Answer:
The correct answer is "21195 N".
Explanation:
The given values are:
Tensile strength,
= 3000 MN/m²
Diameter,
= 3.0 mm
i.e.,
= 3×10⁻³ m
Now,
The maximum load will be:
=
On substituting the values, we get
=
=
=
The maximum load that can be applied to a 3.0 mm diameter steel wire with a tensile strength of 3000 MN/m2 without breaking it is 21,200 Newtons.
The subject of this question revolves around the concept of tensile strength in the field of Physics. The maximum load that can be applied to a wire without it breaking depends on the wire's tensile strength and its cross-sectional area. For a steel wire with a tensile strength of 3000 MN/m2 and a diameter of 3.0 mm, we first need to calculate the cross-sectional area, which can be found using the formula for the area of a circle, A = πr^2, where r is the radius of the wire. Given the diameter is 3.0 mm, the radius will be 1.5 mm or 1.5 x 10^-3 m. So, A = π(1.5 x 10^-3 m)^2 ≈ 7.07 x 10^-6 m^2.
We can then use the tensile strength (σ) to find the maximum load (F) using the equation F = σA. Substituting the given values, we get F = 3000 MN/m^2 * 7.07 x 10^-6 m^2 = 21.2 kN, which is equivalent to 21,200 N. Therefore, the maximum load that can be applied to the wire without breaking it is 21,200 Newtons.
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Explanation:
It is given that,
Distance, r = 3.5 m
Electric field due to an infinite wall of charges, E = 125 N/C
We need to find the electric field 1.5 meters from the wall, r' = 1.5 m. Let it is equal to E'. For an infinite wall of charge the electric field is given by :
It is clear that the electric field is inversely proportional to the distance. So,
E' = 291.67 N/C
So, the magnitude of the electric field 1.5 meters from the wall is 291.67 N/C. Hence, this is the required solution.
Answer:
a. 409.5 m/s b. f₁ = 136.5 Hz, f₂ = 409.5 Hz, f₃ = 682.5 Hz
Explanation:
a. The speed of sound v in a gas is v = √(B/ρ) where B = bulk modulus and ρ = density. Given that on Venus, B = 1.09 × 10⁷ N/m² and ρ = 65.0 kg/m³
So, v = √(B/ρ)
= √(1.09 × 10⁷ N/m²/65.0 kg/m³)
= √(0.01677 × 10⁷ Nm/kg)
= √(0.1677 × 10⁶ Nm/kg)
= 0.4095 × 10³ m/s
= 409.5 m/s
b. For a pipe open at one end, the frequency f = nv/4L where n = mode of wave = 1,3,5,.., v = speed of wave = 409.5 m/s and L = length of pipe = 75.0 cm = 0.75 m
Now, for the first mode or frequency, n = 1
f₁ = v/4L
= 409.5 m/s ÷ (4 × 0.75 m)
= 409,5 m/s ÷ 3 m
= 136.5 Hz
Now, for the second mode or frequency, n = 2
f₂ = 3v/4L
= 3 ×409.5 m/s ÷ (4 × 0.75 m)
= 3 × 409,5 m/s ÷ 3 m
= 3 × 136.5 Hz
= 409.5 Hz
Now, for the third mode or frequency, n = 5
f₃ = 5v/4L
= 5 × 409.5 m/s ÷ (4 × 0.75 m)
= 5 × 409,5 m/s ÷ 3 m
= 682.5 Hz
Answer:
1838216 J
Explanation:
95 km/h = 26.39 m/s
40 km/h = 11.11 m/s
Initial kinetic energy
= .5 x 1600 x(26.39)²
= 557145.67 J
Final kinetic energy
= .5 x 1600 x ( 11.11)²
= 98745.68 J
Loss of kinetic energy
= 458400 J
Loss of potential energy
= mg x loss of height
= 1600 x 9.8 x 340 sin 15
= 1379816 J
Sum of Loss of potential energy and Loss of kinetic energy
= 1379816 + 458400
= 1838216 J
This is the work done by the friction . So this is heat generated.
To calculate the thermal energy dissipated from the brakes of a car, use the equation Q = Mgh/10, where Q is the energy transferred to the brakes, M is the mass of the car, g is the acceleration due to gravity, and h is the height of the hill. The temperature change of the brakes can then be calculated using the equation Q = mc∆T, where m is the mass of the brakes and c is its specific heat capacity.
The thermal energy dissipated from the brakes of a car can be calculated by converting the gravitational potential energy lost by the car into internal energy of the brakes. By using the equation Q = Mgh/10, where Q is the energy transferred to the brakes, M is the mass of the car, g is the acceleration due to gravity, and h is the height of the hill, we can calculate the thermal energy dissipated. From there, the temperature change of the brakes can be calculated using the equation Q = mc∆T, where m is the mass of the brakes and c is its specific heat capacity.
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Answer:
d) 2x+10
Explanation:
Which of the following expressions is equivalent to the expression 2(x + 5)?
take 2 as common from both the terms :-
Hope u got what u were looking for
Explanation:
For Part (a)
Since the apparent wavelength decreases hence galaxy moving towards the stationary observer.
Δλ/λ=v/c
For Part (b)
Since the apparent wavelength increases hence galaxy moving towards the stationary observer.
Δλ/λ=v/c
Answer:
306.8264448 m
47.0016 m/s
Explanation:
t = Time taken
u = Initial velocity
v = Final velocity
s = Displacement
a = Acceleration
Distance traveled by car
Distance traveled by truck
In order to overtake both distances should be equal
The distance the car has to travel is 306.8264448 m
The speed of the car when it overtakes the truck is 47.0016 m/s