Answer:
The horizontal distance d that the ball covers before it lands is 1.72 m.
Explanation:
Given,
Height of ramp 
Height of bottom of ramp 
Diameter = 0.17 m
We need to determine the horizontal distance d the ball travels before landing.
We need to calculate the time
Using the equation of motion




Next, we can find the ball's velocity
Using the kinetic energy formula



By applying the conservation of energy



We substitute the values into the equation


Next, we determine the horizontal distance d the ball travels before landing
Using the distance formula

Where. d = distance
t = time
v = velocity
We substitute the values into the formula


Thus, the horizontal distance d that the ball travels before it lands is 1.72 m.
I would choose B or D, based on the location. If it’s situated in South Kensington, London, then D might be appropriate. Conversely, if it’s in an underprivileged area, I'd opt for B.
Answer:
155.38424 K
2.2721 kg/m³
Explanation:
= Reservoir pressure = 10 atm
= Reservoir temperature = 300 K
= Exit pressure = 1 atm
= Exit temperature
= Specific gas constant = 287 J/kgK
= Specific heat ratio = 1.4 for air
Assuming isentropic flow

Flow temperature at exit is 155.38424 K
Density at exit can be derived using the ideal gas equation

Flow density at exit measures 2.2721 kg/m³
F = π/4 ρ d² v²
Explanation:
The formula for force is mass multiplied by acceleration:
F = ma
Acceleration is defined as the change in velocity over the change in time:
F = m Δv / Δt
Since there is no rebound effect, Δv is equal to v.
F = m v / Δt
Mass can be calculated as density multiplied by volume:
F = ρ V v / Δt
Flow rate describes the volume per time:
F = ρ Q v
Flow rate is determined by velocity multiplied by the cross-sectional area:
F = ρ (v A) v
This simplifies to F = ρ A v²
The area of a circle is calculated as pi times the square of the radius, or as pi/4 times the diameter squared:
F = ρ (π/4 d²) v²
Hence, F = π/4 ρ d² v²