Other Problem Solutions: Expert Help and Step-by-Step Explanation

An expandable cylinder has its top connected to a spring with force constant.
${\displaystyle 2.00\times {10}^3\frac{N}{m}}$. The cylinder is filled with 5.00 L of gas with the spring relaxed at a pressure of 1.00 atm and a temperature of ${\displaystyle {20.0}^{\circ }}$

(a) If the lid has a cross-sectional area of 0.0100 ${\displaystyle m^2}$ and negligible mass, how high will the lidrise when the temperature is raised to T = 220°C?
(b) What is the pressure of the gas at 220°C?

The bent wire shown in Fig. lies in a uniform magnetic field. Each straight section is 2.0 m long and makes an angle of ${\displaystyle ={57}^{\circ }}$ with the x axis, and the wire carries a current of 2.0 A.

(a) What is the net magnetic force on the wire in unit-vector notation if the magnetic field is 4.0 T?
(b) What is the net magnetic force on the wire in unit-vector notation if the magnetic field is 4.0 T?

Given the following function:
${\displaystyle f\left(x\right)=1.01e^{4x}-4.62e^{3x}-3.11e^{2x}+12.2e^x}$
a) Use three-digit rounding frithmetic, the assumption that ${\displaystyle e^{1.53}=4.62}$, and the fact that ${\displaystyle e^{nx}={\left(e^x\right)}^n}$ to evaluate ${\displaystyle f\left(1.53\right)}$
b) Redo the same calculation by first rewriting the equation using the polynomial factoring technique
c) Calculate the percentage relative errors in both part a) and b) to the true result ${\displaystyle f\left(1.53\right)=-7.60787}$

Racing Racing Cars A and B are traveling on circular portions of a racetrack. In the instant shown, the speed of A is decreasing auto rate of ${\displaystyle 8\frac{m}{s^2}}$, and the speed of B is increasing at the rate of ${\displaystyle 3\frac{m}{s^2}}$. For the positions shown, determine (a) the velocity of B relative to A, (b) the acceleration of B relative to A.

simplify the expression: $\csc (\arctan 2x)$

Block A in the fig. 5.58 weighs 1.20N and Block B weighs3.60N. The Coefficient of kinetic friction between all surfaces is0. 300. Find the magnitude of the horizontal force F necessary to drag black B to the left at a constant speed a) if A rest on B and moves with it (fig. 5.28am). b) If A is held at rest.

On a long flat firing range, a projectile is fired with an initial speed of 75.2 m/s at an angle of 34.5 degrees above the horizontal. Determine (a) the maximum height reached by the projectile, (b) the total time in the air, (c) the total horizontal distance covered (that is, the range) and (d) the velocity of the projectile 1.50 s after firing.

An automobile has a mass of 1200 kg. What is its kinetic energy, in kJ, relative to the road when traveling at a velocity of 50 km/h? If the vehicle accelerates to 100 km/h, what is the change in kinetic energy, in kJ?

A 2.10 kg book is raised 2.20 m above the ground by a 1.60 m tall person. What is the book's potential energy in relation to:
(a) the ground and 
(b) the top of the persons

Find the exact length of the parametric curve ${\displaystyle 0<t<\pi }$
${\displaystyle x=\cos \cdot e^t}$
${\displaystyle y=\sin \cdot e^t}$

To check: Whether the set of numbers $\{\sqrt{3},\pi ,\frac{\sqrt[3]{2}}{4},\sqrt{5}\}$ contains integers, rational numbers, and (or) irrational numbers.