Formulas: Weight w = mg; Acceleration of gravity g = 9.80 m/s^2. Two-dimensional

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Formulas: Weight w = mg; Acceleration of gravity g = 9.80 m/s^2. Two-dimensional projectile motion: x = x_0 + v_0,x t. y = y_0 = y_0 + v_0y t - 1/2gt^2. v_x = v_0x. v_y = v_0y Components of velocity: v, = v cos theta. V_y = v sin theta. Newton's second law summation F = ma Newton's law of universal gravitation: F = G m_1 m_2/r^2, where G = 6.67 times10 Nm^2/kg^2. Maximum static friction force: f_s,max = mew_sF_N; Kinetic friction force; f_k = meu_kF_N. Centripetal acceleration: a_c = v^2/t. Mass of the Earth: 5.98 times10^24 kg Radius of the Earth: 6.38times10^6 m. A person throws two identical stones from the top of a cliff overlooking a lake Stone 1 is thrown with an initial horizontal speed of 20 m/s while stone 2 is thrown with an initial horizontal speed of 40 m/s Neglect air resistance Stone 1 is observed to strike the surface of the lake with a vertical velocity of 30 m/s. Questions 1-6 refer to this situation. Which stone hits the water first? Stone 1; Stone 2; They hit at the same time Which stone strikes the water with a greater speed? Stone 1; Stone 2; They strike with the same speed. Immediately before they strike the water, which stone has the greater acceleration? Stone 1;

Explanation / Answer

Here

1) as the height of the cliff is same for both the stones ,

there is no initial vertical velocity

time taken to reach in the lake = srqt(2 * h/g)

the time will be same for both stones

hence , the correct option is c) they hit at the same time

2) as the initial potential energy is same for both while initial kinetic energy is greater for stone 2

the final energy will be greater for stone 2

hence , the stone 2 will strike the water with greater speed.

b. stone 2

3)

as the acceleration of both stones is same

acceleratio = acceleration due to gravity = 9.8 m/s^2

the correct option is c) the acceleartion will be same for both

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