01. Potential and Kinetic Energy
Work, Energy and Power

148956 A ball of mass $2 \mathrm{~kg}$ is moving in $x y$ plane with a potential energy given as $U=(12 x+16 y) J, x$ and $y$ being in meter. Assume the initial position of the ball at $t=0$ is at origin $(0,0)$ and it is moving with a velocity of $(15 \hat{\mathbf{i}}+20 \hat{\mathbf{j}}) \mathrm{m} / \mathrm{s}$. Then identify the correct statement.

1 The path of the ball is parabolic
2 The direction of motion of the ball initially at $\mathrm{t}=0$ parallel to the direction of acceleration
3 The speed of the ball at $t=2 \mathrm{~s}$ is $5 \mathrm{~m} / \mathrm{s}$
4 The magnitude of acceleration of the ball is 8 $\mathrm{m} / \mathrm{s}^{2}$
Work, Energy and Power

148957 Consider a rocket is being fired. The kinetic energy of the rocket is increased by 16 times where as its total mass is reduced by half through the burning of fuel. The factor by which its momentum increases is

1 8
2 $2 \sqrt{2}$
3 4
4 $4 \sqrt{2}$
Work, Energy and Power

148958 The momentum of a particle is numerically equal to its kinetic energy. What will be the velocity of the particle?

1 $1 \mathrm{~m} \cdot \mathrm{s}^{-1}$
2 $2 \mathrm{~m} \cdot \mathrm{s}^{-1}$
3 $3 \mathrm{~m} \cdot \mathrm{s}^{-1}$
4 $4 \mathrm{~m} \cdot \mathrm{s}^{-1}$
Work, Energy and Power

148959 A running boy has the same kinetic energy as that of a man of twice his mass. If the speed of the boy is $14.14 \mathrm{~ms}^{-1}$, the speed of the man is

1 $1.414 \mathrm{~ms}^{-1}$
2 $0.25 \mathrm{~ms}^{-1}$
3 $10 \mathrm{~ms}^{-1}$
4 $3 \sqrt{2} \mathrm{~ms}^{-1}$
5 $0.5 \mathrm{~ms}^{-1}$
Work, Energy and Power

148960 A body of mass $2 \mathrm{~kg}$ is moving with a momentum of $10 \mathrm{~kg} \mathrm{~ms}^{-1}$. The force needed to increase its kinetic energy by four times in $\mathbf{1 0}$ seconds is

1 $2 \mathrm{~N}$
2 $4 \mathrm{~N}$
3 $1 \mathrm{~N}$
4 $0.5 \mathrm{~N}$
5 $8 \mathrm{~N}$
Work, Energy and Power

148956 A ball of mass $2 \mathrm{~kg}$ is moving in $x y$ plane with a potential energy given as $U=(12 x+16 y) J, x$ and $y$ being in meter. Assume the initial position of the ball at $t=0$ is at origin $(0,0)$ and it is moving with a velocity of $(15 \hat{\mathbf{i}}+20 \hat{\mathbf{j}}) \mathrm{m} / \mathrm{s}$. Then identify the correct statement.

1 The path of the ball is parabolic
2 The direction of motion of the ball initially at $\mathrm{t}=0$ parallel to the direction of acceleration
3 The speed of the ball at $t=2 \mathrm{~s}$ is $5 \mathrm{~m} / \mathrm{s}$
4 The magnitude of acceleration of the ball is 8 $\mathrm{m} / \mathrm{s}^{2}$
Work, Energy and Power

148957 Consider a rocket is being fired. The kinetic energy of the rocket is increased by 16 times where as its total mass is reduced by half through the burning of fuel. The factor by which its momentum increases is

1 8
2 $2 \sqrt{2}$
3 4
4 $4 \sqrt{2}$
Work, Energy and Power

148958 The momentum of a particle is numerically equal to its kinetic energy. What will be the velocity of the particle?

1 $1 \mathrm{~m} \cdot \mathrm{s}^{-1}$
2 $2 \mathrm{~m} \cdot \mathrm{s}^{-1}$
3 $3 \mathrm{~m} \cdot \mathrm{s}^{-1}$
4 $4 \mathrm{~m} \cdot \mathrm{s}^{-1}$
Work, Energy and Power

148959 A running boy has the same kinetic energy as that of a man of twice his mass. If the speed of the boy is $14.14 \mathrm{~ms}^{-1}$, the speed of the man is

