Are These Dynamics Problem Answers Correct?

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The discussion focuses on verifying the correctness of answers to physics problems involving dynamics. The answers provided for the first two questions are numerically correct but lack appropriate units. Clarification is needed regarding the symbols used in the third question, as they are not understood by all participants. The fourth question's answer may be incorrect, as it requires applying Newton's second law to find the acceleration and tension in the system of carts. Overall, participants are encouraged to provide clearer explanations and correct any misunderstandings in the calculations.
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can u ppl please cheack if these answers are correct

1 a 1500 kg car travling at 25m/s {n} comes to a stop in 5 s wat is the net force

ans- 7500

2. a boy aplies a horizantal forse of 45 n to a 10 kg trunk is the cofficient of friction between the boy and the floor is .35 detrimne accelaeration

ans1.07

3 two children pull a 15 kg sled one pulls with force of 30 n {e} and the other pulls with 45n{s10w} calc accelaration

ans 3.3

4. a 4 kg cart(1) , a 2 kg cart(2) , and a 1 kg(3) cart are seccessivly joined with ropes the system is pulled with a 14 n force app lied to cart 1, calc tension in the rope between cart 1 and 2
ans- 8 n
if there is any mistakes can u please help me correct it
 
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Hi!

Yor answers for Parts 1 and 2 are numerically correct, but you should include the appropriate units in your final answer.

As for Part 3, I do not really understand the symbols "{e} and {s10w}". Can you explain it to me?

Finally, I think your answer to part 4 may be incorrect. In solving this problem, we first treat all 3 carts as 1 system, and then we apply Newton's 2nd Law to determine the acceleration of the system. Since the carts are connected by ropes, and assuming that the rope does not become slack, each cart will have the same acceleration. Then, we draw a free body diagram for the forces acting on cart 1, and a repeated application of Newton's 2nd Law should get us the final answer!
(P.S I think your answer of 8N is the net force acting on cart 1, but not the value for the tension in the rope between carts 1 and 2)

All the best!
 
To help more with fourth wuestion do send the equations written by you.
what are the signs in 3rd question. thesesquestions look similar andmuch easier than the ones i solve nowadays. so i think i might help you. if the vectors in the thirs question are in different direction thenfixing an appropriate co-ordinate system would help.
 
Thread 'Variable mass system : water sprayed into a moving container'
Starting with the mass considerations #m(t)# is mass of water #M_{c}# mass of container and #M(t)# mass of total system $$M(t) = M_{C} + m(t)$$ $$\Rightarrow \frac{dM(t)}{dt} = \frac{dm(t)}{dt}$$ $$P_i = Mv + u \, dm$$ $$P_f = (M + dm)(v + dv)$$ $$\Delta P = M \, dv + (v - u) \, dm$$ $$F = \frac{dP}{dt} = M \frac{dv}{dt} + (v - u) \frac{dm}{dt}$$ $$F = u \frac{dm}{dt} = \rho A u^2$$ from conservation of momentum , the cannon recoils with the same force which it applies. $$\quad \frac{dm}{dt}...

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