Answer:
amplitude = 14 cm; wavelength = 7 cm; period = 12 seconds
Explanation:
5.0 kg
B
25 N
C
49 kg
D
49 N
The weight of a 5.0-kilogram object at the surface of Earth is 49 N. Hence, option (C) is correct.
Mass is a fundamental quantity in physics and the most fundamental attribute of matter. Mass can be defined as the amount of matter contained in a body. Kilogram is the SI unit of mass (kg).
A body's mass does not alter at any time. Only in severe instances where a massive amount of energy is provided or removed from the body.
The force of gravity acting on a body is measured by weight. The weight formula is as follows: w = mg. Because weight is a force, it has the same SI unit as force; the SI unit of weight is Newton (N).
The weight of the object is = 5.0 × 9.8 N
= 49.0 N.
Hence, option (B) is correct.
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Answer:
49 N (d)
Explanation:
w= mg = 5 kg * 9.8 m/s^2 = 49 N
Answer:
Density = 1.1839 kg/m³
Mass = 227.3088 kg
Specific Gravity = 0.00118746 kg/m³
Explanation:
Room dimensions are 4 m, 6 m & 8 m. Thus, volume = 4 × 6 × 8 = 192 m³
Now, from tables, density of air at 25°C is 1.1839 kg/m³
Now formula for density is;
ρ = mass(m)/volume(v)
Plugging in the relevant values to give;
1.1839 = m/192
m = 227.3088 kg
Formula for specific gravity of air is;
S.G_air = density of air/density of water
From tables, density of water at 25°C is 997 kg/m³
S.G_air = 1.1839/997 = 0.00118746 kg/m³
Answer:
Distance = 1.2 km (Approx)
Explanation:
Given:
Temperature (T) = 30°C
Total Time taken (t) = 3.4 Sec
We know that sound increases in the air sound increase nearly 0.60 m/s for every sound with temperature.
Speed of sound = 331 m/s
So,
V = (331 + 0.60T) m/s
V = 331+(0.60×300C) m/s
V = 349 m/s
Distance = speed × time
Distance = 349 × 3.4
Distance = 1,186.6 m
Distance = 1.2 km (Approx)
Answer:
v(t) = 21.3t
v(t) = 5.3t
Explanation:
When no sliding friction and no air resistance occurs:
where;
Taking m = 3 ; the differential equation is:
By Integration;
since v(0) = 0 ; Then C = 0
v(t) = 21.3t
ii)
When there is sliding friction but no air resistance ;
Taking m =3 ; the differential equation is;
By integration; we have ;
v(t) = 5.3t
iii)
To find the differential equation for the velocity (t) of the box at time (t) with sliding friction and air resistance :
The differential equation is :
=
=
By integration
Since; V(0) = 0 ; Then C = -48
Answer:
Emf induced in the loop is 0.02V
Explanation:
To get the emf of induced loop, we have to use faraday's law
ε = - dΦ/dt
To get the flux, we use;
Φ = BA cos(θ)
B = The uniform magnetic field
A = Area of rectangular loop
θ = angle between magnetic field and normal to the plane of loop
substitute the flux equation (Φ) into the faraday's equation
we have ε = - d(BA cos(θ)) / dt
ε = BA sinθ dθ/dt
from the question;B = 0.18T, A=0.15m2, θ = π/2 ,dθ/dt = 0.75rad/s
Our equation will now look like this;
ε = (0.18T) (0.15m2) (sin(π/2)) (0.75rad/s)
ε = 0.02V
Answer:
Explanation:
The equilibrium position of the sub is at the surface of the lake