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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

User FabioEnne
by
4.8k points

2 Answers

1 vote

Answer:

180

Step-by-step explanation:

User RedAllocator
by
5.0k points
3 votes

Answer:

The work done by the shopping cart is 180 J

Step-by-step 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,


W=(1)/(2)m(v^2-u^2)

m = 24 kg

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


W=(1)/(2)* 24* (4^2-1^2)\\\\W=180\ J

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

User Csmaster
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5.3k points