A force (4hat(i)+hat(j)-2hat(k)) ms^(-1)...

A force `(4hat(i)+hat(j)-2hat(k)) ms^(-1)` The power exerted is

4 W

5 W

2 W

8 W

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A particle moves from position 3hat(i)+2hat(j)-6hat(k) to 14hat(i)+13hat(j)+9hat(k) due to a uniform force of 4hat(i)+hat(j)+3hat(k)N . If the displacement is in meters, then find the work done by the force.

Two particle of masses 100g and 300 g at a given time have positions 2 hat(i)+5hat(j)+13 hat(k) and -6hat(i)+4hat(j)-2hat(k) m respectively and velocities 10 hat(i)-7hat(j)-3hat(k)and 7 hat(i)-9hat(j)+6 hat(k) "ms"^(-1) respectively. Determine the instantaneous position and velocity of CM.

A force vec(F) = hat(i) + 3 hat(j) + 2 hat(k) acts on a particle to displace it from the point A (hat(i) + 2hat(j) - 3 hat(k)) to the point B(3hat(i) - hat(j)+5hat(k)) . The work done by the force will be

A force vec(F) = hat(i) + 3hat(j) + 2hat(k) acts on a particle to displace it from the point A (hat(i) + 2hat(j) - 3hat(k)) to the point B (3hat(i) - hat(j) + 5hat(k)) . The work done by the force will be

Forces 2hat(i)+hat(j), 2hat(i)-3hat(j)+6hat(k) and hat(i)+2hat(j)-hat(k) act at a point P, with position vector 4hat(i)-3hat(j)-hat(k) . Find the moment of the resultant of these force about the point Q whose position vector is 6hat(i)+hat(j)-3hat(k) .

A motor boat is going in a river with a velocity vec(V) = (4 hat i-2 hat j + hat k) ms^(-1) . If the resisting force due to stream is vec (F)=(5 hat i-10 hat j+6 hat k)N , then the power of the motor boat is

If vec(F) = (60 hat(i) + 15hat(j) - 3hat(k)) and vec(v) = (2hat(i) - 4hat(j) + 5hat(k))m//s , then instantaneous power is :

A force of 6 hat i+ 7 hat j newton makes a body move on a rough loane with a velocity of (4 hat j = 3 hat k) ms^(-1) . Calculate the power in watt.

What is the projection of the vector hat(i)-2 hat(j) + hat(k) on the vector 4hat(i) - 4hat(j)+ 7hat(k) ?

TARGET PUBLICATION-SCALARS AND VECTORS-Competitive Thinking

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A force (4hat(i)+hat(j)-2hat(k)) ms^(-1) The power exerted is
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Angle between the vectors (hat(i)+hat(j))and (hat(j)-hat(k)) is
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If vec(A)xxvec(B)=vec(B)xxvec(A), then the angle between vec(A) and ve...
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The moment of the force, vec(A)xxvec(B)=vec(B)xxvec(A), at (2,0,-3), a...
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