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Lerok [7]
4 years ago
14

What force does a trampoline have to apply to a 45.0-kg gymnast to accelerate her straight up at 7.50 m/s^2? (a) 104N (b) 338 N

(c) 441 N (d) 779 N
Physics
1 answer:
Brilliant_brown [7]4 years ago
6 0

Answer:

b) 338 N

Explanation: let m be the mass of the gymnast and a be the acceleration of the gymnast.

the force required to accelerate the gymnast is given by:

F = m×a

  = (45.0)×(7.50)

  = 337.5 N

Therefore, the force a trampoline has to apply is 138 N.

You might be interested in
a ballon filled with nitrogen gas has a small leak. Another ballon filled with hydrogen gas has an identical leak. How much fast
VashaNatasha [74]

Answer:

4 times that of nitrogen gas, N2.

Explanation:

Let R1 be the rate of diffusion of nitrogen gas, N2.

Let R2 be the rate of diffusion of Hydrogen gas, H2.

Let M1 be the molar mass N2

Let M2 be the molar mass of H2.

Next, we shall determine the molar mass of N2 and H2.

This is illustrated below below:

Molar mass of N2 (M1) = 2 x 14 = 28 g/mol

Molar mass of H2 (M2) = 2 x 1 = 2 g/mol

Finally, we shall determine the rate of diffusion of Hydrogen gas, H2 as follow:

R1/R2 = √(M2/M1)

M1 = 28

M2 = 2

R1/R2 = √(M2/M1)

R1/R2 = √(2/28)

R1/R2 = √(1/14)

R1/R2 = 0.27

Cross multiply

R1 = R2 × 0.27

Divide both side by 0.27

R2 = R1/0.27

R2 = R1 × 1/0.27

R2 = R1 × 4

R2 = 4R1

Therefore, the rate of diffusion of H2 (R2) is 4 times that of N2 (R1)

6 0
3 years ago
How long have humans been migrating?
weqwewe [10]

Answer:

about 200k years

Explanation:

because we were migrating as cavemans.

8 0
3 years ago
A ball is thrown vertically upward.
Eddi Din [679]

1. Answer;

Velocity decreases as it rises

Explanation;

When you project an object upward and release it at its initial velocity, it is moving in the opposite direction of the force of gravity. Thus the initial velocity is negative. The velocity of the object is also negative on the way up but positive on the way down.

2. Answer;

Velocity is 0 m/s at its highest point

Explanation;

The maximum height of the projectile is when the projectile reaches zero vertical velocity. From this point the vertical component of the velocity vector will point downwards.

The object slows down as it moves upward until it reaches a maximum height, at which time the velocity is zero. Then the velocity increases as the object falls toward the ground.

3. Answer;

-Acceleration is constant -9.8m/s^2

Explanation;

-An object that is thrown vertically upwards decelerates under the earth's gravity. Its speed decreases until it attains a maximum height, where the velocity is zero. Then it is accelerated uniformly downwards under gravity.

4. Answer;

-Acceleration is constant -9.8m/s^2

Explanation;

When a ball is thrown upwards the acceleration due to gravity remains constant throughout. It comes to rest for a moment at the highest point of motion just before returning back to earth.

-The acceleration due to gravity is constant on the object though out its flight. So the acceleration of the projectile is equal to the acceleration due to gravity, 9.81 meters/second/second, from just after its thrown, through its highest point, and until just before it hits the ground.

3 0
3 years ago
1. A processor running at 2.5 GHz consumes 60 W of dynamic power and 15 W of leakage power. It briefly enters Turbo-boost mode a
melamori03 [73]

Answer:

  1. P'_{dynamic} = 72.0\ W
  2. P'_{leakage} = 15\ W

Solution:

As per the question:

Initial frequency of the processor, f = 2.5 GHz = 2.5\times 10^{9}\ Hz

Final frequency attained by the processor, f' = 3.0\times 10^{9}\ Hz

Initial dynamic power, P_{dynamic} = 60\ W

Leakage Power, P_{leakage} = 15\ W

Now,

To calculate the Dynamic power, P'_{dynamicand leakage power consumed by the processor:

We know that the dynamic power is in direct proportion to the frequency of the processor:

P_{dynamic} ∝ frequency, f

Thus we can write:

\frac{P'_{dynamic}}{P_{dynamic}} = \frac{f'}{f}

P'_{dynamic} = \frac{f'}{f}\times P_{dynamic

Substituting the appropriate values in the above expression:

P'_{dynamic} = \frac{3.0\times 10^{9}}{2.5\times 10^{9}}\times 60 = 72.0\ W

Now,

We know that the leakage power does not depend on the frequency of the processor and hence remains same.

Thus

P'_{leakage} = P_{leakage} =15\ W

4 0
3 years ago
The Hubble Space Telescope orbits Earth and sends images of distant objects. Why does Hubble form better images than the optical
postnew [5]

Answer: option c: It orbits beyond the Earth's atmosphere to avoid scattering of light.

Explanation:

Hubble space telescope orbits Earth and sends images of distant objects. The images formed by Hubble are better than the optical telescopes used on land. This is because the Hubble telescope is a space telescope. Light from the distant objects when reaches the land telescopes transmits through atmosphere, where scattering occurs. Some the light rays bounce back. This is avoided by the space telescope Hubble.

7 0
4 years ago
Read 2 more answers
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