The range (maximum horizontal distance) travelled by a projectile is given by the formula
R = V^2(sin 2A)/g
where
R = range
V = initial velocity of ball = 64 ft/sec. (given)
A = angle of launch = 45 degrees (given)
g = acceleration due to gravity = 32.2 ft/sec^2 (constant)
Substituting values,
R = 64^2(sin 2*45)/9.8
R = 127.20 feet
Since the receiver is 60 yards away (180 feet), he will have to travel a distance of 180 - 127.20 = 52.80 feet to catch the ball.
The ball's total travel time is given by the formula
T = 2V(sin A)/g
where all the terms have been previously defined.
Substituting values,
T = 2(64)(sin 45)/32.2
T = 2.82 sec.
Therefore, in order for the receiver to catch the ball, his speed must be equal to
52.80/2.82 = 18.72 ft/sec.
Hope this helps ya
Answer:
9.4 m
Explanation:
We can use a moving frame of reference with the same speed as the car. From this frame of reference the car doesn't move. The origin is at the back of the car, the positive X axis points back and the positive Y axis points up.
If the ballon is launched at 9.7 m/s at 39 degrees of elevation.
Vx0 = 9.7 * cos(39) = 7.5 m/s
Vy0 = 9.7 * sin(39) = 6.1 m/s
If we ignore air drag, the baloon will be subject only to the acceleration of gravity. We can use the equation of position under constant acceleration.
Y(t) = Y0 + Vy0 * t + 1/2 * a * t^2
Y0 = 0
a = -9.81 m/s^2
It will fall when Y(t) = 0
0 = 6.1 * t - 4.9 * t^2
0 = t * (6.1 - 4.9 * t)
t1 = 0 (this is when the balloon was launched)
0 = 6.1 - 4.9 * t2
4.9 * t2 = 6.1
t2 = 6.1 / 4.9 = 1.25 s
The distance from the car will be the horizonta distance it travelled in that time
X(t) = X0 + Vx0 * t
X(1.25) = 7.5 * 1.25 = 9.4 m
Answer:
I'm gonna go with compund
Answer:
Radius between electron and proton
Explanation:
The motion of the electron is carried out in the orbit due to the balancing of the electrostatic force between the proton and the electron and the centripetal force acting on the electron.
The electrostatic force is given as = 
Where,
k = coulomb's law constant (9×10⁹ N-m²/C²)
q₁ and q₂ = charges = 1.6 × 10⁻¹⁹ C
r = radius between the proton and the electron
Also,
Centripetal force on the moving electron is given as:
=
where,
= mass of the electron (9.1 ×10⁻³¹ kg)
V = velocity of the moving electron (given: 6.1 ×10⁵ m/s)
Now equating both the formulas, we have
=
⇒
substituting the values in the above equation we get,
⇒
Answer:
La transformación energética, transformación de la energía, conversión energética o conversión de la energía es el proceso de cambiar la energía de un tipo de energía a otro. En física, la energía es una cantidad que proporciona la capacidad de realizar un trabajo (por ejemplo, levantar un objeto) o proporciona calor. Además de ser convertible, de acuerdo con la ley de conservación de la energía, la energía es transferible a una ubicación u objeto diferente, pero no se puede crear ni destruir.
La energía en muchas de sus formas se puede utilizar en procesos naturales o para proporcionar algún servicio a la sociedad, como calefacción, refrigeración, iluminación o realizar trabajos mecánicos para operar máquinas. Por ejemplo, para calentar una casa, el horno quema combustible, cuya energía potencial química se convierte en energía térmica, que luego se transfiere al aire de la casa para elevar su temperatura.
Explanation:
