Answer:
1.56 J
Explanation:
given,
Spring compression, x = 2.5 cm
Force exerts by the spring,
F = - k x
k = 5000 N/m
Potential energy stored = ?
energy stored in the spring
PE = 1.56 J
Hence, the potential energy stored in the car is equal to 1.56 J.
Answer:
(a) v = 65.35 m/s
(b) ac = 82.16 m/s²
Explanation:
Kinematic of the blades of the wind turbine
The blades of the wind turbine describe circular motion and the formulas that apply to this movement are as follows:
v = ω * R Formula (1)
Where:
v : tangential velocity (m/s)
ω : angular velocity (rad/s)
R : radius of the particle path (m)
The velocity vector is tangent at each point to the trajectory and its direction is that of movement. This implies that the movement has centripetal acceleration (ac):
ac = ω²* R Formula (1)
ac : centripetal acceleration (m/s²)
Data:
ω= 12 rpm = 12 rev/min
1 rev = 2π rad
1 min = 60 s
ω= 12 rev/min = 12 (2π rad)/(60 s)
ω = 1.257 rad/s
R = 52 m
(a)Tangential velocity at the tip of a blade (v)
We apply the formula (1)
v = ω* R
v = ( 1.257)* (52) = 65.35 m/s
(a) Centripetal acceleration at the tip of a blade (ac)
We apply the formula (2)
ac = ω²*R
ac = ( 1.257)²* (52) = 82.16 m/s²
The Specific Heat Capacity of the liquid is 43.846 KJ/(Kg K).
- It is given that Mass of liquid (M) = 0.0012Kg, Initial temperature (T1) = 23°C, Final temperature (T2) = 62°C, Voltage (V) = 8v, Current (I) = 0.95A, Time (t) = 270s
- The quantity of heat that must be applied to an object in order to cause a unit change in temperature is known as the heat capacity or thermal capacity of that object.
- We know that heat capacity for a substance is :
- H = m*C*ΔT - equation (1)
- When a conductor is subjected to current flow, the conductor's free electrons are set in motion and collide with one another. Moving electrons experience kinetic energy loss and partial thermal energy conversion as a result of the collision. This impact of current is referred to as its heating effect.
- Due to electric current, heat energy is :
- H = Power * Time
- H = Current * Voltage * Time
- H = I*V*t - equation (2)
- Using equation (1) and (2),
- m*C*ΔT = I*V*t
- Substituting the values for m, ΔT, I, V and t.
- 0.0012Kg * C * (62 - 23)K = 0.95A * 8v * 270s
- Solving for C, we get C = 43.846 KJ/(Kg K)
To learn more about Specific Heat Capacity visit :
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Answer:
The length of the specimen after the load is released is 11.67 cm
Explanation:
Given;
yield stress, Y = 350 MPa
ultimate tensile stress, T = 300 MPa
Elongation factor, e = yield stress, Y / ultimate tensile stress, T
Elongation factor, e = 350 Mpa / 300 Mpa
Elongation factor, e = 1.1667
New length of the specimen = 1.1667 x 10 cm = 11.67 cm
Therefore, when the load is released from 10 cm long tensile specimen, the length of the specimen becomes 11.67 cm
