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Tema [17]
2 years ago
6

a professional baseball player can pitch a baseball with a velocity of 44.7m/s towards home plate. If a baseball weighs 1.4 N, h

ow much momentum does it have when it hits the catcher units
Physics
2 answers:
topjm [15]2 years ago
8 0

Answer:

p = 6.25 kg-m/s

Explanation:

It is given that,

Velocity of the baseball, v = 44.7 m/s

Weight of the baseball, W = 1.4 N

Firstly we need to find the mass of the baseball. It can be calculated as :

m=\dfrac{W}{g}

m=\dfrac{1.4\ N}{9.8\ m/s^2}

m = 0.14 kg

The momentum of an object is equal to the product of mass and velocity. It is given by :

p=m\times v

p=0.14\ kg\times 44.7\ m/s

p = 6.25 kg-m/s

So, the momentum it have when it hits the catcher is 6.25 kg-m/s. Hence, this is the required solution.

kumpel [21]2 years ago
3 0
1.4 N is a weight so calculating it's mass
1.4/9.8 = 0.1428 kg
momentum will be 0.1428*44.7 = 6.38 kgm/s
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It would be "W<span>armer temperatures on earth's surface decrease the evaporation of water."</span>
6 0
2 years ago
An electron in a vacuum chamber is fired with a speed of 9800 km/s toward a large, uniformly charged plate 75 cm away. The elect
melisa1 [442]

Answer:

The plate's surface charge density is -8.056\times10^{-9}\ C/m^2

Explanation:

Given that,

Speed = 9800 km/s

Distance d= 75 cm

Distance d' =15 cm

Suppose we determine the plate's surface charge density?

We need to calculate the surface charge density

Using work energy theorem

W=\Delta K.E

W=\dfrac{1}{2}mv_{f}^2-\dfrac{1}{2}mv_{i}^2

Here, final velocity is zero

W=0-\dfrac{1}{2}mv_{i}^2...(I)

We know that,

W=-Fd

W=-E\times e\times d

W=-\dfrac{\lambda}{2\epsilon_{0}}\times e\times d...(II)

From equation (I) and (II)

-\dfrac{1}{2}mv_{i}^2=-\dfrac{\lambda}{2\epsilon_{0}}\times e\times d

Charge is negative for electron

\lambda=\dfrac{mv^2\epsilon_{0}}{(-e)d}

Put the value into the formula

\lambda=-\dfrac{9.1\times10^{-31}\times(9800\times10^{3})^2\times8.85\times10^{-12}}{1.6\times10^{-19}\times(75-15)\times10^{-2}}

\lambda=-8.056\times10^{-9}\ C/m^2

Hence, The plate's surface charge density is -8.056\times10^{-9}\ C/m^2

3 0
2 years ago
Recent findings in astrophysics suggest that the observable universe can be modeled as a sphere of radius R = 13.7 × 109 light-y
-BARSIC- [3]

Answer:

3.7\times 10^{51}) kg

Explanation:

R = radius of the sphere modeled as universe = 13\times 10^{25} m

Volume of sphere is given as

V = \frac{4\pi R^{3}}{3}

V = \frac{4(3.14) (13\times 10^{25})^{3}}{3}

V = 9.2\times 10^{78} m³

\rho = average total mass density of universe = 1\times 10^{-26} kg/m³

m = Total mass of the universe = ?

We know that mass is the product of volume and density, hence

m = \rho V

m = (1\times 10^{-26}) (9.2\times 10^{78})

m = 9.2\times 10^{52} kg

M = mass of "ordinary" matter  = ?

mass of "ordinary" matter is only about 4% of total mass, hence

M = (0.04) m

M = (0.04)(9.2\times 10^{52})

M = 3.7\times 10^{51} kg

6 0
2 years ago
Suppose a particle is accelerated through space by a constant 10-N force. Suddenly the particle encounters a second force of 10-
Harlamova29_29 [7]

Answer:

The particle will continue moving at constant velocity

Explanation:

When the particle encounters the second force of 10 N, the net force acting on the particle becomes zero, because the two forces are equal in magnitude but opposite in direction:

F_{net}=10 N-10 N=0

For Newton's second Law, the acceleration of the particle is proportional to the net force acting on it:

F_{net}=ma

Therefore, since F_{net}=0, the acceleration is zero (a=0) and so the particle will keep a constant velocity.

3 0
2 years ago
A uniformly charged spherical droplet of mercury has electric potential Vbig throughout the droplet. The droplet then breaks int
mezya [45]

Answer:

\frac{V_{big}}{V_{small}} = n^{2/3}

Explanation:

Let the total charge on the big drop is given as Q

now if the radius of the drop is R then electric potential of the big drop is given as

V_{big} = \frac{KQ}{R}

Now if it break into n identical drops

then let the charge on each drop is "q" and radius is "r"

by volume conservation

\frac{4}{3}\pi R^3 = n(\frac{4}{3}\pi r^3)

r = \frac{R}{n^{1/3}}

now we have potential of smaller drop given as

V_{small} = \frac{kq}{r}

V_{small} = \frac{K(Q/n)}{\frac{R}{n^{1/3}}}

V_{small} = \frac{1}{n^{2/3}}\frac{KQ}{R}

\frac{V_{big}}{V_{small}} = n^{2/3}

7 0
2 years ago
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