PHYSICS HIGH SCHOOL

A 0.145-kg baseball pitched at 37.5 m/s is hit on a horizontal line drive straight back toward the pitcher at 57.0 m/s . If the contact time between bat and ball is 2.50×10−3 s , calculate the average force between the ball and bat during contact.

Answers

Answer 1

Answer:

Answer:

The average force between the ball and bat during contact is 1131N.

Explanation:

The average force can be found employing Newton's second law:

$F = ma$ (1)

Where F is the force, m is the mass and a is the acceleration.

The acceleration can be determined employing the equations for a Uniformly Accelerated Rectilinear Motion:

$v_(f) = v_(i) + at$ (2)

Where $v_(f)$ is the final velocity, $v_(i)$ is the initial velocity and t is the time.

Then, a will be isolated from equation 2:

$a = (v_(f)-v_(i))/(t)$ (3)

Replacing equation (3) in equation (1) it is gotten:

$F = m(v_(f)-v_(i))/(t)$

$F = (0.145Kg)((57.0m/s-37.5m/s))/((2.50x10^(−3)s))$

$F = (0.145Kg)((19.5m/s))/((2.50x10^(−3)s))$

$F = 1131Kg.m/s{2}$

But $1N = 1Kg.m/s^(2)$ , therefore:

$F = 1131N$

So, the average force between the ball and bat during contact is 1131N.

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In a ballistic pendulum experiment, projectile 1 results in a maximum height h of the pendulum equal to 2.6 cm. A second projectile (of the same mass) causes the the pendulum to swing twice as high, h2 = 5.2 cm.The second projectile was how many times faster than the first?

Answers

Answer:

Second projectile is 1.4 times faster than first projectile.

Explanation:

By linear momentum conservation

Pi = Pf

m x U + M x 0 = (m + M) x V

$U= ((m + M)* V)/(m)$

Now Since this projectile + pendulum system rises to height 'h', So using energy conservation:

KEi + PEi = KEf + PEf

PEi = 0, at reference point

KEf = 0, Speed of system zero at height 'h'

$KEi = ((m + M)* V^2)/(2)$

PEf = (m + M) g h

So,

$((m + M)* V^2)/(2) + 0 = 0+ (m + M) g h$

$V =\sqrt {2gh}$

So from above value of V

Initial velocity of projectile =U

$U=((M+m)√(2gh))/(m)$

Now Since mass of projectile and pendulum are constant, So Initial velocity of projectile is proportional to the square root of height swung by pendulum.

Which means

$(U_2)/(U_1)=\sqrt{(h_2)/(h_1)}$

$U_2=\sqrt{(h_2)/(h_1)}* U_1$

$U_2=\sqrt{(5.2)/(2.6)}* U_1$

U₂ = 1.41 U₁

Therefore we can say that ,Second projectile is 1.4 times faster than first projectile.

Final answer:

In a ballistic pendulum experiment, if the pendulum swings twice as high with the second projectile as with the first, the speed of the second projectile must have been twice the speed of the first projectile.

Explanation:

In a ballistic pendulum experiment, the relation between speed of the particle and maximum height achieved by the pendulum relies on the law of conservation of energy. The kinetic energy of projectile (which is proportional to the square of the speed) gets converted into potential energy of the pendulum and hence the square of the speed of the particle is directly proportional to the maximum height achieved by the pendulum.

Given that the second projectile causes the pendulum to swing twice as high, the initial kinetic energy of the second projectile (and hence the square of its speed) must be four times that of the first. Thus, the speed of the second projectile must have been twice the speed of the first projectile, because the square root of 4 is 2.

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Plates move apart at ____ boundaries.a. convergent
c. divergent
b. stable
d. transform

Answers

The correct answer is C. divergent. Divergent boundaries are something like lines found between two tectonic plates. These constructive boundaries, or extensional boundaries, are formed and exist between two tectonic plates that move away from each other. Convergent would thus be where they meet. This is all according to the tectonic theory.

Plates move apart at divergent boundaries, which occur when two tectonic plates are moving away from each other.

Plates move apart at divergent boundaries. Divergent boundaries occur when two tectonic plates are moving away from each other. This movement creates a gap or rift between the plates where molten rock rises to fill the space, forming new crust. The best example of a divergent boundary is the Mid-Atlantic Ridge.

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B.
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C.
The yoga term for exercises or poses.
D.
The yoga term for spiritual enlightenment.