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yarga [219]
2 years ago
14

At what height from the surface of earth will the value of 'g' reduced to 64% from the value at the surface? Radius of earth = 6

400 Km​
Physics
1 answer:
Sonbull [250]2 years ago
8 0

Answer: 1600 km from the surface

Explanation:

E = \frac{GM}{R^{2} }\\g1 = \frac{GM}{R1^{2} } \\R1 = 6400 km\\g2 = 0.64g1\\\frac{g1}{g2} = \frac{\frac{GM}{R1^{2} } }{\frac{GM}{R2^{2} } } \\\frac{g1}{0.64g1} = \frac{R2^{2}}{R1^{2} }\\\frac{1}{0.64} = \frac{R2^{2}}{6400^{2} }\\\\\frac{1}{0.8} = \frac{R2}{6400}\\\\R2 = \frac{6400}{0.8}\\R2 = 8000 km\\

Therefore, 8000 km - 6400 km = 1600 km from the surface

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A horizontal spring attached to a wall has a force constant of k = 860 N/m. A block of mass m = 1.60 kg is attached to the sprin
trasher [3.6K]

(a) 1.08 J

The elastic potential energy stored in the block at any position x is given by

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

where

k is the spring constant

x is the displacement relative to the equilibrium position

Here we have

k = 860 N/m

x = 5.00 cm = 0.05 m is the position of the block

Substituting, we find

U=\frac{1}{2}(860 N/m)(0.05 m)^2=1.08 J

(b) 1.16 m/s

The total mechanical energy of the spring-mass system is equal to the potential energy found at point (a), because there the system was at its maximum displacement, where the kinetic energy (because the speed is zero).

At the equilibrium position, the mechanical energy is sum of kinetic and potential energy

E = K + U

However, at equilibrium position x = 0, so U = 0. Therefore, the kinetic energy is equal to the total energy found at point (a)

E=K= \frac{1}{2}mv^2 = 1.08 J

where

m = 1.60 kg is the mass of the block

v is the speed

Solving for v, we find

v=\sqrt{\frac{2K}{m}}=\sqrt{\frac{2(1.08 J)}{1.60 kg}}=1.16 m/s

(c) 1.00 m/s

When the block is at position x = 2.50 cm, the mechanical energy is sum of kinetic and potential energy:

E=K+U=\frac{1}{2}mv^2 + \frac{1}{2}kx^2

where

E = 1.08 J is the total mechanical energy

m = 1.60 kg is the mass

v is the speed

k = 860 N/m

x = 2.50 cm = 0.025 m is the displacement

Solving for v, we find

v = \sqrt{\frac{2E - kx^2}{m}}=\sqrt{\frac{2(1.08 J)-(860 N/m)(0.025 m)^2}{1.60 kg}}=1.00 m/s

8 0
3 years ago
A football punter wants to kick the ball so that it is in the air for 4.2 s and lands 55 m from where it was kicked. Assume that
earnstyle [38]

Answer:

57.24^{\circ}

24.21 m/s

Explanation:

x = Displacement in x direction = 55 m

y = Displacement in x direction = 0

y_0 = Height of the ball when the ball is kicked = 1 m

t = Time taken = 4.2 s

a_y=g = Acceleration due to gravity = -9.81\ \text{m/s}^2

u = Initial velocity of ball

Displacement in x direction is given by

x=u_xt+\dfrac{1}{2}a_xt^2\\\Rightarrow 55=4.2u_x+0\\\Rightarrow u_x=\dfrac{55}{4.2}\\\Rightarrow u\cos\theta=13.1\ \text{m/s}\\\Rightarrow u=\dfrac{13.1}{\cos\theta}

Displacement in y direction is given by

y=y_0+u_yt+\dfrac{1}{2}a_yt^2\\\Rightarrow 0=1+4.2u\sin\theta+\dfrac{1}{2}\times (-9.81)\times 4.2^2\\\Rightarrow 0=4.2u\sin\theta-85.5242\\\Rightarrow u\sin\theta=20.36\ \text{m/s}\\\Rightarrow u=\dfrac{20.36}{\sin\theta}

\dfrac{13.1}{\cos\theta}=\dfrac{20.36}{\sin\theta}\\\Rightarrow \dfrac{20.36}{13.1}=\dfrac{\sin\theta}{\cos\theta}\\\Rightarrow \theta=\tan^{-1}\dfrac{20.36}{13.1}\\\Rightarrow \theta=57.24^{\circ}

The ball should be kicked at an angle of 57.24^{\circ}

u=\dfrac{13.1}{\cos\theta}=\dfrac{13.1}{\cos57.24^{\circ}}\\\Rightarrow u=24.21\ \text{m/s}

The initial speed of the ball is 24.21 m/s.

3 0
2 years ago
The car's motion can be divided into three different stages: its motion before the driver realizes he's late, its motion after t
jolli1 [7]

Answer:

B, C, D are valid assumptions

Explanation:

In each stage the acceleration of the car varies because the velocity of car varies in each stage. At first, the acceleration of the car is moving slowly.

Then, driver realizes that he is late so the acceleration of the car increases he hits the gas.

Finally, the acceleration decreases when he sees the police car.

In the first state when driver do not know, that he is late, he will drive with a constant velocity as any one does.

When the driver hits the gas and he does not know about the police vehicle, even then he may drive with constant velocity or he may accelerate the car due to fear of being caught.

In the last part of motion when driver see the police car, even than he may accelerate the car, but acceleration will be constant throughout the motion is not possible, or even than he may continue with constant velocity.

Hence, there are only three assumptions are valid.

B. During each of the three different stages of its motion, the car is moving with constant velocity.

C . The highway is straight.

D. The highway is level.

Note that the rate of change of speed is equal to the acceleration. The acceleration is constant if change in velocity of particle is equal in equal interval of time.

8 0
3 years ago
Where does the suns rays strike earth most direcly and least directly
julia-pushkina [17]
Most directly on equador and least directly at poluses
5 0
3 years ago
Velocities of two bodies A and B are given in vectors notation as va =i+2j-3k and Vb=3i+2j-k what will be the relative velocity
ArbitrLikvidat [17]

Answer:

V_{B/A}=2i+2k

Explanation:

The relative velocity can be calculated by means of the difference between vector B minus vector A.

V_{A}=i+2j-3k\\V_{B}=3i+2j-k\\V_{B}-V_{A}=(3-1)i + (2-2)j+(-1-(-3))k\\V_{B/A}=2i+2k

5 0
3 years ago
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