Answer:
c. Your body is at rest but its inertia puts it in motion
Explanation:
Answer:

Explanation:
As we know that pressure between the cylinder and plunger is increased by 1.59 times
So this will make a net force upwards on the cylinder which is given as

now we will have

Here initial pressure is given as

now new pressure is given as

so we have force on the cylinder given as




now the acceleration is given as



Answer:
2.67kg
Explanation:
The maximum velocity,
of a body experiencing simple harmonic motion is given by equation (1);

where
is the angular velocity and A is the amplitude.
The problem describes the oscillation of a loaded spring, and for a loaded spring the angular velocity is given by equation (2);

where k is the force constant of the spring and m is the loaded mass.
We can make
the subject of formula in equation (1) as follows;

We then combine equations (2) and (3) as follows;

According to the problem, the following are given;

We then substitute these values into equation (4) and solve for the unknown mass m as follows;


Squaring both sides, we obtain the following;

Answer:

Explanation:
Potential Energy= Kinetic Energy
Let
be the value of Kinetic Energy.
We know that

Make
the subject of the formula to get speed at the bottom of the hill.

From conservation of momentum, the ram force can be calculated similarly to rocket thrust:
F = d(mv)/dt = vdm/dt.
<span>In other words, the force needed to decelerate the wind equals the force that would be needed to produce it.
</span><span> v = 120/3.6 = 33.33 m/s
</span><span> dm/dt = v*area*density
</span> dm/dt = (33.33)*((45)*(75))*(1.3)
dm/dt = <span>
146235.375 </span><span>kg/s
</span><span> F = v^2*area*density
</span> F = (33.33)^2*((45)*(75))*(1.3) = <span>
<span>4874025 </span></span><span>N
</span> This differs by a factor of 2 from Bernoulli's equation, which relates velocity and pressure difference in reference not to a head-on collision of the fluid with a surface but to a fluid moving tangentially to the surface. Also, a typical mass-based drag equation, like Bernoulli's equation, has a coefficient of 1/2; however, it refers to a body moving through a fluid, where the fluid encountered by the body is not stopped relative to the body (i.e., brought up to its speed) like is the case in this problem.