Explanation:
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Answer:
a. I = -3mv₀/2 b. F = -3mv₀/2t
Explanation:
a. Use the impulse-momentum to write an equation for the system which is the cart only.
We know Impulse , I = Δp where Δp = change in momentum.
Now, Δp = m(v - u) where m = mass of cart, u = initial velocity of cart = v₀ and v = rebound velocity of cart = -v₀/2 (negative since it moves in the opposite direction to u)
So, I = Δp = m(v - u)
Substituting the values of the variables into the equation, we have
I = m(-v₀/2 - v₀) = -3mv₀/2
So, I = -3mv₀/2
b. If the time during which the bumper exerts a force on the cart is t, write an expression for the force F exerted on the cart in terms of the given variables.
We know impulse I = Ft where F = force exerted on the cart and t = time force acts
Also, I = -3mv₀/2
So, Ft = -3mv₀/2
F = -3mv₀/2t
Answer:
400watts
Explanation:
Power is defined as the amount of energy expended in a specific time. It is also defined as the change in work done with respect to time.
Mathematically,
Power = Workdone/time
Work done = Force×distance
Power = Force × Distance/Time
Given force = mass× acceleration due to gravity
Force = 60×10 = 600N
Distance covered = 4.0m
Time taken = 6.0seconds
Power expended = 600×4/6
Power expended = 400Watts
The average mechanical power (in W) required to do this is 400Watts