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3 years ago

The total amount of energy contained in an object

1 answer:

7 0

The total amount of energy stored in the particles of an object is called its internal energy. The internal energy of an object is made up of the kinetic energy due to the random motion of the particles and the potential energy due to the interactive forces among the particles.

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Serving at a speed of 170 km/h, a tennis player hits the ball at a height of 2.5 m and an angle θ below the horizontal. the base

Sholpan [36]

serving speed = 170 km/h

now we will convert it into m/s

$v = 47.22 m/s$

now it will have two components along x and y directions

$v_x^2 + v_y^2 = 47.22^2$

also in x and y directions we know

$2.5 - 0.91 = v_y*t + \frac{1}{2}gt^2$

$11.9 = v_x *t$

$1.59 = v_y*t + 4.9*t^2$

$1.59 = 11.9 tan\theta + 4.9*(\frac{11.9}{47.22})^2(1 + tan^2\theta)$

$1.59 = 11.9 tan\theta + 0.311 (1 + tan^2\theta)$

by solving above equation we have

$tan\theta = 0.107$

$\theta = 6.11 degree$

so angle is 6.11 degree below the horizontal

now we have

$v_y = 47.22 sin6.11 = 5.02 m/s$

$v_x = 47.22 cos6.11 = 46.95 m/s$

now time taken by ball to reach the ground will be

$2.5 = 5.02 * t + \frac{1}{2}gt^2$

$t = 0.37 s$

now the displacement in x direction will be

$x = v_x * t$

$x = 46.95 * 0.37 = 17.37 m$

now the distance from net will be

$d = 17.37 - 11.9 = 5.47 m$

So it will land inside the line

3 0

3 years ago

The momentum of an object is determined by the object’s mass and velocity. Which object has more momentum?

Gnesinka [82]

Answer:

You need to give the options but the formula is p=mv

Explanation:

7 0

3 years ago

There is a decrease in power. It can be concluded that there has also been a change in: A)current or voltage.

liraira [26]

A current or voltage

5 0

3 years ago

Two sound waves, from two different sources with the same frequency of 420 Hz travel in the same direction at 336 m/s. The sourc

Tresset [83]

Answer:

Pi(3.14) radians or 180º degrees

Explanation:

First of all, we need to obtain the wavelength of a wave traveling to the speed of sound and 420 Hz of frequency.

The formula is:

$l=wavevelocity/frequency$

where l = wavelength in meters

With current values:

l = 336 [m/s]/420[1/s] = 0.8 meters

Since a complete cycle (360º or 2pi radians) needs 0.8 meters to complete, 0.4 meters or 40 cm is just half of it, making a 180º degree phase or 3.14 radians.

8 0

3 years ago

Particle A of charge 3.06 10-4 C is at the origin, particle B of charge -5.70 10-4 C is at (4.00 m, 0), and particle C of charge

Alex

Answer:

F_net = 26.512 N

Explanation:

Given:

Q_a = 3.06 * 10^(-4 ) C

Q_b = -5.7 * 10^(-4 ) C

Q_c = 1.08 * 10^(-4 ) C

R_ac = 3 m

R_bc = sqrt (3^2 + 4^2) = 5m

k = 8.99 * 10^9

Coulomb's Law:

F_i = k * Q_i * Q_j / R_ij^2

Compute F_ac and F_bc :

F_ac = k * Q_a * Q_c / R^2_ac

F_ac = 8.99 * 10^9* ( 3.06 * 10^(-4 ))* (1.08 * 10^(-4 )) / 3^2

F_ac = 33.01128 N

F_bc = k * Q_b * Q_c / R^2_bc

F_bc = 8.99 * 10^9* ( 5.7 * 10^(-4 ))* (1.08 * 10^(-4 )) / 5^2

F_bc = - 22.137 N

Angle a is subtended between F_bc and y axis @ C

cos(a) = 3 / 5

sin (a) = 4 / 5

Compute F_net:

F_net = sqrt (F_x ^2 + F_y ^2)

F_x = sum of forces in x direction:

F_x = F_bc*sin(a) = 22.137*(4/5) = 17.71 N

F_y = sum of forces in y direction:

F_y = - F_bc*cos(a) + F_ac = - 22.137*(3/5) + 33.01128 = 19.72908 N

F_net = sqrt (17.71 ^2 + 19.72908 ^2) = 26.5119 N

Answer: F_net = 26.512 N

5 0

4 years ago