JEE Main · 2026 · 04 Apr 2026 · Shift 1 · Work, Power & Energy

A 1 kg block subjected to two simultaneous forces

(2 \hat{i} + 3 \hat{j} + 4 \hat{k})

N and

(3 \hat{i} - \hat{j} - 2 \hat{k})

N is moved a distance of 25 m along

(3 \hat{i} - 4 \hat{j})

direction. The work done in this process is _____ J.

Answer: 35

Solution

The net force is

(2 + 3) \hat{i} + (3 - 1) \hat{j} + (4 - 2) \hat{k} = 5 \hat{i} + 2 \hat{j} + 2 \hat{k}

N. The displacement of

25

m along

(3 \hat{i} - 4 \hat{j})

S = 25 \frac{3 i ^ - 4 j ^}{5} = 15 \hat{i} - 20 \hat{j}

m. The work done is

F \cdot S = (5) (15) + (2) (- 20) + (2) (0) = 75 - 40 = 35

JEE Main · 2026 · 04 Apr 2026 · Shift 1 · Integer answer

Practise more: all JEE Main PYQs on Work, Power & Energy →

More JEE Main questions on Work, Power & Energy

Given below are two statements:
Statement I: An object moves from position $r_{1}$ to position $r_{2}$ under a conservative force field $F$ . The work done by the force is $W = - \int_{r_{1}}^{r_{2}} F \cdot d r$ .
Statement II: Any object moving from one l …
JEE Main 2026View solution →
Consider two identical metallic spheres of radius $R$ each having charge $Q$ and mass $m$ . Their centers have an initial separation of $4 R$ . Both the spheres are given an initial speed of $u$ towards each other. The minimum value of $u$ , so that they can just touch e …
JEE Main 2026View solution →
A body of mass 2 kg is moving along x-direction such that its displacement as function of time is given by $x (t) = α t^{2} + β t + γ m$ , where $α = 1 m / s^{2}$ , $β = 1 m / s$ an …
JEE Main 2026View solution →
In case of vertical circular motion of a particle by a thread of length r if the tension in the thread is zero at an angle 30° shown in figure, the velocity at the bottom point (A) of the circular path is (g = gravitational acceleration)
JEE Main 2026View solution →
A spherical ball of mass 2 kg falls from a height of 10 m and is brought to rest after penetrating 10 cm into sand. The average force exerted by sand on the ball is $____$ N.
JEE Main 2026View solution →
A body of mass 2 kg begins to move under the influence of time dependent force $F = (2 t \hat{i} + 6 t^{2} \hat{j})$ N, where $\hat{i}$ and $\hat{j}$ are unit vectors along x and y-axis respectively. The power produced by the force at $t = 2$ s is _____ W.
JEE Main 2026View solution →