Answer:
1- The lank with the least slope will be the easiest to climb because it will require the least force.
2- All three paths will require the same energy as the work done will be the same in all three cases.
Explanation:
1- Work done W = Force x Displacement i.e. W = F × cosФ where 'Ф' is the angle between force and displacement. Smaller the angle least is the force required to climb. Hence the path with least slope will be easier to climb.
2- Since W = F × cosФ as the angle increase cos Ф decrease which means the slope is increase and consequently the force required also increases but the total work done remains the same. Hence the energy required to climb all three Lanks will be the same.
Answer:
Speed of ball equals 6.024 m/s.
Explanation:
Let the student throw the ball with a velocity of 'v' m/s horizontally.
Now the time in which the ball travels 10.0 meter horizontally shall be equal to the time in which it travels (15.0-1.50) meters vertically
Hence the time taken to cover a vertical distance of 13.50 meters is obatined using 2 equation of kinematics as
Since there is no acceleration in horizantal direction we infer that in time of 1.66 seconds the ball travels a distance of 10 meters
Hence the spped of throw is obatines as
Answer : The volume of the tank is, 1.54 mL
Explanation :
To calculate the volume of gas we are using ideal gas equation:
where,
P = pressure of gas = 300 kPa = 2.96 atm
Conversion used : (1 atm = 101.325 kPa)
V = volume of gas = ?
T = temperature of gas =
R = gas constant = 0.0821 L.atm/mole.K
w = mass of gas = 4.6 kg = 4600 g
M = molar mass of air = 28.96 g/mole
Now put all the given values in the ideal gas equation, we get:
(1 L = 1000 mL)
Therefore, the volume of the tank is, 1.54 mL
The range, R, of a projectile based on its angle of projection ∅ and velocity v can be directly calculated by:
R = (v²sin2∅)/g
Let the v of ball 1 be v₁
R₁ = (v₁²sin(2*30))/g
v₂ = 2v₁
R₂ = ((2v₁)²sin(2*30))/g
R₂ = 4[(v₁²sin(2*30))/g]
R₂ = 4R₁
So ratio of d2/d1 = 4
It will be a red giant for about 5 billion years