1) Answer D not at all
The car is not experiencing any frictional force so that implies that there is no force acting on the car once it starts motion. So, according law of inertia, the car will continue to move and no other force is required.
Friction force is the resistance force that opposes the motion of any object. It arises due to the contact of surfaces.
2) Answer C none
There is no force on any spaceship moving far from any planet. So, according to law of inertia the spacecraft will continue to move at same speed.
Law of inertia states that any object keeps in the state of motion or rest unless a non zero external force is applied on it.
First compute the resultant force F:



Then use Newton's second law to determine the acceleration vector
for the particle:



Let
and
denote the particle's position and velocity vectors, respectively.
(a) Use the fundamental theorem of calculus. The particle starts at rest, so
. Then the particle's velocity vector at <em>t</em> = 10.4 s is



If you don't know calculus, then just use the formula,

So, for instance, the velocity vector at <em>t</em> = 10.4 s has <em>x</em>-component

(b) Compute the angle
for
:

so that the particle is moving at an angle of about 313º counterclockwise from the positive <em>x</em> axis.
(c) We can find the velocity at any time <em>t</em> by generalizing the integral in part (a):


Then using the fundamental theorem of calculus again, we have

where
is the particle's initial position. So we get



So over the first 10.4 s, the particle is displaced by the vector

or a net distance of about 395 m away from its starting position, in the same direction as found in part (b).
(d) See part (c).
Answer:
For the first equation, the work done would be 60 J, but if it is done with 30 N, it would have been 90 J.
Explanation:
it's actually pretty easy one you practice it for some time. W ( work done in joules ) = F ( force put onto the object in newtons ) * D ( distance traveled in meters ).
To solve this problem it is necessary to apply the concepts related to Hooke's Law as well as Newton's second law.
By definition we know that Newton's second law is defined as

m = mass
a = Acceleration
By Hooke's law force is described as

Here,
k = Gravitational constant
x = Displacement
To develop this problem it is necessary to consider the two cases that give us concerning the elongation of the body.
The force to keep in balance must be preserved, so the force by the weight stipulated in Newton's second law and the force by Hooke's elongation are equal, so

So for state 1 we have that with 0.2kg there is an elongation of 9.5cm


For state 2 we have that with 1Kg there is an elongation of 12cm


We have two equations with two unknowns therefore solving for both,


In this way converting the units,


Therefore the spring constant is 313.6N/m