Answer:
The force required to stop the shopping cart is, F = 12.25 N
Explanation:
Given data,
The mass of the shopping cart, m = 7 kg
The initial velocity of the shopping cart, u = 3.5 m/s
The final velocity of the shopping cart, v = 0 m/s
The time period of acceleration, t = 2 s
The change in momentum of the cart,
p = m(u - v)
= 7 (3.5 - 0)
= 24.5 kg m/s
The force is defined as the rate of change of momentum. To stop the shopping cart, the force required is given by the formula
F = p / t
= 24.5 / 2
= 12.25 N
Hence, the force required to stop the shopping cart is, F = 12.25 N
According to the question,
Now,
The change in momentum will be:
→ [tex]p = m(u-v)[/tex]
By putting the values, we get
[tex]= 7(3.5-0)[/tex]
[tex]= 24.5 \ kg.m/s[/tex]
hence,
The required force will be:
→ [tex]F = \frac{p}{t }[/tex]
[tex]= \frac{24.5}{2}[/tex]
[tex]= 12.25 \ N[/tex]
Thus the response above is right.
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