A wave with a frequency of 32 Hz has a wavelength of 9 meters. At what speed will this

A dwarf planet has a mass of 0.0045 times that of the Earth and a diameter on average 0.19 times that of the Earth. What is the

tatuchka [14]

The escape velocity of the dwarf planet is 1,721.8 m/s.

The given parameters:

Mass of the dwarf planet, m = 0.0045 M
Mass of the Earth = 5.98 x 10²⁴ kg
Diameter of the planet, d = 0.19 D
Diameter of the Earth, D = 12,742 km

The mass of the of the dwarf planet is calculated as follows;

$m = 0.0045 \times 5.98 \times 10^{24} \ kg\\\\m = 2.69\times 10^{22} \ kg$

The radius of the dwarf planet is calculated as follows;

$r = \frac{0.19 D}{2} \\\\r = \frac{0.19 \times 12, 742, 000}{2} \\\\r = 1,210,490 \ m$

The escape velocity of the dwarf planet is calculated as follows;

$v _e = \sqrt{\frac{2GM}{r} } \\\\v_e = \sqrt{\frac{2\times 6.67 \times 10^{-11} \times 2.69 \times 10^{22}}{1,210,490}}\\\\v_e = 1,721.8 \ m/s$

Learn more about escape velocity here: brainly.com/question/13726115

8 0

2 years ago

A tennis player tosses a tennis ball straight up and then catches it after 1.77 s at the same height as the point of release. (a

Bogdan [553]

(a) 9.8 m/s^2, downward

There is only one force acting on the ball while it is in flight: the force of gravity, which is

F = mg

where

m is the mass of the ball

g is the gravitational acceleration

According to Newton's second law, the force acting on the ball is equal to the product between the mass of the ball and its acceleration, so

F = mg = ma

which means

a = g

So, the acceleration of the ball during the whole flight is equal to the acceleration of gravity:

g = -9.8 m/s^2

where the negative sign means the direction is downward.

(b) v = 0

Any object thrown upward reaches its maximum height when its velocity is zero:

v = 0

In fact, at that moment, the object's velocity is turning from upward to downward: that means that at that instant, the velocity must be zero.

(c) 8.72 m/s, upward

The initial velocity of the ball can be found by using the equation:

v = u + at

Where

v = 0 is the velocity at the maximum height

u is the initial velocity

a = g = -9.8 m/s^2 is the acceleration

t is the time at which the ball reaches the maximum height: this is half of the time it takes for the ball to reach again the starting point of the motion, so

$t=\frac{1.77 s}{2}=0.89 s$

So we can now solve the equation for u, and we find:

$u=v-at=0-(-9.8 m/s^2)(0.89 s)=8.72 m/s$

(d) 3.88 m

The maximum height reached by the ball can be found by using the equation:

$v^2 - u^2 = 2ad$

where

v = 0 is the velocity at the maximum height

u = 8.72 m/s is the initial velocity

a = g = -9.8 m/s^2 is the gravitational acceleration

d is the maximum height reached

Solving the equation for d, we find

$d=\frac{v^2-u^2}{2a}=\frac{0^2-(8.72 m/s)^2}{2(-9.8 m/s^2)}=3.88 m$

7 0

3 years ago

Cecily is inflating one of her bicycle tyres with the pump below. When she pushes the plunger down, does the volume of the gas i

Alexxandr [17]

Answer:

See the explanation below

Explanation:

This problem can be better understood graphically, so in the attached image we will use a diagram of a positive displacement air pump.

We can see that when she pushes the plunger, we see that the volume decreases.

8 0

3 years ago

A 0.18 m radius pulley is free to rotate about a horizontal axis. A mass and a mass are attached by a massless string, which is

Musya8 [376]

Answer:

T = 1.766(M-m) Nm where M and m are the 2 masses of the objects

Explanation:

Let m and M be the masses of the 2 objects and M > m so the system would produce torque and rotational motion on the pulley. Force of gravity that exert on each of the mass are mg and Mg. Since Mg > mg, the net force on the system is Mg - mg or g(M - m) toward the heavier mass.

Ignore friction and string mass, and let g = 9.81 m/s2, the net torque on the pulley is the product of net force and arm distance to the pivot point, which is pulley radius r = 0.18 m

T = Fr = g(M - m)0.18 = 0.18*9.81(M - m) = 1.766(M-m) Nm

8 0

3 years ago

Developed countries typically have _______.

Anna35 [415]

Answer:

Good government

Explanation:

Many people will think its natural resources but its not. Africa is a proof. They have resources but leadership is what makes most of their countries 3rd world. #BADGOVERNANCE

8 0

3 years ago