Answer:
The maximum range is 300% of the range of the projectile is projected at an angle of 9.74°.
None of the options are correct.
Explanation:
Normally, ignoring air resistance, for projectile motion, the range (horizontal distance travelled) of the motion is given as
R = (u² sin 2θ)/g
where
u = initial velocity of the projectile
θ = angle above the horizontal at which the projectile was launched
g = acceleration due to gravity = 9.8 m/s²
The range is maximum when θ = 45°
R when θ = 45° is
R = (u² sin 90°)/g = (u²/g)
We are then told that this maximum range is 300% of the value obtainable for the range at a particular angle
Maximum range = 3R
(u²/g) = 3(u² sin 2θ)/g
Sin 2θ = (1/3)
2θ = sin⁻¹ (1/3) = 19.47°
θ = (19.47°/2) = 9.74°
Hope this Helps!!!
Answer:
Explanation:
Given that,
Basket ball is drop from height
H=10m
It is dropped on planet mass
And the acceleration due to gravity on Mars is given as
g= 3.7m/s²
Time taken for the ball to reach the ground
Initial velocity of the body is zero
u=0m/s
Using equation of motion: free fall
H = ut + ½gt²
10 = 0•t + ½ × 3.7 ×t²
10 = 0 + 1.85t²
10 = 1.85t²
Then, t² =10/1.85
t² = 5.405
t = √ 5.405
t = 2.325seconds
So the time the ball spend on the air before reaching the ground is 2.325 seconds
Answer:
Explanation:
Wave length of sound from each of the speakers = 340 / 1700 = .2 m = 20 cm
Distance between first speaker and the given point = 4 m.
Distance between second speaker and the given sound
= √ 4² + 2² = √16 +4 = √20 = 4.472 m
Path difference = 4.472 - 4 = .4722 m.
Path difference / wave length = 0.4772 / 0.2 = 2.386
This is a fractional integer which is neither an odd nor an even multiple of half wavelength. Hence this point of neither a perfect constructive nor a perfect destructive interference.
Answer:
The magnitude of the Force is 
and the direction is South
Explanation:
From the question we are told that
The magnetic field point due west and since East point toward the positive x -axis
then this magnetic field would be mathematically represented as
Now from the question we are told that the kinetic energy is
Now this kinetic energy can be mathematically represented as
Where m is the mass of proton which has a general value of
Now making the subject of the formula
Substituting values we have
Now from the question we are told that proton is moving upward which is in the positive z direction so the velocity of the proton would be in the positive
So the velocity would be
Now the magnetic Force can be mathematically represented as
Where q is the charge on the proton which has a general value of 
Now substituting the value
Now according to Fleming's left hand rule the direction of the magnetic force is south toward the negative Y - direction 
So the force can be denoted as
Answer:
Las presión ejercida por los tacos sobre el suelo es 900 libras por pulgada cuadrada.
Explanation:
Según la Física, comprendemos que la presión es igual a la fuerza dividida por área. En este caso, el peso de la persona dividida por área total de los tacos de los zapatos de golf suponiendo una distribución uniforme de la fuerza. Es decir:
(Eq. 1)
Donde:
- Presión, medida en libras por pulgada cuadrada.
- Peso de la persona, medida en libras.
- Cantidad de tacos en los zapatos, adimensional.
- Área del taco, medida en pulgadas cuadradas.
Si conocemos que 
, 
y 
, la presión es:
Las presión ejercida por los tacos sobre el suelo es 900 libras por pulgada cuadrada.
