Answer:
The transnational kinetic energy of the yo-yo is 0.083 J.
Explanation:
Given that,
Force=0.24 N
Distance in up= 0.17 m
Distance in down = 0.26 m
Mass of yo-yo = 0.057 kg
Initial speed = 2.4 m/s
Suppose we find the increase in the transnational kinetic energy of the yo-yo
The transnational kinetic energy is equal to the change in potential energy.
We need to calculate the transnational kinetic energy of the yo-yo
Using conservation of energy
Where, F = force
h = height
m = mass of yo-yo
Put the value into the formula
Hence, The transnational kinetic energy of the yo-yo is 0.083 J.
Answer:
1.) Displacement = 32.08m
2.) Velocity = 55km/h
3.) Acceleration = 94.29 km/h^2
Explanation:
Given that the train takes 35 minutes to cover the distance between the two towns. The train's average speed is 55 kilometers per hour. That is,
Time t = 35 minute
Convert it to hours by dividing it by 60
35/60 = 7/12 hours
Speed = 55 km/h
The displacement of the car is:
Displacement = 55 × 7/12 = 32.08 m
The velocity of the car will be 55 km/h
The acceleration of the car will be:
Acceleration = velocity/time
Substitute velocity and time into the formula
Acceleration = 55 ÷ 7/12
Acceleration = 94.29 km/h^2
Since g is constant, the force the escaping gas exerts on the rocket will be 10.4 N
<h3>
What is Escape Velocity ?</h3>
This is the minimum velocity required for an object to just escape the gravitational influence of an astronomical body.
Given that the velocity of a 0.25kg model rocket changes from 15m/s [up] to 40m/s [up] in 0.60s. The gravitational field intensity is 9.8N/kg.
To calculate the force the escaping gas exerts of the rocket, let first highlight all the given parameters
- Mass (m) of the rocket 0.25 Kg
- Initial velocity u = 15 m/s
- Final Velocity v = 40 m/s
- Gravitational field intensity g = 9.8N/kg
The force the gas exerts of the rocket = The force on the rocket
The rate change in momentum of the rocket = force applied
F = ma
F = m(v - u)/t
F = 0.25 x (40 - 15)/0.6
F = 0.25 x 41.667
F = 10.42 N
Since g is constant, the force the escaping gas exerts on the rocket is therefore 10.4 N approximately.
Learn more about Escape Velocity here: brainly.com/question/13726115
#SPJ1
Answer:
Shear resistance of a inclined stirrup is given by
Vᵇ = Asb(0.95*Fy)(cos α - sin α*cotβ) ((d-d')/sᵇ)
Explanation:
The shear resistance is checked in accordance with BS8110: Part 1, section 3.5.5. Shear resistance of a inclined stirrup is given by
Vᵇ = Asb(0.95*Fy)(cos α - sin α*cotβ) ((d-d')/sᵇ)
where,
Vᵇ=design shear resistance of inclined bars
Asb=cros-sectional area of the inclined bars
Fy=characteristics strength of the stirrups
α=angle between the inclined bars and the axis of the beam
β=angle between the compression strut of inclined bars and the axis of the beam
sᵇ=spacing of the inclined bars
d= effective depth and d'=effective depth minus cover to reinforcement
The shear stress is given by
v=V/bd
where V is the shear force due to ultimate loads. If v is shear stress
