363562
An object with mass 5 \(kg\) is acted upon by a force, \(F = ( - 3i + 4j)N\). If its initial velocity at \(t = 0\) is \(v = (6i - 12j)m{s^{ - 1}}\), the time at which it will just have a velocity along \(Y\)-axis is
1 \(2\,s\)
2 \(5\,s\)
3 \(15\,s\)
4 \(10\,s\)
Explanation:
Given that \({u_x} = 6,{a_x} = \frac{{ - 3}}{5}\) Initial velocity along \(X\) - axis to become zero, \({v_x} = {u_x} + {a_x}t\) \( \Rightarrow \,t = \frac{{{v_x} - {u_x}}}{{{a_x}}} = \frac{{0 - 6}}{{ - 3/5}} = 10\,\,s\) \( = \frac{{30}}{3} = 10\,\,s\)
KCET - 2019
PHXI05:LAWS OF MOTION
363563
A particle of mass 0.3 \(kg\) is subjected to a force \(F = kx\) with \(k = 15\,N{m^{ - 1}}\). What will be its initial acceleration if it is released from a point 20 \(cm\) away from the origin.
363564
A body of mass \(4\,kg\) experiences two forces \(\vec{F}_{1}=5 \hat{i}+8 \hat{j}+7 \hat{k}\) and \(\vec{F}_{2}=3 \hat{i}-4 \hat{j}-3 \hat{k}\).The acceleration acting on the body is
363565
Statement A : If force is not parallel to the velocity of the body, but makes some angle with it, it changes the component of velocity along the direction of force. Statement B : The component of velocity normal to the force remains unchanged.
1 Statement A is correct but Statement B is incorrect.
2 Statement A is incorrect but Statement B is correct.
3 Both Statements are correct.
4 Both Statements are incorrect.
Explanation:
Force is a vector quantity. Thus, if force is not parallel to the velocity of the body, but makes some angle with it, it changes the component of velocity along the direction of force. The component of velocity normal to the force remains unchanged, eg, projectile motion, horizontal component of velocity does not change under the effect of vertical gravitational force.
363562
An object with mass 5 \(kg\) is acted upon by a force, \(F = ( - 3i + 4j)N\). If its initial velocity at \(t = 0\) is \(v = (6i - 12j)m{s^{ - 1}}\), the time at which it will just have a velocity along \(Y\)-axis is
1 \(2\,s\)
2 \(5\,s\)
3 \(15\,s\)
4 \(10\,s\)
Explanation:
Given that \({u_x} = 6,{a_x} = \frac{{ - 3}}{5}\) Initial velocity along \(X\) - axis to become zero, \({v_x} = {u_x} + {a_x}t\) \( \Rightarrow \,t = \frac{{{v_x} - {u_x}}}{{{a_x}}} = \frac{{0 - 6}}{{ - 3/5}} = 10\,\,s\) \( = \frac{{30}}{3} = 10\,\,s\)
KCET - 2019
PHXI05:LAWS OF MOTION
363563
A particle of mass 0.3 \(kg\) is subjected to a force \(F = kx\) with \(k = 15\,N{m^{ - 1}}\). What will be its initial acceleration if it is released from a point 20 \(cm\) away from the origin.
363564
A body of mass \(4\,kg\) experiences two forces \(\vec{F}_{1}=5 \hat{i}+8 \hat{j}+7 \hat{k}\) and \(\vec{F}_{2}=3 \hat{i}-4 \hat{j}-3 \hat{k}\).The acceleration acting on the body is
363565
Statement A : If force is not parallel to the velocity of the body, but makes some angle with it, it changes the component of velocity along the direction of force. Statement B : The component of velocity normal to the force remains unchanged.
1 Statement A is correct but Statement B is incorrect.
2 Statement A is incorrect but Statement B is correct.
3 Both Statements are correct.
4 Both Statements are incorrect.
Explanation:
Force is a vector quantity. Thus, if force is not parallel to the velocity of the body, but makes some angle with it, it changes the component of velocity along the direction of force. The component of velocity normal to the force remains unchanged, eg, projectile motion, horizontal component of velocity does not change under the effect of vertical gravitational force.
