A) A 15 kg cart being pushed with a 200 N force

Learn more: https://brainly.com/question/25816322

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