Solve each of the following systems of equations using matrix method.
Question: Solve each of the following systems of equations using matrix method. $x-2 y+z=0$ $y-z=2$ $2 x-3 z=10$ Solution:...
Read More →Solve each of the following systems of equations using matrix method.
Question: Solve each of the following systems of equations using matrix method. $5 x-y=-7$ $2 x+3 z=1$ $3 y-z=5$ Solution:...
Read More →Solve each of the following systems of equations using matrix method.
Question: Solve each of the following systems of equations using matrix method. $x-y-2 z=3$ $x+y=1$ $x+z=-6$ Solution:...
Read More →Solve each of the following systems of equations using matrix method.
Question: Solve each of the following systems of equations using matrix method. $x+2 y+z=4$ $-x+y+z=0$ $x-3 y+z=4$ Solution:...
Read More →Solve each of the following systems of equations using matrix method.
Question: Solve each of the following systems of equations using matrix method. $2 x+y-z=1$ $x-y+z=2$ $3 x+y-2 z=-1$ Solution: $\therefore x=1, y=2, z=3$...
Read More →Solve each of the following systems of equations using matrix method.
Question: Solve each of the following systems of equations using matrix method. $x+y-z=1$ $3 x+y-2 z=3$ $x-y-z=-1$ Solution:...
Read More →Find the average frictional force needed to stop a car weighing
Question: Find the average frictional force needed to stop a car weighing $500 \mathrm{~kg}$ in a distance of $25 \mathrm{~m}$ if the initial speed is $72 \mathrm{~km} / \mathrm{h}$. Solution:...
Read More →Solve each of the following systems of equations using matrix method.
Question: Solve each of the following systems of equations using matrix method. $3 x-4 y+2 z=-1$ $2 x+3 y+5 z=7$ $x+z=2$ Solution: To find: $-x, y, z$...
Read More →A block of weight 100 N is slowly slid up on a smooth
Question: A block of weight $100 \mathrm{~N}$ is slowly slid up on a smooth incline of inclination $37^{\circ}$ by a person. Calculate the work done by the person in moving the block through a distance of $2.0 \mathrm{~m}$, if the driving force is (a) parallel to the incline and (b) in the horizontal direction. Solution:...
Read More →A box weighing 2000 N is to be slowly slid through
Question: A box weighing $2000 \mathrm{~N}$ is to be slowly slid through $20 \mathrm{~m}$ on a straight track having friction coefficient $0.2$ with the box. (a) Find the work done by the person pulling the box with a chain at an angle 9 with the horizontal. (b) Find the work when the person has chosen a value of 0 which ensures him the minimum magnitude of the force. Solution:...
Read More →Solve each of the following systems of equations using matrix method.
Question: Solve each of the following systems of equations using matrix method. $6 x-9 y-20 z=-4$ $4 x-15 y+10 z=-1$ $2 x-3 y-5 z=-1$ Solution:...
Read More →A block of mass $m$ is kept over another block of mass
Question: A block of mass $m$ is kept over another block of mass $M$ and the system rests on a horizontal surface (figure 8-E1). A constant horizontal force F acting on the lower block produces an acceleration $F / 2(m+M)$ in the system, the two blocks always move together. (a) Find the coefficient of kinetic friction between the bigger block and the horizontal surface. (b) Find the frictional force acting on the smaller block. (c) Find the work done by the force of friction on the smaller block...
Read More →Solve each of the following systems of equations using matrix method.
Question: Solve each of the following systems of equations using matrix method. $x-y+2 z=7$ $3 x+4 y-5 z=-5$ $2 x-y+3 z=12$ Solution:...
Read More →A block of mass 250 g slides down an incline of
Question: A block of mass $250 \mathrm{~g}$ slides down an incline of inclination $37^{\circ}$ with a uniform speed. Find the work done against the friction as the block slides through $1 \mathrm{~m}$. Solution:...
Read More →A force F = a + bx acts on a particle in the x-direction,
Question: A force $\mathrm{F}=\mathrm{a}+\mathrm{bx}$ acts on a particle in the x-direction, where a and $\mathrm{b}$ are constants. Find the work done by this force during a displacement from $x=0$ to $x=d$. Solution:...
Read More →A man moves on a straight horizontal road
Question: A man moves on a straight horizontal road with a block of mass $2 \mathrm{~kg}$ in his hand. If he covers a distance of 40 in with an acceleration of $0.5 \mathrm{~m} / \mathrm{s}^{2}$, find the work done by the man on the block during the motion. Solution: $F=m a$ $W=F \cdot d$ $W=1 \times 40$ $W=40 \mathrm{~J}$...
Read More →A particle moves from a point
Question: A particle moves from a point $\mathrm{r}=(2 \mathrm{~m})^{\hat{\imath}}+(3 \mathrm{~m})^{\hat{\jmath}}$ to another point $\mathrm{r}_{2}=(3 \mathrm{~m})^{\hat{\imath}}+(2 \mathrm{~m})^{\hat{\jmath}}$ during which a certain force $\mathrm{F}=(5 \mathrm{~N}) \hat{\imath}$ $+(5 \mathrm{~N})^{\hat{\jmath}}$ acts on it. Find the work done by the force on the particle during the displacement. Solution:...
Read More →Solve each of the following systems of equations using matrix method.
Question: Solve each of the following systems of equations using matrix method. $4 x-5 y-11 z=12$ $x-3 y+z=1$ $2 x+3 y-7 z=2$ Solution:...
Read More →A constant force of
Question: A constant force of $2.50 \mathrm{~N}$ accelerates a stationary particle of mass $15 \mathrm{~g}$ through a displacement of $2.50 \mathrm{~m}$. Find the work done and the average power delivered? Solution:...
Read More →A constant force of
Question: A constant force of $2.50 \mathrm{~N}$ accelerates a stationary particle of mass $15 \mathrm{~g}$ through a displacement of $2.50 \mathrm{~m}$. Find the work done and the average power delivered? Solution:...
Read More →A block of mass
Question: A block of mass $5.0 \mathrm{~kg}$ slides down an incline of inclination $30^{\circ}$ and length $10 \mathrm{~m}$. Find the work done by the force of gravity. Solution:...
Read More →A box is pushed through
Question: A box is pushed through $4.0 \mathrm{~m}$ across a floor offering $100 \mathrm{~N}$ resistance. How much work is done by the resisting force? Solution: Resisting force $\mathrm{F}_{\mathrm{R}}=\mathrm{F} \cdot \mathrm{d}$ $\mathrm{F}_{\mathrm{R}}=\mathrm{F} d \cos \theta=100 \times 4$ $\mathrm{~F}_{\mathrm{R}}=400 \mathrm{~J}$...
Read More →Solve each of the following systems of equations using matrix method.
Question: Solve each of the following systems of equations using matrix method. $2 x+3 y+3 z=5$ $x-2 y+z=-4$ $3 x-y-2 z=3$ Solution:...
Read More →A block of mass
Question: A block of mass $2.00 \mathrm{~kg}$ moving at a speed of $10.0 \mathrm{~m} / \mathrm{s}$ accelerates at $3.00 \mathrm{~m} / \mathrm{s}^{2}$ for $5.00 \mathrm{~s}$. Compute its final kinetic energy. Solution:...
Read More →The mass of cyclist together with the bike is
Question: The mass of cyclist together with the bike is $90 \mathrm{~kg}$. Calculate the increase in kinetic energy if the speed increases from 6 ' 0 $\mathrm{km} / \mathrm{h}$ to $12 \mathrm{~km} / \mathrm{h}$. Solution:...
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