Answer:
The distance from the building is 11.41 m.
Explanation:
Given that,
Speed = 30.0 m/s
Angle = 45.0°
Distance = 10.0 m
We need to calculate the vertical component
Using formula of vertical component
We need to calculate the time
Using equation of motion
Put the value into the formula
On neglecting of higher value of t
Then use the horizontal component
We need to calculate the distance
Put the value into the formula
Hence, The distance from the building is 11.41 m.
Answer:
10.53m/s²
Explanation:
Centripetal acceleration is the acceleration of an object about a circle. The formula for calculating centripetal acceleration is expressed by:
v is the velocity of the car = 24.5m/s
r is the radius of the track = 57.0m
Substitute the given values into the formula:
Hence the centripetal acceleration of the race car is 10.53m/s²
Answer:
5.76 cm³
Explanation:
Using the equation for volume expansivity,
V = V₀ + V₀γΔθ) where V₀ = volume of cube = volume of mercury = 400 cm³, γ = cubic expansivity of mercury = 18 × 10⁻⁵ /K and Δθ temperature change = θ₂ - θ₁ where θ₁ = 0 °C and θ₂ = 80°C. So, Δθ = 80°C - 0°C = 80°C = 80 K
Now, the volume change, ΔV = V - V₀ = V₀γΔθ.
So, substituting the values of the variables into the equation, we have
ΔV = V₀γΔθ
= 400 cm³ × 18 × 10⁻⁵ /K × 80 K
= 5.76 cm³
So the mercury will overflow by 5.76 cm³.
Answer:
here w means work done as we can see that it is the formula for work done where f is force and d is distance travelled. Hope it helped :-)
Explanation:
Answer:
1) Force on top face
2)Force on the side face
Explanation:
a)
We know that
Pressure shall be calculated at a depth of (1-0.45) meters from the top of the water surface
Thus force is calculated as under
b)
The force on one of it's sides is calculated in the same manner except that the pressure is obtained at the centroidal level of the face of cube
Thus