(A) Given:Initial velocity, $u = 0 \, m/s$Distance traveled, $S = 400 \, m$Time taken, $t = 20 \, s$Mass of the truck, $m = 7 \, \text{metric tons} =

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Acceleration = $2 \, m/s^2$, Force = $14000 \, N$

(A) Given:Initial velocity, $u = 0 \, m/s$Distance traveled, $S = 400 \, m$Time taken, $t = 20 \, s$Mass of the truck, $m = 7 \, \text{metric tons} = 7000 \, kg$$(a)$ To find the acceleration $(a)$:Using the second equation of motion, $S = ut + \frac{1}{2}at^2$$400 = (0)(20) + \frac{1}{2} \times a \times (20)^2$$400 = \frac{1}{2} \times a \times 400$$a = \frac{400 \times 2}{400} = 2 \, m/s^2$$(b)$ To find the force $(F)$:Using Newton's second law of motion, $F = m \times a$$F = 7000 \, kg \times 2 \, m/s^2 = 14000 \, N$

Class 9 Science FORCE AND LAWS OF MOTION Mix Example - FORCE AND LAWS OF MOTION

Difficult

$A$ truck starts from rest and rolls down a hill with constant acceleration. It travels a distance of $400 \, m$ in $20 \, s$. Find its acceleration. Find the force acting on it, if its mass is $7$ metric tons.

A
Acceleration = $2 \, m/s^2$, Force = $14000 \, N$
B
Acceleration = $1 \, m/s^2$, Force = $7000 \, N$
C
Acceleration = $4 \, m/s^2$, Force = $28000 \, N$
D
Acceleration = $0.5 \, m/s^2$, Force = $3500 \, N$

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FORCE AND LAWS OF MOTION

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Mix Example - FORCE AND LAWS OF MOTION

An object experiences a net zero external unbalanced force. Is it possible for the object to be moving with a non-$zero$ velocity? If yes, state the conditions that must be placed on the magnitude and direction of velocity. If no, provide a reason.

Medium

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Define $(i)$ force $(ii)$ dyne $(iii)$ newton.

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Two balls of the same size but of different materials,rubber and iron,are kept on the smooth floor of a moving train. The brakes are applied suddenly to stop the train. Will the balls start rolling? If so,in which direction? Will they move with the same speed? Give reasons for your answer.

Medium

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$(a)$ Define momentum and mention its $SI$ unit.
$(b)$ From the velocity-time graph shown in the figure for a body of mass $5\, kg$,find the force on the body from:
$(i)$ $O$ to $A$ and $(ii)$ $B$ to $C$.
$(c)$ Which would require a greater force: accelerating a $2\, kg$ mass at $5\, m s^{-2}$ or a $4\, kg$ mass at $2\, m s^{-2}$?

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$A$ car of mass $1000 \, kg$ moving with a velocity of $15 \, m/s$ collides with a tree and comes to rest in $5 \, s$. What will be the force exerted by the car on the tree?

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$A$ truck starts from rest and rolls down a hill with constant acceleration. It travels a distance of $400 \, m$ in $20 \, s$. Find its acceleration. Find the force acting on it, if its mass is $7$ metric tons.

Similar Questions

An object experiences a net zero external unbalanced force. Is it possible for the object to be moving with a non-$zero$ velocity? If yes, state the conditions that must be placed on the magnitude and direction of velocity. If no, provide a reason.

Define $(i)$ force $(ii)$ dyne $(iii)$ newton.

Two balls of the same size but of different materials,rubber and iron,are kept on the smooth floor of a moving train. The brakes are applied suddenly to stop the train. Will the balls start rolling? If so,in which direction? Will they move with the same speed? Give reasons for your answer.

$A$ car of mass $1000 \, kg$ moving with a velocity of $15 \, m/s$ collides with a tree and comes to rest in $5 \, s$. What will be the force exerted by the car on the tree?

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