How much work must be done on a 24-kg shopping cart to increase its speed
from 1 m/s to 4 m/s?
A. 24 J
B. 192 J
C. 12 J
D. 180 J

Respuesta :

Answer:

The work done by the shopping cart is 180 J  

Explanation:

We have,

Mass of a shopping cart is 24 kg

Initial speed of cart is 1 m/s

Final speed of a cart is 4 m/s

It is required to find the work done by the shopping cart. The work done by an object is also equal to the change in its kinetic energy as per work -energy theorem. It means,

[tex]W=\dfrac{1}{2}m(v^2-u^2)[/tex]

m = 24 kg

u = 1 m/s and v = 4 m/s

[tex]W=\dfrac{1}{2}\times 24\times (4^2-1^2)\\\\W=180\ J[/tex]

So, the work done by the shopping cart is 180 J.

Answer:

180

Explanation: