The atomic mass of an atom (in amu) is equal to
1 answer:
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Answer:
a) 4.65m/s
b) 59.8 N , 1.01125 N
Explanation:
a)
m = mass of the ball = 1 kg
r = length of the string = 2.0 m
h = height gained by the ball as it moves from lowest to topmost position = 2r = 2 x 2 = 4 m
v = speed at the lowest position = 10 m/s
v' = speed at the topmost position = ?
Using conservation of energy
Kinetic energy at topmost position + Potential energy at topmost position = Kinetic energy at lowest position
(0.5) m v'² + m g h = (0.5) m v²
(0.5) v'² + g h = (0.5) v²
(0.5) v'² + (9.8 x 4) = (0.5) (10)²
v' = 4.65m/s
b)
T' = Tension force in the string when the ball is at topmost position
T = Tension force in the string when the ball is at lowest position
At the topmost position:
force equation is given as
T' = 1.01125 N
At the lowest position:
force equation is given as
T = 59.8 N
Answer:
v = 14 ft/s
Explanation:
- By definition, the average velocity, is just the rate of change of the position, with respect to time, which can be written as follows:
- Defining the vertical position as the y-coordinate, with the origin at ground level, and the upward direction as positive, we can write (1) as follows:
- where yf = 54 ft, y₀ = 47 ft, tif = 1.5 s, t₀ = 1s.
- Replacing in (2) we get: