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abruzzese [7]
3 years ago
5

A 5.00 g projectile has a velocity of 255 m/s right. Find the force to stop this projectile in 1.45s.

Physics
1 answer:
Stells [14]3 years ago
8 0

Explanation:

The X-component of the velocity = Vcosx. Where, V = magnitude of the velocity. The x component of velocity will depend on the diagram. It the angle is measured from the x-axis which is considered the horizontal then Vx = Vcos(theta). The magnitudes of the components of velocity v → are v x = v cos θ and v y = v sin θ , v x = v cos θ and v y = v sin θ , where v is the magnitude of the velocity and θ is its direction relative to the horizontal, as shown in Figure 4.12. Derivation of the Trajectory Formula.

y = refers to the vertical position of the object in meters. x = refers to the horizontal position of the object in meters. Horizontal velocity component: Vx = V * cos(α)

Vertical velocity component: Vy = V * sin(α)

Time of flight: t = [Vy + √(Vy² + 2 * g * h)] / g.

Range of the projectile: R = Vx * [Vy + √(Vy² + 2 * g * h)] / g.

Maximum height: hmax = h + Vy² / (2 * g)

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At the bottom of the tank :

P = ρgH

P = (1000 kg/m³)(10 m/s²)(1 m)

P = 10000 N/m²

F = P • A

F = (10000 N/m²)(1 m²)

F = 10000 N

At the side of the tank :

Pav = ½ρgH

Pav = ½(1000 kg/m³)(10 m/s²)(1 m)

Pav = 5000 N/m²

F = P • A

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F = 5000 N

3 0
2 years ago
Jupiter's satellite Europa orbits Jupiter with a period of 3.55 d at an orbital radius of 6.71 108 m (assume the orbit to be cir
yawa3891 [41]

Answer:

(a)

M = 1.898 x 10^27 kg

(b)

v = 13.74 km/s

(c) E = 0.28 N/kg

Explanation:

Time period, T = 3.55 days = 3.55 x 24 x 3600 second = 306720 s

Radius, r = 6.71 x 10^8 m

G = 6.67 x 10^-11 Nm^2/kg^2

(a) T=2\pi \sqrt{\frac{r^{3}}{GM}}

M=\frac{4\pi ^{2}r^{3}}{GT^{2}}

M=\frac{4\times3.14^{2}\times 6.71^{3}\times 10^{24}}{6.67\times 10^{-11}\times 306720^{2}}

M = 1.898 x 10^27 kg

(b) Let v be the orbital velocity

v=\frac{2\pi r}{T}

v=\frac{2\times 3.14\times 6.71\times 10^{8}}{306720}

v = 13739.5 m/s

v = 13.74 km/s

(b) The gravitational field E is given by

E = \frac{GM}{r^{2}}

E = \frac{6.67\times10^{-11}\times 1.898\times 10^{27}}{6.71^{2}\times 10^{16}}

E = 0.28 N/kg

6 0
3 years ago
Two air craft P and Q are flying at the same speed 300m/s. The direction along which P is flying is at right angles to the direc
Lerok [7]

Answer:

424.26 m/s

Explanation:

Given that Two air craft P and Q are flying at the same speed 300m/s. The direction along which P is flying is at right angles to the direction along which Q is flying. Find the magnitude of velocity of the air craft P relative to air craft Q

The relative speed will be calculated by using pythagorean theorem

Relative speed = sqrt(300^2 + 300^2)

Relative speed = sqrt( 180000 )

Relative speed = 424.26 m/s

Therefore, the magnitude of velocity of the air craft P relative to air craft Q is 424.26 m/s

7 0
3 years ago
Does gravity has mass ?​
Natasha_Volkova [10]
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3 0
3 years ago
Read 2 more answers
A spring with k = 15.3 N/cm is initially stretched 1.81 cm from its equilibrium length. a) How much more energy is needed to fur
leonid [27]

Answer:

2.31J

Explanation:

the energy for a spring system is given by:

E=\frac{1}{2} kx^2

where k is the spring constant: k=15.3N/cm=1530N/m and x is the distance stretched from the equilibrium position.

In the first case x=1.81cm=0.0181m

so the energy to stretch the spring 1.81cm is:

K_{1}=\frac{1}{2} (1530N/m)(0.0181m)^2=0.25J

and for the second case,  the energy to stretch the spring 5.79cm:

x=5.79cm=0.0579m

K_{1}=\frac{1}{2} (1530N/m)(0.0579m)^2=2.56J

so to answer a) we must find the difference between these energies:

2.56J-0.25J=2.31J

6 0
4 years ago
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