I think the correct answer from the choices listed above is option A. A certain planet has an escape speed . If another planet has twice size and twice the mass of the first planet, its escape speed will be <span>Sqrt[2] V. Hope this answers the question.</span>
Answer:
(a) The bullet with a mass of 6.0 g
(b) 
Explanation:
(a) Kinetic energy is defined as:

So, we have:


The bullet with a mass of 6.0 g have more kinetic energy
(b) We have
and
. So:

Replacing (1) and (2) in (3):

Answer:
Explanation:
Force = (mass) · (acceleration)
= (1,000 kg) · (9.8 m/s²)
= 9,800 newtons
Answer:
The compression is
.
Explanation:
A Hooke's law spring compressed has a potential energy

where k is the spring constant and
the distance to the equilibrium position.
A mass m moving at speed v has a kinetic energy
.
So, in the first part of the problem, the spring is compressed a distance d, and then launch the mass at velocity
. Knowing that the energy is constant.

If we want to double the kinetic energy, then, the knew kinetic energy for a obtained by compressing the spring a distance D, implies:

But, in the left side we can use the previous equation to obtain:





And this is the compression we are looking for
The correct option is this: IT WOULD MOVE IN A CURVED CIRCULAR PATH.
Objects that are travelling in circular paths change directions all the time as they move round the circle, but they are prevented from moving off in a straight line by centripetal force. The centripetal force keeps pulling the objects towards the center of the circle. <span />