This type of a problem can be solved by considering energy transformations. Initially, the spring is compressed, thus having stored something called an elastic potential energy. This energy is proportional to the square of the spring displacement d from its normal (neutral position) and the spring constant k:

So, this spring is storing almost 12 Joules of potential energy. This energy is ready to be transformed into the kinetic energy when the masses are released. There are two 0.2kg masses that will be moving away from each other, their total kinetic energy after the release equaling the elastic energy prior to the release (no losses, since there is no friction to be reckoned with).
The kinetic energy of a mass m moving with a velocity v is given by:

And we know that the energies are conserved, so the two kinetic energies will equal the elastic potential one:

From this we can determine the speed of the mass:

The speed will be 7.74m/s in in one direction (+), and same magnitude in the opposite direction (-).
Answer:

Explanation:
As we know that backpack is kicked on the rough floor with speed "v"
So here as per force equation in vertical direction we know that

so normal force on the block is given as

now the magnitude of kinetic friction on the block is given as


now when bag is sliding on the floor then net deceleration of the block due to friction is given as


now we know that bag hits the opposite wall at L distance away in time t
so we have



The object has been moved by 5 m
Explanation:
The work done by a force when moving an object (which is equal to the energy used to move the object) is given by

where
F is the magnitude of the force
d is the displacement of the object
is the angle between the direction of the force and of the displacement
In this problem, we have
W = 35 J is the work done
F = 7.0 N is the magnitude of the force
, assuming the force is applied parallel to the direction of motion of the object
Therefore, we can solve the formula for d to find the displacement of the object:

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If all the mechanical energy is converted into heat that stays in the water. 0.21˚C rise in temperature occurs in a 90.0 m waterfall.
The total kinetic and potential energy is known as mechanical energy. According to the principle of mechanical energy conservation, mechanical energy is constant in an isolated system when only conservative forces are acting on it.
The mechanical energy of water is converted into heat energy.
P.E = mgh = m x 9.8 x 90.0
P.E = 882 m.
Let rise in temperature θ
Heat energy = mass × specific heat × temperature change
Heat energy = m x s x θ
specific heat = 4186 J/(Kg *˚C)
m x s x θ = 882 m
m x 4186 x θ = 882 m
θ = 0.21˚C.
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The solar wind is deflected by the magnetosphere