1 $1.414 \mathrm{~ms}^{-1}$
2 $0.25 \mathrm{~ms}^{-1}$
3 $10 \mathrm{~ms}^{-1}$
4 $3 \sqrt{2} \mathrm{~ms}^{-1}$
5 $0.5 \mathrm{~ms}^{-1}$
Work, Energy and Power

148960 A body of mass $2 \mathrm{~kg}$ is moving with a momentum of $10 \mathrm{~kg} \mathrm{~ms}^{-1}$. The force needed to increase its kinetic energy by four times in $\mathbf{1 0}$ seconds is

1 $2 \mathrm{~N}$
2 $4 \mathrm{~N}$
3 $1 \mathrm{~N}$
4 $0.5 \mathrm{~N}$
5 $8 \mathrm{~N}$
NEET Test Series from KOTA - 10 Papers In MS WORD WhatsApp Here
Work, Energy and Power

148956 A ball of mass $2 \mathrm{~kg}$ is moving in $x y$ plane with a potential energy given as $U=(12 x+16 y) J, x$ and $y$ being in meter. Assume the initial position of the ball at $t=0$ is at origin $(0,0)$ and it is moving with a velocity of $(15 \hat{\mathbf{i}}+20 \hat{\mathbf{j}}) \mathrm{m} / \mathrm{s}$. Then identify the correct statement.

1 The path of the ball is parabolic
2 The direction of motion of the ball initially at $\mathrm{t}=0$ parallel to the direction of acceleration
3 The speed of the ball at $t=2 \mathrm{~s}$ is $5 \mathrm{~m} / \mathrm{s}$
4 The magnitude of acceleration of the ball is 8 $\mathrm{m} / \mathrm{s}^{2}$
Work, Energy and Power

148957 Consider a rocket is being fired. The kinetic energy of the rocket is increased by 16 times where as its total mass is reduced by half through the burning of fuel. The factor by which its momentum increases is

1 8
2 $2 \sqrt{2}$
3 4
4 $4 \sqrt{2}$
Work, Energy and Power

148958 The momentum of a particle is numerically equal to its kinetic energy. What will be the velocity of the particle?

1 $1 \mathrm{~m} \cdot \mathrm{s}^{-1}$
2 $2 \mathrm{~m} \cdot \mathrm{s}^{-1}$
3 $3 \mathrm{~m} \cdot \mathrm{s}^{-1}$
4 $4 \mathrm{~m} \cdot \mathrm{s}^{-1}$
Work, Energy and Power

148959 A running boy has the same kinetic energy as that of a man of twice his mass. If the speed of the boy is $14.14 \mathrm{~ms}^{-1}$, the speed of the man is

1 $1.414 \mathrm{~ms}^{-1}$
2 $0.25 \mathrm{~ms}^{-1}$
3 $10 \mathrm{~ms}^{-1}$
4 $3 \sqrt{2} \mathrm{~ms}^{-1}$
5 $0.5 \mathrm{~ms}^{-1}$
Work, Energy and Power

148960 A body of mass $2 \mathrm{~kg}$ is moving with a momentum of $10 \mathrm{~kg} \mathrm{~ms}^{-1}$. The force needed to increase its kinetic energy by four times in $\mathbf{1 0}$ seconds is

1 $2 \mathrm{~N}$
2 $4 \mathrm{~N}$
3 $1 \mathrm{~N}$
4 $0.5 \mathrm{~N}$
5 $8 \mathrm{~N}$
Work, Energy and Power

148956 A ball of mass $2 \mathrm{~kg}$ is moving in $x y$ plane with a potential energy given as $U=(12 x+16 y) J, x$ and $y$ being in meter. Assume the initial position of the ball at $t=0$ is at origin $(0,0)$ and it is moving with a velocity of $(15 \hat{\mathbf{i}}+20 \hat{\mathbf{j}}) \mathrm{m} / \mathrm{s}$. Then identify the correct statement.

