01.10.2022


The first 2 you choose student 1 or 2

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Physics
Step-by-step answer
P Answered by PhD

Part a)

t = 3.06 s

Part b)

v_2 = 15.22 m/s

Part c)

v_{2f} = 35.4 m/s

Explanation:

Part a)

as we know that speed of the stone is 2.05 m/s

displacement of the stone is 52 m downwards

now we can use kinematics

d = v_i t + \frac{1}{2}at^2

52 = 2.05 t + \frac{1}{2}(9.8)t^2

4.9 t^2 + 2.05 t - 52 = 0

t = 3.06 s

Part b)

Since second stone is projected downwards with speed v after time t = 1 s

so relative separation between two stones is given as

d = vt + \frac{1}{2}at^2

d = (2.05)(1.00) + \frac{1}{2}(9.8)(1^2)

d = 6.95 m

so now we can say that if both stone hit the water simultaneously so here second stone will approach 1st atone after t = 3.06 - 1 = 2.06 s

so we have

v_{rel} t = d_{rel}[tex](v_2 - v_1) \times (2.06)= 6.95

here v1 is the speed of first stone after t = 1 s

v_1 = 2.05 + 9.8(1) = 11.85 m/s

now we will have

v_2 - 11.85 = \frac{6.95}{2.06}

v_2 = 15.22 m/s

Part c)

speed of first atone when it hit the water

v_{1f} = v_1 + at

v_{1f} = 2.05 + (9.81)(3.06)

v_{1f} = 32.1 m/s

speed of 2nd stone when it will hit the water

v_{2f} = v_2 + at

v_{2f} = 15.22 + (9.81)(2.06)

v_{2f} = 35.4 m/s

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