Which statement about the acceleration of an object is correct?
1 answer:
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Answer:
1. The stone will strike the ground 49.46 m from the base of the cliff
2. A) Approximately 0.542 seconds
B) Approximately 3.69 m/s
3. A) The time the ball spends in the air is approximately 4.0775 s
B) The horizontal range is approximately 141.25 m.
Explanation:
1. The time it takes the stone to land is given by the equation, t = √(h/(1/2 × g)
∴ t = √(30/(1/2 × 9.81)) ≈ 2.473 seconds
The horizontal distance covered by the stone in that time = 20 × 2.473 ≈ 49.46 m
The stone will strike the ground 49.46 m from the base of the cliff
2. A) The time the ball spends in the air = t = √(h/(1/2 × g)
∴ t = √(1.44/(1/2 × 9.81)) ≈ 0.542 seconds
B) The initial horizontal velocity, u = Horizontal distance/(Time) = 2/0.542 ≈ 3.69 m/s
The initial horizontal velocity ≈ 3.69 m/s
3. A) The time the ball spends in the air is given by the following equation;
t = 2 × u × sin(θ)/g = 2 × 40 × sin(30)/9.81 ≈ 4.0775 s
t ≈ 4.0775 s
B) The horizontal range, R, of the ball is given by the equation for the range of a projectile as follows;
Substituting the known values, gives;
The horizontal range ≈ 141.25 m.
Explanation:
Given mass of the object is 1200kg and it's placed at a height of 45m above the ground. As we know that potential energy is ,
where,
- m is the mass of the body .
- g is acceleration due to gravity.
- h is the height above the ground .
Substituting the respective values ,
Multiply ,
<u>Hence</u><u> the</u><u> </u><u>potential</u><u> energy</u><u> is</u><u> </u><u>5</u><u>4</u><u>0</u><u>0</u><u>0</u><u>0</u><u>J</u><u> </u><u>.</u>
<em>I </em><em>hope</em><em> this</em><em> helps</em><em>.</em>