Answer:
Refer to the attachment for solution (1).
<h3><u>Calculating time taken by it to stop (t) :</u></h3>By using the second equation of motion,
→ v = u + at
→ 0 = 5 + (-5/6)t
→ 0 = 5 - (5/6)t
→ 0 + (5/6)t = 5
→ (5/6)t = 5
→ t = 5 ÷ (5/6)
→ t = 5 × (6/5)
→ t = 6 seconds
→ Time taken to stop = 6 seconds
Answer:
The final velocity of the cart is
Explanation:
From the question we are told that
The mass of the girl is
The mass of the cart is
The speed of the cart and kid(girl) is
The final velocity of the girl is
Let assume that velocity eastward is positive and velocity westward is negative (Note that if we assume vise versa it wouldn't affect the answer )
The total momentum of the system before she steps off the back of the cart
is mathematically evaluated as
substituting values
The total momentum after she steps off the back of the cart is mathematically evaluated as
Where is the final velocity of the cart
substituting values
Now according to the law of conservation of momentum
So
=>
Since the value is positive it implies that the cart moved eastward