Question

Suppose a cart is being moved by a certain net force. If a load is added to the cart so its mass is doubled, what is the ratio of the new acceleration to the old acceleration? 1. 4 2. 2 3. 0.625 4. 3 5. 1 6. 0.333 7. 0.25 8. 0.2 9. 0.5 10. 1.5

Answer 1

When the load is added to the cart, the mass of the cart is doubled. Therefore, the new acceleration will be half of the old acceleration.

Step-by-step explanation:

To find the ratio of the new acceleration to the old acceleration, we need to consider the relation between force, mass, and acceleration. According to Newton's second law of motion, the acceleration of an object is directly proportional to the force applied to it and inversely proportional to its mass.

When the load is added to the cart, the mass of the cart is doubled. Since the same net force is being applied, the new acceleration will be half of the old acceleration. Therefore, the ratio of the new acceleration to the old acceleration is 0.5, which corresponds to option 9.

Keywords: cart, net force, load, mass, acceleration, ratio

Answer 2

The correct answer is 9

Step-by-step explanation:

Newton's second law states that force is proportional to the product of mass by acceleration

F = ma

With the first condition

F = m a1

We double the mass

F = 2m a2

.ma1 = 2 m a2

.a2 / ai = 0.5

The correct answer is 9