1 The path of the ball is parabolic
2 The direction of motion of the ball initially at $\mathrm{t}=0$ parallel to the direction of acceleration
3 The speed of the ball at $t=2 \mathrm{~s}$ is $5 \mathrm{~m} / \mathrm{s}$
4 The magnitude of acceleration of the ball is 8 $\mathrm{m} / \mathrm{s}^{2}$
Work, Energy and Power

148957 Consider a rocket is being fired. The kinetic energy of the rocket is increased by 16 times where as its total mass is reduced by half through the burning of fuel. The factor by which its momentum increases is

1 8
2 $2 \sqrt{2}$
3 4
4 $4 \sqrt{2}$
Work, Energy and Power

148958 The momentum of a particle is numerically equal to its kinetic energy. What will be the velocity of the particle?

1 $1 \mathrm{~m} \cdot \mathrm{s}^{-1}$
2 $2 \mathrm{~m} \cdot \mathrm{s}^{-1}$
3 $3 \mathrm{~m} \cdot \mathrm{s}^{-1}$
4 $4 \mathrm{~m} \cdot \mathrm{s}^{-1}$
Work, Energy and Power

148959 A running boy has the same kinetic energy as that of a man of twice his mass. If the speed of the boy is $14.14 \mathrm{~ms}^{-1}$, the speed of the man is

1 $1.414 \mathrm{~ms}^{-1}$
2 $0.25 \mathrm{~ms}^{-1}$
3 $10 \mathrm{~ms}^{-1}$
4 $3 \sqrt{2} \mathrm{~ms}^{-1}$
5 $0.5 \mathrm{~ms}^{-1}$
Work, Energy and Power

148960 A body of mass $2 \mathrm{~kg}$ is moving with a momentum of $10 \mathrm{~kg} \mathrm{~ms}^{-1}$. The force needed to increase its kinetic energy by four times in $\mathbf{1 0}$ seconds is

1 $2 \mathrm{~N}$
2 $4 \mathrm{~N}$
3 $1 \mathrm{~N}$
4 $0.5 \mathrm{~N}$
5 $8 \mathrm{~N}$
Work, Energy and Power

148956 A ball of mass $2 \mathrm{~kg}$ is moving in $x y$ plane with a potential energy given as $U=(12 x+16 y) J, x$ and $y$ being in meter. Assume the initial position of the ball at $t=0$ is at origin $(0,0)$ and it is moving with a velocity of $(15 \hat{\mathbf{i}}+20 \hat{\mathbf{j}}) \mathrm{m} / \mathrm{s}$. Then identify the correct statement.

1 The path of the ball is parabolic
2 The direction of motion of the ball initially at $\mathrm{t}=0$ parallel to the direction of acceleration
3 The speed of the ball at $t=2 \mathrm{~s}$ is $5 \mathrm{~m} / \mathrm{s}$
4 The magnitude of acceleration of the ball is 8 $\mathrm{m} / \mathrm{s}^{2}$
Work, Energy and Power

148957 Consider a rocket is being fired. The kinetic energy of the rocket is increased by 16 times where as its total mass is reduced by half through the burning of fuel. The factor by which its momentum increases is

1 8
2 $2 \sqrt{2}$
3 4
4 $4 \sqrt{2}$
Work, Energy and Power

148958 The momentum of a particle is numerically equal to its kinetic energy. What will be the velocity of the particle?

1 $1 \mathrm{~m} \cdot \mathrm{s}^{-1}$
2 $2 \mathrm{~m} \cdot \mathrm{s}^{-1}$
3 $3 \mathrm{~m} \cdot \mathrm{s}^{-1}$
4 $4 \mathrm{~m} \cdot \mathrm{s}^{-1}$
Work, Energy and Power

148959 A running boy has the same kinetic energy as that of a man of twice his mass. If the speed of the boy is $14.14 \mathrm{~ms}^{-1}$, the speed of the man is

1 $1.414 \mathrm{~ms}^{-1}$
2 $0.25 \mathrm{~ms}^{-1}$
3 $10 \mathrm{~ms}^{-1}$
4 $3 \sqrt{2} \mathrm{~ms}^{-1}$
5 $0.5 \mathrm{~ms}^{-1}$
Work, Energy and Power

148960 A body of mass $2 \mathrm{~kg}$ is moving with a momentum of $10 \mathrm{~kg} \mathrm{~ms}^{-1}$. The force needed to increase its kinetic energy by four times in $\mathbf{1 0}$ seconds is

1 $2 \mathrm{~N}$
2 $4 \mathrm{~N}$
3 $1 \mathrm{~N}$
4 $0.5 \mathrm{~N}$
5 $8 \mathrm{~N}$