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4 years ago

A supersonic jet flying at 150 m/s is accelerated uniformly at the rate of 22m/s² for 20s.What is its final velocity

1 answer:

7 0

V=u+at where v is final velocity u is initial velocity a is acceleration and t is time taken

this v = 150+22 (20) =590 m/s

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A fast pitch softball player does a "windmill" pitch, moving her hand through a vertical circular arc to pitch a ball at 65 mph.

astraxan [27]

a) The centripetal acceleration is $1694 m/s^2$

b) The force on the ball is 321.9 N

c) The direction of the force is upward

Explanation:

The centripetal acceleration of an object in circular motion is given by

$a=\frac{v^2}{r}$

where

v is the speed of the object

r is the radius of the circle

In this problem, we have:

r = 50 cm = 0.50 m (the radius of the circle is equal to the distance between the shoulder and the ball)

$v=65 mph \cdot \frac{1609 m/mi}{3600 s/h}=29.1 m/s$ is the speed

Substituting,

$a=\frac{29.1^2}{0.50}=1694 m/s^2$

The force exerted by the hand on the ball is equal to the centripetal force, which is given by:

$F=ma$

where

m is the mass of the ball

a is the centripetal acceleration

In this problem, we have:

m = 0.19 kg

$a=1694 m/s^2$

Substituting, we find:

$F=(0.19)(1694)=321.9 N$

In a uniform circular motion, the direction of the centripetal acceleration is always towards the centre of the circle.

As a result, since the direction of the force is the same as the direction of the acceleration, the direction of the centripetal force is also towards the centre of the circle.

Therefore in this case, since the ball is at the lowest point in the circle, the direction of the force is upward (because it is towards the centre of the circular trajectory).

Learn more about centripetal force and acceleration:

brainly.com/question/2562955

#LearnwithBrainly

4 0

4 years ago

Materials in which electric charges move freely such as copper and aluminum are called

yuradex [85]

Answer:

Conductors allow electric charges to move freely

8 0

4 years ago

Gayle runs at a speed of 3.85 m/s and dives on a sled, initially at rest on the top of a frictionless snow-covered hill. After s

enot [183]

Answer:

Final velocity at the bottom of hill is 15.56 m/s.

Explanation:

The given problem can be divided into four parts:

1. Use conservation of momentum to determine the speed of the combined mass (Gayle and sled)

From the law of conservation of momentum (perfectly inelastic collision), the combined velocity is given as:

$p_i = p_f$

$m_1u_1 + m_2v_2 = (m_1 + m_2)v$

$v = \frac{(m_1u_1 + m_2v_2)}{(m_1 + m_2)}$

$v=\frac{[50.0\ kg)(3.85\ m/s) + 0]}{(50.0\ kg + 5.00\ kg)}= 3.5\ m/s$

2. Use conservation of energy to determine the speed after traveling a vertical height of 5 m.

The velocity of Gayle and sled at the instant her brother jumps on is found from the law of conservation of energy:

$E(i) = E(f)$

$KE(i) + PE(i) = KE(f) + PE(f)$

$0.5mv^2(i) + mgh(i) = 0.5mv^2(f) + mgh(f)$

$v(f) = \sqrt{[v^2(i) + 2g(h(i) - h(f))]}$

Here, initial velocity is the final velocity from the first stage. Therefore:

$v(f) = \sqrt{[(3.5)^2+2(9.8)(5.00-0)]}= 10.5\ m/s$

3. Use conservation of momentum to find the combined speed of Gayle and her brother.

Given:

Initial velocity of Gayle and sled is, $u_1(i)=10.5$ m/s

Initial velocity of her brother is, $u_2(i)=0$ m/s

Mass of Gayle and sled is, $m_1=55.0$ kg

Mass of her brother is, $m_2=30.0$ kg

Final combined velocity is given as:

$v(f) = \frac{[m_1u_1(i) + m_2u_2(i)]}{(m_1 + m_2)}$

$v(f)=\frac{[(55.0)(10.5) + 0]}{(55.0+30.0)}= 6.79$ m/s

4. Finally, use conservation of energy to determine the final speed at the bottom of the hill.

Using conservation of energy, the final velocity at the bottom of the hill is:

$E(i) = E(f)$

$KE(i) + PE(i) = KE(f) + PE(f)$

$0.5mv^2(i) + mgh(i) = 0.5mv^2(f) + mgh(f)$

$v(f) = \sqrt{[v^2(i) + 2g(h(i) - h(f))]} \\v(f)=\sqrt{[(6.79)^2 + 2(9.8)(15 - 5.00)]}\\v(f)= 15.56\ m/s$

6 0

3 years ago

This gradual change in beak size over time is known as _______.

yan [13]

The correct answer is evolution

4 0

4 years ago

Read 2 more answers

Can somebody please answer this correctly I will give brainliest

vodka [1.7K]

I think what’s wrong is that the paper clip isn’t connecting to the other thing on the bottom

8 0

3 years ago