363562
An object with mass 5 \(kg\) is acted upon by a force, \(F = ( - 3i + 4j)N\). If its initial velocity at \(t = 0\) is \(v = (6i - 12j)m{s^{ - 1}}\), the time at which it will just have a velocity along \(Y\)-axis is
1 \(2\,s\)
2 \(5\,s\)
3 \(15\,s\)
4 \(10\,s\)
Explanation:
Given that \({u_x} = 6,{a_x} = \frac{{ - 3}}{5}\) Initial velocity along \(X\) - axis to become zero, \({v_x} = {u_x} + {a_x}t\) \( \Rightarrow \,t = \frac{{{v_x} - {u_x}}}{{{a_x}}} = \frac{{0 - 6}}{{ - 3/5}} = 10\,\,s\) \( = \frac{{30}}{3} = 10\,\,s\)
KCET - 2019
PHXI05:LAWS OF MOTION
363563
A particle of mass 0.3 \(kg\) is subjected to a force \(F = kx\) with \(k = 15\,N{m^{ - 1}}\). What will be its initial acceleration if it is released from a point 20 \(cm\) away from the origin.
363564
A body of mass \(4\,kg\) experiences two forces \(\vec{F}_{1}=5 \hat{i}+8 \hat{j}+7 \hat{k}\) and \(\vec{F}_{2}=3 \hat{i}-4 \hat{j}-3 \hat{k}\).The acceleration acting on the body is
363565
Statement A : If force is not parallel to the velocity of the body, but makes some angle with it, it changes the component of velocity along the direction of force. Statement B : The component of velocity normal to the force remains unchanged.
1 Statement A is correct but Statement B is incorrect.
2 Statement A is incorrect but Statement B is correct.
3 Both Statements are correct.
4 Both Statements are incorrect.
Explanation:
Force is a vector quantity. Thus, if force is not parallel to the velocity of the body, but makes some angle with it, it changes the component of velocity along the direction of force. The component of velocity normal to the force remains unchanged, eg, projectile motion, horizontal component of velocity does not change under the effect of vertical gravitational force.
363562
An object with mass 5 \(kg\) is acted upon by a force, \(F = ( - 3i + 4j)N\). If its initial velocity at \(t = 0\) is \(v = (6i - 12j)m{s^{ - 1}}\), the time at which it will just have a velocity along \(Y\)-axis is
1 \(2\,s\)
2 \(5\,s\)
3 \(15\,s\)
4 \(10\,s\)
Explanation:
Given that \({u_x} = 6,{a_x} = \frac{{ - 3}}{5}\) Initial velocity along \(X\) - axis to become zero, \({v_x} = {u_x} + {a_x}t\) \( \Rightarrow \,t = \frac{{{v_x} - {u_x}}}{{{a_x}}} = \frac{{0 - 6}}{{ - 3/5}} = 10\,\,s\) \( = \frac{{30}}{3} = 10\,\,s\)
KCET - 2019
PHXI05:LAWS OF MOTION
363563
A particle of mass 0.3 \(kg\) is subjected to a force \(F = kx\) with \(k = 15\,N{m^{ - 1}}\). What will be its initial acceleration if it is released from a point 20 \(cm\) away from the origin.
363564
A body of mass \(4\,kg\) experiences two forces \(\vec{F}_{1}=5 \hat{i}+8 \hat{j}+7 \hat{k}\) and \(\vec{F}_{2}=3 \hat{i}-4 \hat{j}-3 \hat{k}\).The acceleration acting on the body is
363565
Statement A : If force is not parallel to the velocity of the body, but makes some angle with it, it changes the component of velocity along the direction of force. Statement B : The component of velocity normal to the force remains unchanged.
1 Statement A is correct but Statement B is incorrect.
2 Statement A is incorrect but Statement B is correct.
3 Both Statements are correct.
4 Both Statements are incorrect.
Explanation:
Force is a vector quantity. Thus, if force is not parallel to the velocity of the body, but makes some angle with it, it changes the component of velocity along the direction of force. The component of velocity normal to the force remains unchanged, eg, projectile motion, horizontal component of velocity does not change under the effect of vertical gravitational force.
