Question

#1) a) Find the force of gravity between two uniform spheres as
they touch each other. Each sphere has a mass of
* m* = 48 kg and a radius of

b) What is the force of gravity between them when they stand
(surface to surface) 6 m from each other? **(Enter the
magnitude in newtons.)**

#2) Two objects of masses *m*_{1} = 740
kg and *m*_{2} = 280 kg are placed
*d*_{12} = 0.55 m from each other. A third
object of mass *m*_{3} = 76.0 kg is placed
between them.

a) Find the net gravitational force (in N) on
*m*_{3} by *m*_{1} and
*m*_{2} when it is midway between them.
**(Enter the magnitude.)**

b) Is there any position in which *m*_{3}
experiences zero net force from *m*_{1} and
*m*_{2}? (Give your answer as distance in metres
between *m*_{1} and *m*_{3}.
**If no such position exists, simply say NONE.**

Answer #1

A person pushes on a 74 kg refrigerator by a horizontal force of
215 N. (Assume the push is in the +x-direction.)
#1) If the coefficient of static friction is 0.65, what are the
magnitude (in N) and the direction (in degrees counterclockwise
from the +x-axis) of the force of the static friction?
Does the person move the refrigerator?
#2) What is the magnitude (in N) of the largest push that the
person can apply to the refrigerator just before...

A 275-kg object and a 575-kg object are separated by 4.40 m.
(a) Find the magnitude of the net gravitational force exerted by
these objects on a 46.0-kg object placed midway between them.
N
(b) At what position (other than an infinitely remote one) can the
46.0-kg object be placed so as to experience a net force of zero
from the other two objects?
m from the 575 kg mass toward the 275 kg mass

A 190-kg
object and a 490-kg
object are separated by 4.40
m.
(a) Find the magnitude of the net gravitational force exerted by
these objects on a 63.0-kg object placed midway between them.
(N)
(b) At what position (other than an infinitely remote one) can the
63.0-kg object be placed so as to experience a net force of zero
from the other two objects?
(m from the 490 kg mass toward the 190 kg mass)

A 105-kg object and a 405-kg object are separated by 4.50 m.
(a) Find the magnitude of the net gravitational force exerted by
these objects on a 59.0-kg object placed midway between them.
(answer)N
(b) At what position (other than an infinitely remote one) can
the 59.0-kg object be placed so as to experience a net force of
zero from the other two objects? (answer)m from the 405 kg mass
toward the 105 kg mass

An experiment is performed in deep space with two uniform
spheres, one with mass 20.0 kg and the other with mass 108.0 kg .
They have equal radii, r = 0.30 m . The spheres are released from
rest with their centers a distance 40.0 m apart. They accelerate
toward each other because of their mutual gravitational attraction.
You can ignore all gravitational forces other than that between the
two spheres.
A. When their centers are a distance 28.0 m...

A 295-kg object and a 595-kg object are separated by 4.30 m.
(a) Find the magnitude of the net gravitational force exerted by
these objects on a 44.0-kg object placed midway between them.
___N
(b) At what position (other than an infinitely remote one) can the
44.0-kg object be placed so as to experience a net force of zero
from the other two objects?
___m from the 595 kg mass toward the 295 kg mass

Two small, identical conducting spheres repel each other with a
force of 0.035 N when they are 0.55 m apart. After a conducting
wire is connected between the spheres and then removed, they repel
each other with a force of 0.065 N. What is the original charge on
each sphere? (Enter the magnitudes in C.)
Smaller Value:
Larger Value:

3. Two identically shaped spheres are charged so that 1 sphere
has a charge of + 4.00 C and the other has a charge of -1.00 C.
If the two spheres are allowed to touch and then are moved to a
distance of 0.200 m, what is the magnitude of the electric force
between them?

Two identical conducting spheres, fixed in place, attract each
other with an electrostatic force of 0.107 N when their
center-to-center separation is 46.6 cm. The spheres are then
connected by a thin conducting wire. When the wire is removed, the
spheres repel each other with an electrostatic force of 0.0321 N.
Of the initial charges on the spheres, with a positive net charge,
what was (a) the negative charge on one of them
and (b) the positive charge on the...

Two identical conducting spheres, fixed in place, attract each
other with an electrostatic force of 0.155 N when their
center-to-center separation is 45.4 cm. The spheres are then
connected by a thin conducting wire. When the wire is removed, the
spheres repel each other with an electrostatic force of 0.0386 N.
Of the initial charges on the spheres, with a positive net charge,
what was (a) the negative charge on one of them
and (b) the positive charge on the...

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