Answer:
A) 24.7 m, B) 28.9 m/s²
Explanation:
Hooke's law states the force of a spring is equal to the spring constant times the change in length:
F = k ΔL
Solving for k:
k = F / ΔL
The spring constant is inversely proportional to the length:
k ∝ 1/L
Therefore:
k₁ L₁ = k₂ L₂
(F₁ / ΔL₁) L₁ = k₂ L₂
(mg / 1.30) (5.00) = k L
k = (5.00/1.30) (mg / L)
Initial energy = final energy
Initial gravitational energy = final gravitational energy + elastic energy
mgH = mgh + 1/2 k (ΔL)²
mg(H - h) = 1/2 k (ΔL)²
mg(60.0 - 10.0) = 1/2 k (ΔL)²
50mg = 1/2 k (ΔL)²
100mg = k (ΔL)²
The stuntman will fall a distance L and then an additional distance ΔL. We know this distance is equal to 60-10 = 50 m. L + ΔL = 50, so ΔL = 50 - L.
100mg = k (50 - L)²
100mg = k (2500 - 100L + L²)
100mg = (5.00/1.30) (mg / L) (2500 - 100L + L²)
26L = 2500 - 100L + L²
0 = L² - 126L + 2500
L = (126 ± √5876) / 2
L = 63 ± √1469
L ≈ 24.7 m, 101 m
Obviously L can't be more than 50.0 m, so L = 24.7 m.
As a mass on a spring, the stuntman will follow simple harmonic motion, so his maximum acceleration will be experienced at his minimum velocity, or at the very bottom.
∑F = ma
k ΔL - mg = ma
(5.00/1.30) (mg / L) ΔL - mg = ma
(5.00/1.30) (g / L) ΔL - g = a
(5.00/1.30) (9.81 / 24.7) (50.0 - 24.7) - 9.81 = a
a = 28.9 m/s²
Answer:
The more efficient the machine, the less energy wasted. For example, if a heat engine is able to turn 75 percent of the fuel it receives into motion, while 25 percent is lost as heat in the process, it would be 75 percent efficient
mark me brainliest please
Answer:
The velocity of an object is the rate of change of its position with respect to a frame of reference, and is a function of time. Velocity is equivalent to a specification of an object's speed and direction of motion (e.g. 60 km/h to the north).
Answer:
Acceleration = 6m/s²
Explanation:
<u>Given the following data;</u>
Initial velocity = 35m/s
Final velocity = 65m/s
Time = 5 seconds
To find the acceleration;
In physics, acceleration can be defined as the rate of change of the velocity of an object with respect to time.
This simply means that, acceleration is given by the subtraction of initial velocity from the final velocity all over time.
Mathematically, acceleration is given by the equation;
Where,
- a is acceleration measured in
- v and u is final and initial velocity respectively, measured in
- t is time measured in seconds.
Substituting into the equation, we have
<em>Acceleration = 6m/s²</em>
<u>First Symbol </u>: Cobalt (Co)
Its Group Number - 9
Its Period Number - 4
Its Family Name - Transition Metal
<u>Second Symbol</u> : Silicon (Si)
Its Group Number - 14
Its Period Number - 2
Its Family Name - Semiconductor
<u>Third Symbol</u> : Astatine (At)
Its Group Number - 17
Its Period Number - 6
Its Family Name - Halogen
<u>Fourth Symbol </u>: Magnesium (Mg)
Its Group Number - 2
Its Period Number - 3
Its Family Name - Alkaline Earth Metal
<u>Fifth Symbol</u> : Xenon (Xe)
Its Group Number - 18
Its Period Number - 5
Its Family Name - Noble Gas
