The graph above shows the magnitude of the force applied to an initially stationary $20 k g$ curling rock over time. Find out the velocity of the rock after the force has been applied to it?

1.25 m / s

No worries! We‘ve got your back. Try BYJU‘S free classes today!

5 m / s

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

10 m / s

No worries! We‘ve got your back. Try BYJU‘S free classes today!

25 m / s

No worries! We‘ve got your back. Try BYJU‘S free classes today!

50 m / s

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is B $5 m / s$
Area under the $F - t$ graph gives the impulse given to the object during that period.
Impulse $J = \frac{1}{2} \times 50 \times 4 = 100$ Ns
Initial velocity of the rock is zero.
Let the velocity of the rock just after the force is applied be $V$ .
Using $J = Δ P = m v - 0$
$∴$ $100 = 20 V$ $⟹ V = 5$ m/s

Suggest Corrections

Similar questions

Q. In how much time an object having mass of

100 k g

will speed up from

5 m / s

25 m / s

, if

500 N

force will be applied over it?

An object of mass 50 kg has an initial velocity of $10 m / s$ . A force is applied on the object producing an acceleration of $2~ m/ $s^2$$ . what is the force applied on the object?

Q. An object of

40 k g

mass is moving with velocity

2 m / s

. A force applied on it increases its velocity to

5 m / s

. Find the work done by force.

A force applied by an engine of a train of mass $2.05 \times 10^{6} k g$ changes its velocity from 5 m/s to 25 m/s in 5 minutes. The power of the engine is

Q. A constant force acts on an object of mass 5kg for duration of 2s. It increases the object velocity from 3m/s to 7m/s. Find the magnitude of applied force. Now if the force was applied for the duration of 5s what would be the final velocity of the object

Join BYJU'S Learning Program

The graph above shows the magnitude of the force applied to an initially stationary 20kg curling rock over time. Find out the velocity of the rock after the force has been applied to it?

The correct option is B 5m/sArea under the F−t graph gives the impulse given to the object during that period.Impulse J=12×50×4=100 Ns Initial velocity of the rock is zero.Let the velocity of the rock just after the force is applied be V.Using J=ΔP=mv−0 ∴ 100=20V ⟹V=5 m/s

The graph above shows the magnitude of the force applied to an initially stationary $20 k g$ curling rock over time. Find out the velocity of the rock after the force has been applied to it?