K A Tsokos Solutions for Chapter: Mechanics, Exercise 5: Exam-style questions

Consider that one object is thrown directly downward at a displacement of 32 meters with an initial velocity of 13 m/s. How much time it will take to reach the maximum point? ( is in a sec)

The graph shows the path followed by the stone, until just before hitting the ground, in the absence of the air resistance.

Draw the path of the stone in the presence of an air resistance force opposite the velocity and proportional to the speed.

For given graph state and explain motion without air resistance and with air resistance. And why it's happening?

For the given information, determine the power generated by the helicopter. ( in W)

$F= {\mathrm{\pi \rho v}}^2{\mathrm{R}}^2$

$\rho = 1.2 kg/m^3$

$m=0.30 kg$

$R = 0.25 m$

$v = 3.5 m/s$

If the object moving in the horizontal direction with an acceleration $29.4 m/s^2$, what is the velocity after time $0.95s$? (in m/s)

Here initial velocity is zero.

If the particle is moving in the horizontal direction, then what is the work done by the particle? (in J)

Force exerted on the particle is $11.75 N$ And travelled distance is $12 m$

A bullet of mass $0.090 \mathrm{kg}$is shot at a wooden block of mass $1.20 \mathrm{kg}$ that is hanging vertically at the end of a string.

The bullet enters the block with the speed$130 \mathrm{m}/\mathrm{s}$and leaves it with a speed of $90 \mathrm{m}/\mathrm{s}$ . The mass of the block does not change appreciably as a result of the hole made by the bullet.

As a result of the impact, the block is displaced. The maximum angle that the string makes with the vertical is $\theta$. The length of the string is $0.8 \mathrm{m}$. 

State and explain whether the block is in equilibrium

A bullet of mass $0.090 \mathrm{kg}$is shot at a wooden block of mass $1.20 \mathrm{kg}$ that is hanging vertically at the end of a string.

The bullet enters the block with the speed$130 \mathrm{m}/\mathrm{s}$and leaves it with a speed of $90 \mathrm{m}/\mathrm{s}$ . The mass of the block does not change appreciably as a result of the hole made by the bullet. As a result of the impact, the block is displaced. The maximum angle that the string makes with the vertical is $\theta$. The length of the string is $0.8 \mathrm{m}$. 

Calculate the tension in string.