A horse pulls a plow with a 242 N force for

A cardinal (Richmondena cardinalis) of mass 4.00×10−2 kg and a baseball of mass 0.146 kg have the same kinetic energy. What is t

sp2606 [1]

Answer:

0.5232

Explanation:

the cardinal and the baseball has the same kinetic energy

$\frac{1}{2} m_{c} v_{c} ^{2} = \frac{1}{2} m_{b} v_{b} ^{2}$

$m_{c}v_{c}^{2} = m_{b}v_{b}^{2}$

$[4.0X 10^{-2} ]v_{c} ^{2} = [0.146]v_{b} ^{2}$

$\frac{v_{c} }{v_{b} } = \sqrt{\frac{0.146}{4.0 X 10^{-2} } }$

$\frac{v_{c} }{v_{b} } = 1.910$

Ratio of momentum

$\frac{p_{c}}{p_{b}} = \frac{m_{c}v_{c}}{m_{b}v_{b}} = \frac{ (4.0 X 10^{-2} )(1.910v_{b} )}{0.146v_{b} }$

$\frac{p_{c}}{p_{b}} = \frac{4.0 X 10 ^{-2} X 1.910 }{0.146} = 0.5232$

6 0

4 years ago

A supply plane needs to drop a package of food to scientists working on a glacier in greenland. the plane flies 100 m above the

pishuonlain [190]

The package should be dropped <u>678 m</u> short of the target.

A package dropped from a plane which is moving at a speed v, has a horizontal velocity equal to the horizontal velocity of the plane. It has a parabolic trajectory, traversing a horizontal range x while it falls through a vertical height y.

The package has no initial vertical velocity, and it falls through a height y under the action of the acceleration due to gravity g.

Use the equation,

$y=\frac{1}{2} gt^2$

Write an expression for t, the time taken for the package to fall through y.

$t^2=\frac{2y}{g}$

Substitute 100 m for y and 9.81m/s² for g.

$t^2=\frac{2y}{g}\\ =\frac{2(100m)}{9.81m/s^2} \\ =20.39s^2\\ t=4.52s$

In the time t the package travels a horizontal distance x. The horizontal velocity of the package remains constant, since no force acts along the horizontal direction.

Therefore, the horizontal distance traveled by the package is given by,

$x=vt\\ =(150m/s)(4.52s)\\ =678m$

If the package is released <u>678m</u> before the target, the package would reach the scientists working in Greenland.

6 0

4 years ago

2. Un ciclista que está en reposo comienza a pedalear hasta alcanzar los 16.6km/h en 6 minutos. Calcular la distancia total que

jek_recluse [69]

Answer:

$s = 5822.28\,m\,(5.822\,km)$

Explanation:

La distancia recorrida es la suma de las etapas de aceleración y velocidad constante (Travelled distance is the sum of the acceleration and constant speed stages). La aceleración es (The acceleration is):

$a = \frac{4.611\,\frac{m}{s}-0\,\frac{m}{s}}{360\,s}$

$a = 0.013\,\frac{m}{s^{2}}$

La distancia recorrida es (The travelled distance is):

$s = \frac{1}{2}\cdot \left(0.013\,\frac{m}{s^{2}} \right)\cdot (360\,s)^{2} + \left(4.611\,\frac{m}{s} \right)\cdot (1080\,s)$

$s = 5822.28\,m\,(5.822\,km)$

3 0

3 years ago

Which diagram models the position of a soccer ball when it has the greatest amount of gravitational potential energy?

posledela

Answer:

C

Explanation:

Diagram C is the correct answer, because the ball is at the point with the highest height relative to the ground, in this way all the kinetic energy has been transformed into potential energy.

We must remember that potential energy is defined as the product of mass by gravity by height

Ep = m*g*h

where:

m = mass [kg]

g = gravity acceleration [m/s²]

h = elevation [m]

So when we have a great value for h in the above equation, we will have a big value for potential energy.

8 0

3 years ago

If you sleep 33% in a day, how many hours is that?

lesantik [10]

In this question, one has to carefully understand that the total number of hours in the day can never be more that 24 hours. based on this important fact the answer to the question can be very easily deduced. The only requirement is calculating perfectly.
Number of hours in a day = 24 hours
Percentage of hours of sleep in a day = 33%
Amount of sleep in the day = (33/100) * 24
= 7.92 hours
So 33% of sleep in a day is equal to 7.92 hours. I hope this answer has helped you. In future you can keep the procedure in mind for solving such problems.

5 0

4 years ago