Which combination of initial horizontal velocity, (vh) and initial vertical velocity, (vv) results in the greatest horizontal ra

Answer:

1. The force applied by the shelf supporting the book.

Explanation:

The free body diagram for the book is represented as follows:

1 - The weight of the book acting downward

2 - The normal force exerted by the shelf upward on the book.

As the book remains stationary, these two forces balance each other, and in accordance with Newton's Third Law, the reactive force equivalent to gravity is opposite and equal to the weight of the book. This reaction force prevents the book from falling off the shelf.

The force can be determined using the equation F (force) = mass * acceleration. The unit of measurement, N (Newton), is equivalent to kilogram-meter/seconds2.
Thus, F= 1300 kg * 1.07 m/s2 = 1391 N.
The resultant value is 1391 N.

Answer:

3.5 cm

Explanation:

mass, m = 50 kg

diameter = 1 mm

radius, r = half the diameter = 0.5 mm = 0.5 x 10^-3 m

L = 11.2 m

Y = 2 x 10^11 Pa

Cross-sectional area of the wire = π r² = 3.14 x 0.5 x 10^-3 x 0.5 x 10^-3

= 7.85 x 10^-7 m^2

Let the change in length of the wire be ΔL.

The equation for Young's modulus is given by

ΔL = 0.035 m = 3.5 cm

Thus, the wire stretches by 3.5 cm.

Answer:

a) La velocidad promedio del récord de la carrera es de 35.2 km/h

b) El tiempo que tomará cubrir la primera mitad es 2h 42 min.

Explicación:

a) Para calcular la velocidad promedio del récord, se divide la distancia total por el tiempo:

v = distancia / tiempo

Ahora, expresaremos el tiempo en horas:

si 60 s es 1 min, entonces 37 s será (37 s · 1 min/60 s) 0.62 min.

Si 60 min es 1 h, entonces 40.62 min será (40.62 min · 1 h/60 min) 0.68 h.

Por lo tanto, el tiempo récord es 5.68 h.

La velocidad promedio será:

v = 2.00 × 10² km / 5.68 h = 35.2 km/h

b) Ahora que tenemos la velocidad y la distancia, podemos determinar el tiempo que le tomará al patinador cubrir esa distancia:

La velocidad será:

v = 1.05v = 1.05 · 35.2 km/h = 37.0 km/h

La distancia será:

2.00 × 10² km / 2 = 1.00 × 10² km

Luego:

v = distancia / tiempo

tiempo = distancia / v = 1.00 × 10² km / 37.0 km/h = 2.70 h

Si 1 h son 60 min, 0.70 h será (0.70 h · 60 min/h) 42 min.

Entonces, el tiempo necesario para cubrir la primera mitad es de 2h 42 min.

Answer:

The increase in pressure within the engine block of the car amounts to 1782.18 ATM.

Explanation:

Provided:

the volume change of water, ΔV = 9%

the bulk modulus for ice, K = 2 x 10⁹ N/m²

It is calculated using the bulk modulus formula;

so when the water freezes, the pressure increase in the automobile engine block is;

Thus, the final pressure increase inside the automobile engine block is 1782.18 ATM.