please help solve these
questions
(1a). The gravitational field strength
g on the earth’s surface is
9.8N/kg. explain what this
means.(b) Using the law of gravity,
show that gr2= k. Where g=gravitational field strength at a
distance r from the center of the
earth (r>Re), where Re is the radius of the earth.
(2). Determine the velocity which a body released at a
distance r from the center of the
earth when it strikes the earth surface.
(3). A 500kg spaceship is in a circular orbit of radius 2Re about
the earth. (a)How much energy is required to transfer the spaceship to a
circular orbit of radius 4Re. (b)Discuss the change in potential
energy, kinetic energy and the
total energy of the system.
(4). State the universal law of gravitation. (b)Derive the
relationship between the gravitational constant G and
acceleration of free fall g at a point close to the earth surface
(assume that the earth is a sphere of uniform density).
(5). Show that theoretically the
period of rotation of a satalite T,
which circles a planet at negligible distance from its surface depends only on the
density of the planet.
(6). A satellite in a circular orbit around a planet. Show that the
orbital velocity 'v' and the escape velocity ‘Vesc’ of the satellite are related by the expression, Vesc=square root of 2v
(7). A constant force of 40N is applied tangentially to the rim of a wheel with 20cm radius. The wheel has a moment of inertia
30kg.m2. Find (a) the angular acceleration. (b) the angular speed after 4seconds from rest. (c) the number of revolutions made in that 4seconds. (d)Show that the work done on the
wheel in this 4seconds=the kinetic energy of the wheel after 4seconds.
(8). The turn table of a record player rotates initially at a rate of 33rev/min and takes
20seconds to come to rest. (a)What is the angular acceleration
of the turn table assuming the
acceleration is uniform (b)How many rotations does the
turn table make before coming to
rest (c)If the radius of the turn table is 14cm, what is the initial linear speed of a point of a rim on the turn table. (d)What are the magnitude of the
radial and tangeticial components of the linear accelerations of a point of the rim at time t=0
(9a). State the factors on which moment of initial depends. (b)Compare the part played by moment of inertia in a rotational
motion with the part played by mass in translational motion.
(10a). Explain why a particle moving with a constant speed along a circular part has a radial
acceleration. (b) show that the acceleration of a body moving in a circular path of radius r with uniform speed v is v2/r and draw a diagram to show the direction of the acceleration.
You are asking me to write a chapter in your text book. Any physics text can help you better than I can.
for the first question:
F = G Me m/r^2
= (GMe/r^2) m
for changes in r that are small compared to earth radius, like from here to the top of Mt Everest this quantity is essentially constant
and
F/m = gravitational acceleration = GMe/r^2 which we call g, 9.81 m/s^2
obviously g r^2 = G Me a constant
centripetal acceleration results from the change of direction of the velocity toward the center as the object follows the curve, draw it.
SLT student nd1 Auchi poly that your lecturer na text book he give una as assignment well have done all the question for my sis contact me on +2348095734287 can't type all the answers here thanks for understanding.
please help solve these
questions
(1a). The gravitational field strength
g on the earth’s surface is
9.8N/kg. explain what this
means.(b) Using the law of gravity,
show that gr2= k. Where g=gravitational field strength at a
distance r from the center of the
earth (r>Re), where Re is the radius of the earth.
(2). Determine the velocity which a body released at a
distance r from the center of the
earth when it strikes the earth surface.
(3). A 500kg spaceship is in a circular orbit of radius 2Re about
the earth. (a)How much energy is required to transfer the spaceship to a
circular orbit of radius 4Re. (b)Discuss the change in potential
energy, kinetic energy and the
total energy of the system.
(4). State the universal law of gravitation. (b)Derive the
relationship between the gravitational constant G and
acceleration of free fall g at a point close to the earth surface
(assume that the earth is a sphere of uniform density).
(5). Show that theoretically the
period of rotation of a satalite T,
which circles a planet at negligible distance from its surface depends only on the
density of the planet