Question

a.) Calculate the mass of a planet if the gravity (g) of the planet is 5.35...

a.) Calculate the mass of a planet if the gravity (g) of the planet is 5.35 m/sec/sec

b.) Calculate the escape velocit of a satellite launched from the surface of Mars, Mass of the planet = 6.41693x1023 kg and the radius of the planet = 3.39x106 m.

c.) A rotating whell requires 3 sec. to rotate 37 revolutions, it's angular velocity at the end of 3 sec is 98 rad/sec calulate constant angulat acceleration of the wheel in rads/sec/sec

d.) A 75 kg person is rotating in the wheel of radius 15 m. Calculate his speed at the highest point, at the lowest point and the normal force he feels at the lowest point

Homework Answers

Answer #1

a) we know, g = G*M/R^2

to find M, we need to know R

b) escape speed on a planet,

ve = sqrt(2*G*M/R)

= sqrt(2*6.67*10^-11*6.41693*10^23/(3.39*10^6))

= 5025 m/s

c) let wo is the initial angular velocity and alfa is the angular acceleration of the wheel.

use, theta = wo*t + 0.5*alfa*t^2

37*2*pi = wo*3 + 0.5*alfa*3^2 -----(1)

alfa = (wf - wi)/t

alfa = (98 - wo)/3 -----(2)

on solving the above two equation we get

alfa = 13.7 rad/s^2

d) at heighest point, V_min = sqrt(g*R)

= sqrt(9.8*15)

= 12.1 m/s

at lowest point, v = sqrt(5*g*R)

= sqrt(5*9.8*15)

= 27.1 m/s

at lowest point, Fnet = N - m*g

m*a_rad = N - m*g

N = m*g + m*a_rad

= m*g + m*v^2/R

= 75*9.8 + 75*27.1^2/15

= 4407 N

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
A flywheel within large water pump is a solid disk with mass 23.5 kg and a...
A flywheel within large water pump is a solid disk with mass 23.5 kg and a radius of 0.36 m. Starting from rest it begins to rotate with a constant acceleration of 2.5 rad/sec2 for 5.9 sec after which it rotates at a constant rate. 1) What is the moment of interia of the flywheel? kg-m2 Submit 2) After 5.9 seconds, what is it's angular speed? rad/sec Submit 3) Though what angle has it rotated in those 5.9 seconds? rad...
1. A disk-shaped wheel, whose mass is 1.75kg and radius 0.6m, is rotating at an initial...
1. A disk-shaped wheel, whose mass is 1.75kg and radius 0.6m, is rotating at an initial angular speed of 30 rad / sec. It is brought to rest with constant angular acceleration. If the wheel spins 200 rad before stopping: a) Determine the angular acceleration of the wheel. b) The time it takes you to stop. c) The initial linear speed of a point on the edge of the wheel. d) The initial tangential acceleration of a point on the...
In the future, a circular space station far from any planet, moon, or star is rotating...
In the future, a circular space station far from any planet, moon, or star is rotating with constant speed in order to simulate gravity. The space station is shaped like a wheel with a radius of 500.0 m and is rotating around its middle point. (B) What is the magnitude of the angular velocity of the station if it is rotating at the speed you found in part A?
Please show work, I'm having trouble answering these :( 1)A bicycle with 0.3 m radius wheels,...
Please show work, I'm having trouble answering these :( 1)A bicycle with 0.3 m radius wheels, is moving such that the angular speed of each wheel is 75 rad/s. If the bicyclist then applies the brakes and the wheels slow with an angular acceleration of -15 rad/s2, how many revolutions will each wheel make before the bike stops? A. 188 revolutions B. 1.07e4 revolutions 1C.14.7 revolutions D. 62.7 revolutions E.29.8 revolutions 2)You tie the loose end of a 0.1 kg...
A flywheel slows from 655 to 400 rev/min while rotating through 20 revolutions. What is the...
A flywheel slows from 655 to 400 rev/min while rotating through 20 revolutions. What is the (constant) angular acceleration of the flywheel? α=α=  rad/s2 How much time elapses during the 20 revolutions? t=t=  s Calculate the rotational kinetic energy of a 13-kg motorcycle wheel if its angular velocity is 141 rad/s and its inner radius is 0.280 m and outer radius 0.330 m. KErot =  J
1.Zero, a hypothetical planet, has a mass of 4.9 x 1023 kg, a radius of 3.3...
1.Zero, a hypothetical planet, has a mass of 4.9 x 1023 kg, a radius of 3.3 x 106 m, and no atmosphere. A 10 kg space probe is to be launched vertically from its surface. (a) If the probe is launched with an initial kinetic energy of 5.0 x 107 J, what will be its kinetic energy when it is 4.0 x 106 m from the center of Zero? (b) If the probe is to achieve a maximum distance of...
A heavy turntable, used for rotating large objects, is a solid cylindrical wheel that can rotate...
A heavy turntable, used for rotating large objects, is a solid cylindrical wheel that can rotate about its central axle with negligible friction. The radius of the wheel is 0.330 m. A constant tangential force of 300 N applied to its edge causes the wheel to have an angular acceleration of 0.876 rad/s2. (a) What is the moment of inertia of the wheel (in kg · m2)? _____ kg · m2 (b) What is the mass (in kg) of the...
A planet is in a circular orbit around the sun. Use Newton's law of gravity and...
A planet is in a circular orbit around the sun. Use Newton's law of gravity and his second law of motion to calculate the period of the planet (in day). Data: Mass of sun = 1.989 e+30 kg; Mass of planet = 6.0 e+24 kg; Orbit radius = 1.496 e+11 m.
A point mass of 0.36 kg is set to rotate about a fixed axis 0.69 m...
A point mass of 0.36 kg is set to rotate about a fixed axis 0.69 m away. The mass is initially at rest and undergoes a constant angular acceleration of 9.3 rad/s^22. What is the magnitude of the total acceleration after 0.34 revolutions? Show work
A flywheel within large water pump is a solid disk with mass 21 kg and a...
A flywheel within large water pump is a solid disk with mass 21 kg and a radius of 0.45 m. Starting from rest it begins to rotate with a constant acceleration of 2.4 rad/sec2 for 5.1 sec after which it rotates at a constant rate. 1) What is the moment of interia of the flywheel? 2) After 5.1 seconds, what is it's angular speed? 3) Though what angle has it rotated in those 5.1 seconds? 4) How many revolutions has...