Answer:
Explanation:
A mass of 700 kg will exert a force of
700 x 9.8
= 6860 N.
Amount of compression x = 4 cm
= 4 x 10⁻² m
Force constant K = force of compression / compression
= 6860 / 4 x 10⁻²
= 1715 x 10² Nm⁻¹.
Let us take compression of r at any moment
Restoring force by spring
= k r
Force required to compress = kr
Let it is compressed by small length dr during which force will remain constant.
Work done
dW = Force x displacement
= -kr -dr
= kr dr
Work done to compress by length d
for it r ranges from 0 to -d
Integrating on both sides
W =
= [ kr²/2]₀^-4
= 1/2 kX16X10⁻⁴
= .5 x 1715 x 10² x 16 x 10⁻⁴
= 137.20 J
Answer:
New gravitational force would be:
Explanation:
Recall the general form of the gravitational force between two objects of masses m1 and m2 separated a distance "d":
which for the 2000 kg trucks becomes:
when we add 1000 kg of bricks to one truck, we get the following unknown force (x) that we need to find:
Now we divide term by term the last equation by the previous one, in order to cancel out common factors to both equation (G, d^2) and get the following equation:
The acceleration of the bike is equal to opposing the movement (to the right).
Why?
Since after the rider slams the brakes, the bike came to a stop, we know that the acceleration is opposite to the velocity/movement.
We can use the following equation to calculate the acceleration:
So, substituting, we have: (let's consider negative to the left and positive to the right)
The negative sign means that the acceleration's direction is opposite to the movement.
Hence, we have that the acceleration is equal to opposing the movement (to the right).
Have a nice day!
List of metals along with their work function will be provided to you in exams. Here, possible metal is silver(Ag).